{"idx": 0, "text": "To find out how much Janet makes at the farmers' market every day, we can follow these steps:\n\n1. **Identify the total number of eggs laid daily:**\n Janet's ducks lay 16 eggs per day.\n\n2. **Calculate the number of eggs used for personal consumption and baking:**\n * Eggs eaten for breakfast: 3\n * Eggs used for muffins: 4\n * Total eggs used = 3 + 4 = 7 eggs.\n\n3. **Calculate the number of eggs remaining for sale:**\n Subtract the eggs used from the total number of eggs laid:\n * Remaining eggs = 16 - 7 = 9 eggs.\n\n4. **Calculate the total daily earnings from selling the eggs:**\n Janet sells each remaining egg for $2.\n * Earnings = 9 eggs \u00d7 $2 per egg = $18.\n\nJanet makes $18 every day at the farmers' market.\n\n#### 18", "pred": "18", "gold": "18", "correct": true, "n_new": 217, "stop": "stop", "seconds": 2.6590781211853027} {"idx": 1, "text": "To find the total number of bolts required for the robe, we can follow these steps:\n\n1. **Identify the amount of blue fiber:**\n The problem states that the robe takes 2 bolts of blue fiber.\n Blue fiber = 2 bolts.\n\n2. **Calculate the amount of white fiber:**\n The problem states that it takes \"half that much\" white fiber (half the amount of blue fiber).\n White fiber = 2 bolts / 2 = 1 bolt.\n\n3. **Calculate the total number of bolts:**\n Add the blue fiber and the white fiber together.\n Total = 2 bolts (blue) + 1 bolt (white) = 3 bolts.\n\n#### 3", "pred": "3", "gold": "3", "correct": true, "n_new": 157, "stop": "stop", "seconds": 2.859590530395508} {"idx": 2, "text": "To find the profit Josh made, we need to calculate his total investment, the final value of the house, and then subtract the total investment from the final value.\n\n**Step 1: Calculate the total investment.**\nJosh spent money on the purchase and the repairs.\nTotal Investment = Purchase Price + Repair Costs\nTotal Investment = $80,000 + $50,000\nTotal Investment = $130,000\n\n**Step 2: Calculate the value of the house after repairs.**\nThe problem states that the repairs increased the value of the house by 150%. This increase is based on the original purchase price ($80,000).\nIncrease in Value = 150% of $80,000\nIncrease in Value = 1.50 \u00d7 $80,000\nIncrease in Value = $120,000\n\n**Step 3: Calculate the final value of the house.**\nFinal Value = Original Price + Increase in Value\nFinal Value = $80,000 + $120,000\nFinal Value = $200,000\n\n**Step 4: Calculate the profit.**\nProfit = Final Value - Total Investment\nProfit = $200,000 - $130,000\nProfit = $70,000\n\n#### 70,000", "pred": "70000", "gold": "70000", "correct": true, "n_new": 309, "stop": "stop", "seconds": 3.2729623317718506} {"idx": 3, "text": "To find the total number of meters James runs in a week, we can follow these steps:\n\n1. **Calculate the distance run in one session:**\n James runs 3 sprints per session, and each sprint is 60 meters.\n $3 \\text{ sprints} \\times 60 \\text{ meters/sprint} = 180 \\text{ meters per session}$.\n\n2. **Calculate the total distance run in a week:**\n James runs these sessions 3 times a week.\n $180 \\text{ meters/session} \\times 3 \\text{ sessions/week} = 540 \\text{ meters per week}$.\n\nAlternatively, you can calculate the total number of sprints first:\n1. **Total sprints per week:**\n $3 \\text{ sprints/session} \\times 3 \\text{ sessions/week} = 9 \\text{ sprints per week}$.\n2. **Total distance:**\n $9 \\text{ sprints} \\times 60 \\text{ meters/sprint} = 540 \\text{ meters}$.\n\n#### 540", "pred": "540", "gold": "540", "correct": true, "n_new": 249, "stop": "stop", "seconds": 2.7326138019561768} {"idx": 4, "text": "To find the number of cups of feed Wendi needs to give her chickens in the final meal, we can follow these steps:\n\n1. **Determine the total number of cups of feed required per day for the entire flock:**\n * Wendi has 20 chickens.\n * Each chicken receives 3 cups of feed per day.\n * Total feed = $20 \\text{ chickens} \\times 3 \\text{ cups/chicken} = 60 \\text{ cups}$.\n\n2. **Calculate the total amount of feed already given:**\n * Morning meal: 15 cups.\n * Afternoon meal: 25 cups.\n * Total feed given so far = $15 + 25 = 40 \\text{ cups}$.\n\n3. **Calculate the amount needed for the final meal:**\n * Total required - Total given = Final meal.\n * $60 \\text{ cups} - 40 \\text{ cups} = 20 \\text{ cups}$.\n\n#### 20", "pred": "20", "gold": "20", "correct": true, "n_new": 237, "stop": "stop", "seconds": 3.9769020080566406} {"idx": 5, "text": "To find the total cost of the glasses, we need to determine the price of each glass and the number of glasses at each price point.\n\n**Step 1: Determine the price of the first glass and the subsequent glasses.**\n- The price of the first glass is $5.\n- The price of every second glass (the 2nd, 4th, 6th, etc.) is 60% of the price of the first glass.\n- Calculation: $5 \\times 0.60 = 3$.\n- So, the glasses alternate in price: $5, $3, $5, $3, ...\n\n**Step 2: Identify the number of glasses at each price.**\n- Kylar wants to buy 16 glasses in total.\n- Since the prices alternate between $5 and $3, there are an equal number of glasses at each price.\n- Number of glasses at $5 = 16 / 2 = 8$.\n- Number of glasses at $3 = 16 / 2 = 8$.\n\n**Step 3: Calculate the total cost.**\n- Cost for the 8 glasses at $5: $8 \\times 5 = 40$.\n- Cost for the 8 glasses at $3: $8 \\times 3 = 24$.\n- Total cost: $40 + 24 = 64$.\n\n#### 64", "pred": "64", "gold": "64", "correct": true, "n_new": 306, "stop": "stop", "seconds": 3.884248733520508} {"idx": 6, "text": "To find the total number of sheep in Toulouse, Charleston, and Seattle, we can solve the problem step by step based on the information provided:\n\n1. **Identify the number of sheep in Seattle:**\n The problem states that Seattle has 20 sheep.\n Seattle = 20\n\n2. **Calculate the number of sheep in Charleston:**\n The problem states that Charleston has 4 times as many sheep as Seattle.\n Charleston = 4 \u00d7 Seattle\n Charleston = 4 \u00d7 20 = 80\n\n3. **Calculate the number of sheep in Toulouse:**\n The problem states that Toulouse has twice as many sheep as Charleston.\n Toulouse = 2 \u00d7 Charleston\n Toulouse = 2 \u00d7 80 = 160\n\n4. **Calculate the total number of sheep:**\n To find the total, add the sheep from all three cities together.\n Total = Toulouse + Charleston + Seattle\n Total = 160 + 80 + 20\n Total = 240 + 20 = 260\n\n#### 260", "pred": "260", "gold": "260", "correct": true, "n_new": 248, "stop": "stop", "seconds": 2.5252797603607178} {"idx": 7, "text": "To find the total time it takes Carla to download the file, we break the process into three distinct stages:\n\n**Stage 1: The first partial download**\n1. The total file size is 200 GB.\n2. Carla downloads 40% of the file before the restart.\n $200 \\text{ GB} \\times 0.40 = 80 \\text{ GB}$.\n3. Her download speed is 2 GB/minute.\n4. Time taken for this part: $80 \\text{ GB} / 2 \\text{ GB/min} = 40 \\text{ minutes}$.\n\n**Stage 2: The Windows update restart**\n1. The system forces a restart for updates.\n2. Time taken for this part: $20 \\text{ minutes}$.\n\n**Stage 3: The full download from the beginning**\n1. Because the download was restarted from the beginning, Carla must download the entire 200 GB file again.\n2. Time taken for this part: $200 \\text{ GB} / 2 \\text{ GB/min} = 100 \\text{ minutes}$.\n\n**Total Time Calculation:**\nTo find the total time, we sum the time from all three stages:\n$\\text{Total Time} = 40 \\text{ minutes (Stage 1)} + 20 \\text{ minutes (Stage 2)} + 100 \\text{ minutes (Stage 3)}$\n$\\text{Total Time} = 160 \\text{ minutes}$.\n\n#### 160", "pred": "160", "gold": "160", "correct": true, "n_new": 356, "stop": "stop", "seconds": 4.270570993423462} {"idx": 8, "text": "To find out how far John is from home, we need to calculate the distance he traveled away from home and subtract the distance he traveled back toward home.\n\n**Step 1: Calculate the distance from home.**\nJohn drives for 3 hours at a speed of 60 mph.\n$\\text{Distance} = \\text{Speed} \\times \\text{Time}$\n$\\text{Distance} = 60 \\text{ mph} \\times 3 \\text{ hours} = 180 \\text{ miles}$.\nSo, he is 180 miles away from home when he turns around.\n\n**Step 2: Calculate the distance traveled back toward home.**\nJohn spends a total of 4 hours trying to get back. We break this down into three segments:\n1. **First 2 hours:** He is in standstill traffic.\n $\\text{Distance} = 0 \\text{ mph} \\times 2 \\text{ hours} = 0 \\text{ miles}$.\n2. **Next half-hour (0.5 hours):** He drives at 30 mph.\n $\\text{Distance} = 30 \\text{ mph} \\times 0.5 \\text{ hours} = 15 \\text{ miles}$.\n3. **Remaining time:** The total time spent is 4 hours. He has already spent $2 + 0.5 = 2.5$ hours.\n $\\text{Remaining time} = 4 \\text{ hours} - 2.5 \\text{ hours} = 1.5 \\text{ hours}$.\n He drives this time at 80 mph.\n $\\text{Distance} = 80 \\text{ mph} \\times 1.5 \\text{ hours} = 120 \\text{ miles}$.\n\n**Step 3: Calculate the total distance traveled back.**\n$\\text{Total distance back} = 0 \\text{ miles} + 15 \\text{ miles} + 120 \\text{ miles} = 135 \\text{ miles}$.\n\n**Step 4: Calculate the final distance from home.**\nSubtract the distance traveled back from the initial distance away.\n$\\text{Final distance} = 180 \\text{ miles} - 135 \\text{ miles} = 45 \\text{", "pred": "45", "gold": "45", "correct": true, "n_new": 512, "stop": "length", "seconds": 5.898942470550537} {"idx": 9, "text": "To find Eliza's total earnings for the week, we need to calculate her regular pay and her overtime pay separately and then sum them up.\n\n**Step 1: Calculate regular earnings.**\nEliza works 40 hours at a regular rate of $10 per hour.\nRegular Earnings = 40 hours \u00d7 $10/hour\nRegular Earnings = $400\n\n**Step 2: Calculate the overtime rate.**\nOvertime pay is 1.2 times her regular hourly rate.\nOvertime Rate = $10 \u00d7 1.2\nOvertime Rate = $12 per hour\n\n**Step 3: Calculate the number of overtime hours.**\nEliza worked a total of 45 hours. The first 40 hours are regular hours.\nOvertime Hours = Total Hours - Regular Hours\nOvertime Hours = 45 - 40\nOvertime Hours = 5 hours\n\n**Step 4: Calculate overtime earnings.**\nOvertime Earnings = Overtime Hours \u00d7 Overtime Rate\nOvertime Earnings = 5 hours \u00d7 $12/hour\nOvertime Earnings = $60\n\n**Step 5: Calculate total earnings.**\nTotal Earnings = Regular Earnings + Overtime Earnings\nTotal Earnings = $400 + $60\nTotal Earnings = $460\n\n#### 460", "pred": "460", "gold": "460", "correct": true, "n_new": 285, "stop": "stop", "seconds": 3.267467498779297} {"idx": 10, "text": "To find the total number of downloads over the three months, we will calculate the downloads for each month step by step.\n\n**Step 1: Find the downloads for the first month.**\nThe problem states that the first month had:\nMonth 1 = 60 downloads.\n\n**Step 2: Find the downloads for the second month.**\nThe number of downloads in the second month was three times as many as the first month:\nMonth 2 = 60 \u00d7 3 = 180 downloads.\n\n**Step 3: Find the downloads for the third month.**\nThe number of downloads in the third month was reduced by 30% from the second month's total.\nFirst, calculate 30% of the second month's downloads:\n30% of 180 = 0.30 \u00d7 180 = 54.\nThen, subtract that reduction from the second month's total:\nMonth 3 = 180 - 54 = 126 downloads.\n(Alternatively: Month 3 = 180 \u00d7 0.70 = 126).\n\n**Step 4: Calculate the total downloads over the three months.**\nTotal = Month 1 + Month 2 + Month 3\nTotal = 60 + 180 + 126\nTotal = 240 + 126\nTotal = 366.\n\n#### 366", "pred": "366", "gold": "366", "correct": true, "n_new": 318, "stop": "stop", "seconds": 3.429265260696411} {"idx": 11, "text": "To find the total cost of the pastries Toula bought, we need to calculate the cost for each type of pastry and then sum them up.\n\n**Step 1: Calculate the cost of the donuts.**\nToula bought 3 dozen donuts at $68 per dozen.\n$3 \\times 68 = 204$\nThe cost for the donuts is $204.\n\n**Step 2: Calculate the cost of the mini cupcakes.**\nToula bought 2 dozen mini cupcakes at $80 per dozen.\n$2 \\times 80 = 160$\nThe cost for the mini cupcakes is $160.\n\n**Step 3: Calculate the cost of the mini cheesecakes.**\nToula bought 6 dozen mini cheesecakes at $55 per dozen.\n$6 \\times 55 = 330$\nThe cost for the mini cheesecakes is $330.\n\n**Step 4: Calculate the total cost.**\nAdd the costs of all three types of pastries together:\n$204 + 160 + 330$\n$204 + 160 = 364$\n$364 + 330 = 694$\n\nThe total cost of the pastries is $694.\n\n#### 694", "pred": "694", "gold": "694", "correct": true, "n_new": 294, "stop": "stop", "seconds": 2.957932949066162} {"idx": 12, "text": "To find out how many years it will take for Carlos to start earning money, we need to calculate the annual profit and then determine how long it takes to cover the initial cost.\n\n**Step 1: Calculate the annual revenue from the lemons.**\nThe tree produces 7 lemons per year, and each lemon sells for $1.50.\nAnnual Revenue = 7 lemons \u00d7 $1.50/lemon = $10.50\n\n**Step 2: Calculate the annual profit.**\nThe cost to water and feed the tree is $3 per year.\nAnnual Profit = Annual Revenue - Annual Cost\nAnnual Profit = $10.50 - $3.00 = $7.50\n\n**Step 3: Calculate the number of years to cover the initial cost.**\nThe initial cost to plant the tree is $90. We divide the total cost by the annual profit to find the number of years.\nYears = Total Cost / Annual Profit\nYears = $90 / $7.50\n\nTo simplify the division:\n$90 / 7.5 = 900 / 75$\n$900 / 75 = 12$\n\n**Step 4: Interpret the result.**\nAfter 12 years, Carlos will have earned exactly $90 ($7.50 \u00d7 12 = $90), which covers the initial cost. Therefore, he starts earning money (profit beyond the initial investment) starting in the 13th year. However, the question asks how many years it will take *before* he starts earning money (i.e., the point at which the investment is paid off).\n\nAt the end of 12 years, the balance is $0. Any year after that is profit.\n\n#### 12", "pred": "12", "gold": "13", "correct": false, "n_new": 384, "stop": "stop", "seconds": 4.963962554931641} {"idx": 13, "text": "To find out how many vacuum cleaners Melanie started with, we can work backward from the final number of vacuum cleaners she had left.\n\n**Step 1: Analyze the orange house.**\nMelanie sold half of what was left at the orange house and had 5 left.\nIf 5 is the half that remained, then before she sold the vacuum cleaners at the orange house, she must have had:\n$5 \\times 2 = 10$ vacuum cleaners.\n\n**Step 2: Analyze the red house.**\nBefore the orange house, she had 10 vacuum cleaners. We know she sold 2 vacuum cleaners at the red house. To find out how many she had before the red house, we add those 2 back:\n$10 + 2 = 12$ vacuum cleaners.\n\n**Step 3: Analyze the green house.**\nBefore the red house, she had 12 vacuum cleaners. We know that at the green house, she sold a third of her total starting inventory. This means the 12 vacuum cleaners represent the remaining two-thirds of her starting inventory.\nIf $\\frac{2}{3}$ of the total is 12, we can find the total ($x$) using the equation:\n$\\frac{2}{3}x = 12$\nTo solve for $x$, multiply both sides by $\\frac{3}{2}$:\n$x = 12 \\times \\frac{3}{2}$\n$x = 6 \\times 3$\n$x = 18$\n\n**Verification:**\n- Start with 18.\n- Green house: Sold $\\frac{1}{3}$ of 18 = 6. Remaining: $18 - 6 = 12$.\n- Red house: Sold 2. Remaining: $12 - 2 = 10$.\n- Orange house: Sold half of 10 = 5. Remaining: $10 - 5 = 5$.\nThe numbers match the problem description.\n\n#### 18", "pred": "18", "gold": "18", "correct": true, "n_new": 437, "stop": "stop", "seconds": 5.73687481880188} {"idx": 14, "text": "To find the percentage of the entire class enrolled in hip-hop dance, we will follow these steps:\n\n1. **Calculate the number of students in contemporary dance:**\n The total number of students is 20.\n 20% of 20 = $0.20 \\times 20 = 4$ students.\n\n2. **Calculate the number of remaining students:**\n Remaining students = Total students - Contemporary students\n Remaining students = $20 - 4 = 16$ students.\n\n3. **Calculate the number of students in jazz dance:**\n 25% of the remaining students enrolled in jazz dance.\n 25% of 16 = $0.25 \\times 16 = 4$ students.\n\n4. **Calculate the number of students in hip-hop dance:**\n The rest of the students enrolled in hip-hop dance.\n Hip-hop students = Remaining students - Jazz students\n Hip-hop students = $16 - 4 = 12$ students.\n\n5. **Calculate the percentage of the entire class enrolled in hip-hop dance:**\n To find the percentage, divide the number of hip-hop students by the total number of students and multiply by 100.\n Percentage = $(\\frac{12}{20}) \\times 100$\n Percentage = $0.6 \\times 100 = 60\\%$.\n\n#### 60%", "pred": "60", "gold": "60", "correct": true, "n_new": 324, "stop": "stop", "seconds": 3.1648311614990234} {"idx": 15, "text": "To find the maximum profit the merchant can make, we need to calculate the expected profit for both purchase plans and compare them.\n\n**Step 1: Calculate the profit for the jewelry purchase.**\n* Initial value of jewelry: $5,000\n* Expected growth rate: 2.5%\n* Profit calculation: $5,000 \\times 0.025$\n* $5,000 \\times 0.025 = 125$\n* The profit from jewelry is $125.\n\n**Step 2: Calculate the profit for the electronic gadgets purchase.**\n* Initial value of electronics: $8,000\n* Expected growth rate: 1.2%\n* Profit calculation: $8,000 \\times 0.012$\n* $8,000 \\times 0.012 = 96$\n* The profit from electronics is $96.\n\n**Step 3: Compare the profits and determine the maximum.**\n* Profit from jewelry: $125\n* Profit from electronics: $96\n* Since $125 > $96, the merchant should choose the jewelry to maximize profit.\n\nThe maximum profit is $125.\n\n#### 125", "pred": "125", "gold": "125", "correct": true, "n_new": 293, "stop": "stop", "seconds": 3.3512487411499023} {"idx": 16, "text": "To find the total distance covered by each train, we can break the problem down into the two days of travel:\n\n1. **Identify the distance traveled on the first day:**\n Both trains travel westward for 80 miles.\n Distance Day 1 = 80 miles.\n\n2. **Identify the distance traveled on the second day:**\n Both trains travel northwards for 150 miles.\n Distance Day 2 = 150 miles.\n\n3. **Calculate the total distance for each train:**\n Since both trains followed the same path and covered the same distances on both days, we add the distance from Day 1 and Day 2 together.\n Total Distance = Distance Day 1 + Distance Day 2\n Total Distance = 80 miles + 150 miles\n Total Distance = 230 miles.\n\nEach train covered a total of 230 miles over the two days.\n\n#### 230", "pred": "230", "gold": "230", "correct": true, "n_new": 211, "stop": "stop", "seconds": 2.3208730220794678} {"idx": 17, "text": "To find Jill's annual salary, we need to calculate her weekly earnings for both jobs and then multiply the total weekly earnings by the number of weeks she works per year.\n\n**Step 1: Calculate weekly earnings as a teacher.**\nJill works 35 hours a week as a teacher at a rate of $20 per hour.\n$35 \\text{ hours} \\times \\$20/\\text{hour} = \\$700$\n\n**Step 2: Calculate weekly earnings as a cheerleading coach.**\nJill works 15 hours a week as a coach at a rate of $30 per hour.\n$15 \\text{ hours} \\times \\$30/\\text{hour} = \\$450$\n\n**Step 3: Calculate total weekly earnings.**\nAdd the earnings from both jobs together.\n$\\$700 + \\$450 = \\$1,150$\n\n**Step 4: Calculate annual salary.**\nMultiply the total weekly earnings by the number of weeks worked per year (50 weeks).\n$\\$1,150 \\times 50 = \\$57,500$\n\n#### 57500", "pred": "57500", "gold": "57500", "correct": true, "n_new": 254, "stop": "stop", "seconds": 2.7455296516418457} {"idx": 18, "text": "To find the number of dozens of eggs Claire will eat in 4 weeks, we can follow these steps:\n\n1. **Calculate the number of eggs eaten per day:**\n Claire eats 3 eggs every morning.\n Eggs per day = 3\n\n2. **Calculate the number of eggs eaten per week:**\n There are 7 days in a week.\n Eggs per week = 3 eggs/day \u00d7 7 days/week = 21 eggs/week\n\n3. **Calculate the total number of eggs eaten in 4 weeks:**\n Eggs in 4 weeks = 21 eggs/week \u00d7 4 weeks = 84 eggs\n\n4. **Convert the total number of eggs into dozens:**\n There are 12 eggs in one dozen.\n Dozens = Total eggs \u00f7 12\n Dozens = 84 \u00f7 12 = 7\n\n#### 7", "pred": "7", "gold": "7", "correct": true, "n_new": 202, "stop": "stop", "seconds": 2.265261173248291} {"idx": 19, "text": "To find the speed Marissa needs to walk the remaining distance, we can follow these steps:\n\n**1. Determine the total distance and the target total time:**\n* Total distance = 12 miles.\n* Desired average speed = 4 miles per hour.\n* Total time allowed = $\\text{Total distance} \\div \\text{Average speed} = 12 \\text{ miles} \\div 4 \\text{ mph} = 3 \\text{ hours}$.\n\n**2. Calculate the distance and time already covered:**\n* First segment: Distance = 4 miles, Time = 1 hour.\n* Second segment: Distance = 2 miles, Time = 1 hour.\n* Total distance covered so far = $4 + 2 = 6 \\text{ miles}$.\n* Total time spent so far = $1 + 1 = 2 \\text{ hours}$.\n\n**3. Calculate the remaining distance and remaining time:**\n* Remaining distance = $\\text{Total distance} - \\text{Distance covered} = 12 - 6 = 6 \\text{ miles}$.\n* Remaining time = $\\text{Total time allowed} - \\text{Time spent} = 3 - 2 = 1 \\text{ hour}$.\n\n**4. Calculate the required speed for the remaining distance:**\n* Required speed = $\\text{Remaining distance} \\div \\text{Remaining time}$.\n* Required speed = $6 \\text{ miles} \\div 1 \\text{ hour} = 6 \\text{ mph}$.\n\n#### 6", "pred": "6", "gold": "6", "correct": true, "n_new": 343, "stop": "stop", "seconds": 3.8002917766571045} {"idx": 20, "text": "To find the total amount of water in the final mixture, we will calculate the amount of water in each drink separately and then sum them up.\n\n**Step 1: Calculate the water in the orange drink.**\nThe initial volume of the orange drink is 10 liters.\nThe fraction of water in the orange drink is $\\frac{2}{3}$.\nAmount of water in the orange drink = $10 \\times \\frac{2}{3} = \\frac{20}{3}$ liters.\n\n**Step 2: Account for the spilled orange drink.**\nOne liter of the orange drink is spilled. Since the drink is a homogeneous mixture, the spilled liter contains the same proportion of water ($\\frac{2}{3}$).\nAmount of water spilled = $1 \\times \\frac{2}{3} = \\frac{2}{3}$ liters.\nRemaining water in the orange drink = $\\frac{20}{3} - \\frac{2}{3} = \\frac{18}{3} = 6$ liters.\n\n**Step 3: Calculate the water in the pineapple drink.**\nThe volume of the pineapple drink is 15 liters.\nThe fraction of water in the pineapple drink is $\\frac{3}{5}$.\nAmount of water in the pineapple drink = $15 \\times \\frac{3}{5} = 3 \\times 3 = 9$ liters.\n\n**Step 4: Calculate the total volume and total water.**\nThe remaining volume of the orange drink is $10 - 1 = 9$ liters.\nThe volume of the pineapple drink is 15 liters.\nTotal volume = $9 + 15 = 24$ liters (this matches the total volume given in the problem).\nTotal water = Water in orange drink + Water in pineapple drink.\nTotal water = $6 + 9 = 15$ liters.\n\n#### 15", "pred": "15", "gold": "15", "correct": true, "n_new": 408, "stop": "stop", "seconds": 4.799416542053223} {"idx": 21, "text": "To find out how many years ago Raymond's son was born, we can follow these steps:\n\n1. **Determine Raymond's current age:**\n Samantha is currently 31 years old.\n Raymond was born 6 years before Samantha, which means he is 6 years older than her.\n $31 + 6 = 37$ years old.\n\n2. **Determine the year Raymond's son was born (relative to Raymond's age):**\n Raymond had his son at the age of 23.\n\n3. **Calculate how many years ago the son was born:**\n Subtract the age Raymond was when his son was born from Raymond's current age.\n $37 - 23 = 14$ years.\n\nAlternatively, we can calculate it this way:\n- Samantha is 31.\n- Raymond is $31 + 6 = 37$.\n- The son was born when Raymond was 23.\n- The difference between Raymond's current age (37) and the age he was when the son was born (23) is $37 - 23 = 14$.\n\n#### 14", "pred": "14", "gold": "14", "correct": true, "n_new": 261, "stop": "stop", "seconds": 3.307262897491455} {"idx": 22, "text": "To find the total number of DVDs Billy sold, we can break the problem down into the groups of customers described:\n\n1. **First group of customers:**\n There were 3 customers who bought 1 DVD each.\n Calculation: $3 \\times 1 = 3$ DVDs.\n\n2. **Second group of customers:**\n There were 2 customers who bought 2 DVDs each.\n Calculation: $2 \\times 2 = 4$ DVDs.\n\n3. **Third group of customers:**\n There were 3 customers who bought 0 DVDs.\n Calculation: $3 \\times 0 = 0$ DVDs.\n\n4. **Total DVDs sold:**\n Add the DVDs from all groups together:\n $3 + 4 + 0 = 7$ DVDs.\n\n(Note: We can verify the total number of customers: $3 + 2 + 3 = 8$, which matches the total given in the problem.)\n\n#### 7", "pred": "7", "gold": "7", "correct": true, "n_new": 216, "stop": "stop", "seconds": 2.4259159564971924} {"idx": 23, "text": "To find out how many centimeters shorter the candle will be, we can follow these steps:\n\n1. **Determine the total time elapsed:**\n The candle burns from 1:00 PM to 5:00 PM.\n $5 - 1 = 4$ hours.\n\n2. **Identify the rate of melting:**\n The candle melts at a rate of 2 centimeters per hour.\n\n3. **Calculate the total length melted:**\n Multiply the total time by the rate of melting:\n $4 \\text{ hours} \\times 2 \\text{ cm/hour} = 8 \\text{ cm}$.\n\nThe candle will be 8 centimeters shorter.\n\n#### 8", "pred": "8", "gold": "8", "correct": true, "n_new": 154, "stop": "stop", "seconds": 1.7473063468933105} {"idx": 24, "text": "To find the original price of the book, we can follow these steps:\n\n1. **Identify the given information:**\n * Sale Price = $19.50\n * Discount Rate = 25%\n\n2. **Understand the relationship between the prices:**\n * The sale price represents the original price minus the discount.\n * If the discount is 25%, the sale price is $100\\% - 25\\% = 75\\%$ of the original price.\n\n3. **Set up the equation:**\n * Let $x$ be the original price.\n * $0.75 \\times x = 19.50$\n\n4. **Solve for $x$:**\n * To find $x$, divide the sale price by 0.75:\n * $x = \\frac{19.50}{0.75}$\n\n5. **Perform the calculation:**\n * To make it easier, you can multiply both the numerator and denominator by 100 to remove the decimals:\n * $x = \\frac{1950}{75}$\n * Divide 1950 by 75:\n * $75 \\times 2 = 150$\n * $195 - 150 = 45$\n * Bring down the 0 to make 450.\n * $75 \\times 6 = 450$\n * So, $x = 26$\n\n6. **Verify the answer:**\n * 25% of $26.00 = 0.25 \\times 26 = 6.50$\n * $26.00 - 6.50 = 19.50$\n * The calculation is correct.\n\n#### 26.00", "pred": "26", "gold": "26", "correct": true, "n_new": 440, "stop": "stop", "seconds": 4.6484270095825195} {"idx": 25, "text": "To find out how many boxes of pizza Marie ordered, we need to calculate the total cost of the items we know and subtract that from the total amount paid.\n\n**Step 1: Calculate the cost of the chicken meal.**\nCost = $12.00\n\n**Step 2: Calculate the cost of the milk.**\nMarie bought 5 packs of milk at $3 each.\n$5 \\times 3 = \\$15.00$\n\n**Step 3: Calculate the cost of the apples.**\nMarie bought 4 apples at $1.50 each.\n$4 \\times 1.50 = \\$6.00$\n\n**Step 4: Calculate the subtotal of these items.**\nSubtotal = $12.00 (chicken) + $15.00 (milk) + $6.00 (apples)\nSubtotal = $33.00\n\n**Step 5: Calculate the remaining amount spent on pizza.**\nMarie paid a total of $50.00. Subtract the subtotal from the total.\n$50.00 - $33.00 = $17.00\n\n**Step 6: Calculate the number of pizza boxes.**\nEach box of pizza costs $8.50. We divide the remaining amount by the cost per box.\n$17.00 \\div 8.50 = 2$\n\nMarie ordered 2 boxes of pizza.\n\n#### 2", "pred": "2", "gold": "2", "correct": true, "n_new": 320, "stop": "stop", "seconds": 3.6361827850341797} {"idx": 26, "text": "To find the total amount Mishka spent, we need to calculate the cost of each type of clothing item and then sum them up.\n\n**Step 1: Calculate the cost of the shorts.**\nMishka bought 3 pairs of shorts, and each pair costs $16.50.\n$3 \\times \\$16.50 = \\$49.50$\n\n**Step 2: Calculate the cost of the pants.**\nMishka bought 3 pairs of pants, and each pair costs $22.50.\n$3 \\times \\$22.50 = \\$67.50$\n\n**Step 3: Calculate the cost of the shoes.**\nMishka bought 3 pairs of shoes, and each pair costs $42.00.\n$3 \\times \\$42.00 = \\$126.00$\n\n**Step 4: Calculate the total cost.**\nAdd the costs of the shorts, pants, and shoes together:\n$\\$49.50 + \\$67.50 + \\$126.00$\n\nFirst, add the shorts and pants:\n$\\$49.50 + \\$67.50 = \\$117.00$\n\nThen, add the shoes:\n$\\$117.00 + \\$126.00 = \\$243.00$\n\nMishka spent a total of $243.00.\n\n#### 243", "pred": "243", "gold": "243", "correct": true, "n_new": 325, "stop": "stop", "seconds": 3.3791708946228027} {"idx": 27, "text": "To find the total amount Cynthia spends on ice cream after 60 days, we can follow these steps:\n\n1. **Determine the total number of servings needed:**\n Cynthia eats one serving every night for 60 days.\n Total servings = 60 days \u00d7 1 serving/day = 60 servings.\n\n2. **Determine the number of cartons needed:**\n Each carton contains 15 servings. To find out how many cartons she needs to buy to cover 60 servings:\n Number of cartons = Total servings \u00f7 Servings per carton\n Number of cartons = 60 \u00f7 15 = 4 cartons.\n\n3. **Calculate the total cost:**\n Each carton costs $4.00.\n Total cost = Number of cartons \u00d7 Cost per carton\n Total cost = 4 cartons \u00d7 $4.00/carton = $16.00.\n\n#### 16", "pred": "16", "gold": "16", "correct": true, "n_new": 205, "stop": "stop", "seconds": 2.222146987915039} {"idx": 28, "text": "To find the number of miles Henry traveled between his first and second stops, we can follow these steps:\n\n1. **Identify the total distance of the trip:**\n The total distance of the bike trip is 60 miles.\n\n2. **Determine the location of the first stop:**\n Henry made his first stop after traveling 20 miles.\n Position of first stop = 20 miles from the start.\n\n3. **Determine the location of the second stop:**\n The second stop was 15 miles before the end of the trip. Since the total trip is 60 miles, we subtract 15 from the total distance to find the position of the second stop.\n Position of second stop = 60 miles - 15 miles = 45 miles from the start.\n\n4. **Calculate the distance between the two stops:**\n To find the distance between the first stop and the second stop, subtract the position of the first stop from the position of the second stop.\n Distance = 45 miles - 20 miles = 25 miles.\n\n#### 25", "pred": "25", "gold": "25", "correct": true, "n_new": 242, "stop": "stop", "seconds": 2.7448387145996094} {"idx": 29, "text": "To find the cost of the boots, we can follow these steps:\n\n1. **Determine the cost of the first pair of high heels:**\n The problem states that one pair of heels costs $33.\n\n2. **Determine the cost of the second pair of high heels:**\n The problem states that the other pair costs twice as much as the first pair.\n Cost = $33 \\times 2 = \\$66$.\n\n3. **Calculate the total cost of both pairs of high heels:**\n Total cost of heels = $\\$33 + \\$66 = \\$99$.\n\n4. **Determine the cost of the boots:**\n The problem states that the two pairs of high heels together cost five dollars less than the boots. This means the boots cost five dollars more than the total cost of the heels.\n Cost of boots = $\\$99 + \\$5 = \\$104$.\n\n#### 104", "pred": "104", "gold": "104", "correct": true, "n_new": 204, "stop": "stop", "seconds": 2.3249764442443848} {"idx": 30, "text": "To find Allen's age 10 years from now, we can follow these steps:\n\n**Step 1: Determine the total parts in the ratio.**\nThe ratio of Darrell's age to Allen's age is 7:11.\nTotal parts = $7 + 11 = 18$.\n\n**Step 2: Find the value of one \"part\".**\nThe total age of Darrell and Allen now is 162.\nValue of one part = $\\frac{162}{18}$.\n$162 \\div 18 = 9$.\n\n**Step 3: Calculate Allen's current age.**\nAllen's share of the ratio is 11 parts.\nAllen's current age = $11 \\times 9 = 99$.\n\n**Step 4: Calculate Allen's age 10 years from now.**\nAllen's age in 10 years = $99 + 10 = 109$.\n\n**Verification:**\nDarrell's current age = $7 \\times 9 = 63$.\nCheck total age: $63 + 99 = 162$. (Correct)\n\n#### 109", "pred": "109", "gold": "109", "correct": true, "n_new": 267, "stop": "stop", "seconds": 2.9947996139526367} {"idx": 31, "text": "To find the average guess, we first need to determine the individual guesses of the three friends.\n\n**Step 1: Identify the first guess.**\nThe first friend says there are **80** jelly beans.\n\n**Step 2: Calculate the second guess.**\nThe second friend says there are 20 more than half of the first guess.\nHalf of the first guess is: $80 / 2 = 40$.\nAdding 20 to that: $40 + 20 = 60$.\nThe second guess is **60**.\n\n**Step 3: Calculate the third guess.**\nThe third friend says there are 25% more than the first guess.\n25% of the first guess is: $0.25 \\times 80 = 20$.\nAdding 20 to the first guess: $80 + 20 = 100$.\nThe third guess is **100**.\n\n**Step 4: Calculate the average of the three guesses.**\nThe three guesses are 80, 60, and 100.\nSum of the guesses: $80 + 60 + 100 = 240$.\nTo find the average, divide the sum by the number of friends (3):\n$240 / 3 = 80$.\n\n#### 80", "pred": "80", "gold": "80", "correct": true, "n_new": 300, "stop": "stop", "seconds": 3.2733042240142822} {"idx": 32, "text": "To find the total number of hours John spends taking care of dogs per week, follow these steps:\n\n1. **Calculate the total time spent per day:**\n John has 10 dogs, and each dog requires 0.5 hours of care per day.\n $10 \\text{ dogs} \\times 0.5 \\text{ hours/dog} = 5 \\text{ hours per day}$\n\n2. **Calculate the total time spent per week:**\n There are 7 days in a week. Multiply the daily time by the number of days in a week.\n $5 \\text{ hours/day} \\times 7 \\text{ days/week} = 35 \\text{ hours per week}$\n\n#### 35", "pred": "35", "gold": "35", "correct": true, "n_new": 165, "stop": "stop", "seconds": 1.6961116790771484} {"idx": 33, "text": "To find out how many gold coins Gretchen has, we can follow these steps:\n\n1. **Define the variables:**\n Let $G$ be the number of gold coins.\n Let $S$ be the number of silver coins.\n\n2. **Set up the equations based on the problem:**\n * The total number of coins is 110:\n $G + S = 110$\n * There are 30 more gold coins than silver coins:\n $G = S + 30$\n\n3. **Substitute the second equation into the first:**\n Replace $G$ in the first equation with $(S + 30)$:\n $(S + 30) + S = 110$\n\n4. **Solve for $S$ (silver coins):**\n Combine the $S$ terms:\n $2S + 30 = 110$\n Subtract 30 from both sides:\n $2S = 80$\n Divide by 2:\n $S = 40$\n\n5. **Solve for $G$ (gold coins):**\n Now use the value of $S$ to find $G$:\n $G = S + 30$\n $G = 40 + 30$\n $G = 70$\n\n6. **Check the work:**\n Total coins: $70 + 40 = 110$ (Correct)\n Difference: $70 - 40 = 30$ (Correct)\n\nGretchen has 70 gold coins.\n\n#### 70", "pred": "70", "gold": "70", "correct": true, "n_new": 371, "stop": "stop", "seconds": 3.530285358428955} {"idx": 34, "text": "To find out how many jewels Siobhan has, we can solve the problem step by step based on the information provided:\n\n1. **Identify Raymond's jewels:**\n The problem states that Raymond has 40 jewels.\n Raymond = 40\n\n2. **Calculate Aaron's jewels:**\n Aaron has 5 more jewels than half of Raymond's jewels.\n First, find half of Raymond's jewels: $40 \\div 2 = 20$.\n Then, add 5 to that amount: $20 + 5 = 25$.\n Aaron = 25\n\n3. **Calculate Siobhan's jewels:**\n Siobhan has 2 fewer jewels than Aaron.\n Subtract 2 from Aaron's total: $25 - 2 = 23$.\n Siobhan = 23\n\n#### 23", "pred": "23", "gold": "23", "correct": true, "n_new": 199, "stop": "stop", "seconds": 2.1165640354156494} {"idx": 35, "text": "To find the total number of points Mike scored, we can follow these steps:\n\n1. **Identify the points scored in the first 20 minutes:**\n Mike scored 4 points in the first 20 minutes.\n\n2. **Calculate the points scored in the second 20 minutes:**\n He scored 25% more points than he did in the first 20 minutes.\n First, find 25% of 4:\n $0.25 \\times 4 = 1$\n Now, add that to the initial 4 points:\n $4 + 1 = 5$ points.\n (Alternatively, $4 \\times 1.25 = 5$).\n\n3. **Calculate the total points:**\n Add the points from the first 20 minutes and the second 20 minutes together:\n $4 + 5 = 9$ points.\n\n#### 9", "pred": "9", "gold": "9", "correct": true, "n_new": 207, "stop": "stop", "seconds": 2.2726800441741943} {"idx": 36, "text": "To find out how much Terry spends on yogurt over 30 days, we can follow these steps:\n\n1. **Calculate the total number of yogurts Terry eats in 30 days:**\n Terry eats 2 yogurts a day.\n $2 \\text{ yogurts/day} \\times 30 \\text{ days} = 60 \\text{ yogurts}$\n\n2. **Determine the price per yogurt:**\n The sale is 4 yogurts for $5.00.\n $\\$5.00 \\div 4 \\text{ yogurts} = \\$1.25 \\text{ per yogurt}$\n\n3. **Calculate the total cost for 60 yogurts:**\n Multiply the total number of yogurts by the price per yogurt.\n $60 \\text{ yogurts} \\times \\$1.25 = \\$75.00$\n\n *Alternative method for step 3:*\n Determine how many sets of 4 yogurts are in 60.\n $60 \\div 4 = 15 \\text{ sets}$\n Multiply the number of sets by the price per set.\n $15 \\times \\$5.00 = \\$75.00$\n\nTerry spends $75.00 on yogurt over 30 days.\n\n#### 75.00", "pred": "75", "gold": "75", "correct": true, "n_new": 301, "stop": "stop", "seconds": 3.266770124435425} {"idx": 37, "text": "To find out how many lego sets John still has, let's follow the steps of the problem:\n\n1. **Calculate the total money John earned from selling the lego sets:**\n John had 13 lego sets and sold them for $15 each.\n $13 \\times 15 = 195$\n John earned $195.\n\n2. **Calculate the total cost of the video games:**\n John bought 8 video games for $20 each.\n $8 \\times 20 = 160$\n The video games cost $160.\n\n3. **Calculate how much money John should have left:**\n Subtract the cost of the games from the money earned.\n $195 - 160 = 35$\n John should have $35 left.\n\n4. **Compare the expected leftover money with the actual leftover money:**\n The problem states John has $5 left.\n $35 (\\text{expected}) - 5 (\\text{actual}) = 30$\n This means John spent or \"lost\" $30 worth of value from his initial earnings.\n\n5. **Determine how many lego sets he still has:**\n The problem states John \"plans to sell **all** his toys.\" However, we need to see if he actually sold all of them based on the math. \n If he sold all 13 sets, he would have $35 left. Since he only has $5 left, it implies he didn't sell all of them, or he spent more money.\n Let's re-evaluate: If he sold $x$ sets:\n $15x - 160 = 5$\n $15x = 165$\n $x = 165 / 15$\n $x = 11$\n John sold 11 lego sets.\n\n6. **Calculate the remaining sets:**\n John started with 13 sets and sold 11.\n $13 - 11 = 2$\n\n#### 2", "pred": "2", "gold": "2", "correct": true, "n_new": 472, "stop": "stop", "seconds": 5.967131853103638} {"idx": 38, "text": "To find out how fast John runs, we need to determine his total running time and his total distance.\n\n**Step 1: Determine the running time for each day.**\n* Day 1: John runs for 3 hours.\n* Day 2: He runs half as much as Day 1.\n $3 \\text{ hours} \\div 2 = 1.5 \\text{ hours}$.\n* Day 3: He runs half as much as Day 1 (the problem states he runs half as much on the \"other two days\").\n $3 \\text{ hours} \\div 2 = 1.5 \\text{ hours}$.\n\n**Step 2: Calculate the total running time.**\n* Total time = Day 1 + Day 2 + Day 3\n* Total time = $3 + 1.5 + 1.5 = 6 \\text{ hours}$.\n\n**Step 3: Identify the total distance.**\n* The problem states John runs 60 miles a week.\n\n**Step 4: Calculate the speed.**\n* Speed is calculated as Distance divided by Time.\n* $\\text{Speed} = \\frac{60 \\text{ miles}}{6 \\text{ hours}}$\n* $\\text{Speed} = 10 \\text{ miles per hour}$.\n\n#### 10", "pred": "10", "gold": "10", "correct": true, "n_new": 297, "stop": "stop", "seconds": 3.214022159576416} {"idx": 39, "text": "To solve the problem, we need to determine Dana's speeds for running and walking, and then calculate the total distance covered based on the time spent on each activity.\n\n**Step 1: Determine the speed of running.**\nWe are given that Dana can skip at a rate of 3 miles per hour. We are also told that her skipping speed is half as fast as her running speed.\nLet $R$ be the running speed.\n$\\text{Skipping speed} = \\frac{1}{2} R$\n$3 = \\frac{1}{2} R$\n$R = 3 \\times 2 = 6$ miles per hour.\n\n**Step 2: Determine the speed of walking.**\nWe are told that Dana can run at a rate of speed four times faster than she can walk.\nLet $W$ be the walking speed.\n$R = 4 \\times W$\n$6 = 4 \\times W$\n$W = \\frac{6}{4} = 1.5$ miles per hour.\n\n**Step 3: Determine the time spent on each activity.**\nThe total time is 6 hours.\nTime spent running = $\\frac{1}{3} \\times 6 = 2$ hours.\nTime spent walking = $\\frac{2}{3} \\times 6 = 4$ hours.\n\n**Step 4: Calculate the total distance traveled.**\nDistance = (Speed $\\times$ Time).\nDistance running = $6 \\text{ mph} \\times 2 \\text{ hours} = 12$ miles.\nDistance walking = $1.5 \\text{ mph} \\times 4 \\text{ hours} = 6$ miles.\nTotal distance = $12 + 6 = 18$ miles.\n\n#### 18", "pred": "18", "gold": "18", "correct": true, "n_new": 391, "stop": "stop", "seconds": 4.435317039489746} {"idx": 40, "text": "To find the age of Brandon's iPhone, we can solve the problem step by step based on the information provided:\n\n1. **Identify Suzy's iPhone age:**\n The problem states that Suzy's iPhone is 1 year old.\n *Suzy's iPhone = 1 year*\n\n2. **Calculate Ben's iPhone age:**\n The problem states that Ben's iPhone is two times older than Suzy's iPhone.\n *Ben's iPhone = 2 \u00d7 Suzy's iPhone*\n *Ben's iPhone = 2 \u00d7 1 = 2 years*\n\n3. **Calculate Brandon's iPhone age:**\n The problem states that Brandon's iPhone is four times as old as Ben's iPhone.\n *Brandon's iPhone = 4 \u00d7 Ben's iPhone*\n *Brandon's iPhone = 4 \u00d7 2 = 8 years*\n\n#### 8", "pred": "8", "gold": "8", "correct": true, "n_new": 203, "stop": "stop", "seconds": 2.26547908782959} {"idx": 41, "text": "To solve the problem, we need to determine the distance Polly can throw the javelin while holding the gemstone and then calculate how far she can stand from the dragon's reach.\n\n1. **Identify the dragon's reach:**\n The dragon breathes fire on anything within a distance of 1000 feet. This means any person standing closer than 1000 feet to the dragon is in danger.\n\n2. **Identify Polly's base throwing distance:**\n Polly can throw the gold javelin for a distance of 400 feet when not holding the gemstone.\n\n3. **Calculate Polly's throwing distance with the gemstone:**\n The problem states that when holding the sapphire gemstone, she can throw the javelin three times farther than when not holding it.\n Distance with gemstone = $400 \\text{ feet} \\times 3 = 1200 \\text{ feet}$.\n\n4. **Determine the safe distance:**\n To hit the dragon (who is at a point we can consider 0 feet for the purpose of calculating the throw's reach) while staying outside the dragon's flames (which reach 1000 feet), Polly must stand at a distance $D$ such that:\n - $D > 1000$ feet (to be safe from the fire).\n - $D \\le 1200$ feet (to be able to reach the dragon with the throw).\n\n5. **Calculate the range of \"outside\" distance:**\n The question asks how far *outside* the reach of the dragon's flames she could stand and still hit the dragon. The dragon's reach ends at 1000 feet. Her maximum throw is 1200 feet.\n The distance beyond the flames is the difference between her maximum throw and the limit of the dragon's fire:\n $1200 \\text{ feet} - 1000 \\text{ feet} = 200 \\text{ feet}$.\n\nPolly can stand up to 200 feet beyond the edge of the dragon's flames and still hit the dragon.\n\n#### 200", "pred": "200", "gold": "200", "correct": true, "n_new": 470, "stop": "stop", "seconds": 7.667157173156738} {"idx": 42, "text": "To find out how many pieces of pie were taken by the guests, we can follow these steps:\n\n1. **Calculate the total number of pieces of pie baked:**\n Grandma Jones baked 5 pies, and each pie was cut into 8 pieces.\n Total pieces = $5 \\text{ pies} \\times 8 \\text{ pieces per pie} = 40 \\text{ pieces}$.\n\n2. **Identify the number of pieces remaining:**\n After the luncheon, there were 14 pieces of pie remaining.\n\n3. **Calculate the number of pieces taken:**\n To find the number of pieces taken, subtract the remaining pieces from the total number of pieces.\n Pieces taken = $\\text{Total pieces} - \\text{Remaining pieces}$\n Pieces taken = $40 - 14 = 26$.\n\n#### 26", "pred": "26", "gold": "26", "correct": true, "n_new": 189, "stop": "stop", "seconds": 2.122002601623535} {"idx": 43, "text": "To find out how many grams of chips you can eat, follow these steps:\n\n1. **Calculate the remaining calories:**\n Subtract the calories already consumed from your daily target.\n $2000 \\text{ calories} - 1800 \\text{ calories} = 200 \\text{ calories remaining}$.\n\n2. **Determine the calories per gram of chips:**\n First, find the weight of one serving.\n $300 \\text{g total} \\div 5 \\text{ servings} = 60 \\text{g per serving}$.\n Next, find the calories per gram.\n $250 \\text{ calories} \\div 60 \\text{g} = 4.166... \\text{ calories per gram}$.\n\n3. **Calculate the total grams allowed:**\n Divide the remaining calories by the calories per gram.\n $200 \\text{ calories} \\div (250 \\text{ calories} / 60 \\text{g})$\n Which is the same as:\n $200 \\times (60 / 250)$\n $200 \\times 0.24 = 48 \\text{ grams}$.\n\nAlternatively, you can calculate how many servings you can have:\n$200 \\text{ calories} \\div 250 \\text{ calories per serving} = 0.8 \\text{ servings}$.\n$0.8 \\text{ servings} \\times 60 \\text{g per serving} = 48 \\text{ grams}$.\n\n#### 48", "pred": "48", "gold": "48", "correct": true, "n_new": 358, "stop": "stop", "seconds": 4.268298387527466} {"idx": 44, "text": "To find Charlie's net profit, we need to calculate his total revenue and subtract his total costs.\n\n**Step 1: Determine the amount of beeswax needed.**\nCharlie wants to make and sell 20 candles. Since 1 pound of beeswax makes 10 candles, we divide the total number of candles by the candles per pound:\n$20 \\text{ candles} \\div 10 \\text{ candles/lb} = 2 \\text{ lbs of beeswax}$\n\n**Step 2: Calculate the total cost of supplies.**\nThe cost for 1 pound of beeswax and wicks is $10.00. Since he needs 2 pounds:\n$2 \\text{ lbs} \\times \\$10.00/\\text{lb} = \\$20.00$\n\n**Step 3: Calculate the total revenue.**\nCharlie sells each candle for $2.00. If he sells 20 candles:\n$20 \\text{ candles} \\times \\$2.00/\\text{candle} = \\$40.00$\n\n**Step 4: Calculate the net profit.**\nNet profit is calculated by subtracting the total cost from the total revenue:\n$\\$40.00 (\\text{Revenue}) - \\$20.00 (\\text{Cost}) = \\$20.00$\n\n#### 20", "pred": "20", "gold": "20", "correct": true, "n_new": 295, "stop": "stop", "seconds": 3.2668919563293457} {"idx": 45, "text": "To calculate the total number of hours Meredith spent writing articles, we will find the number of articles written each day and then multiply the total by the time spent per article.\n\n**Step 1: Calculate the number of articles written on Monday.**\nMeredith wrote 5 articles on Monday.\n\n**Step 2: Calculate the number of articles written on Tuesday.**\nShe wrote $2/5$ times *more* articles on Tuesday than on Monday.\nFirst, find $2/5$ of Monday's articles:\n$5 \\times \\frac{2}{5} = 2$\nThen, add this to Monday's total:\n$5 + 2 = 7$ articles on Tuesday.\n\n**Step 3: Calculate the number of articles written on Wednesday.**\nShe wrote twice the number of articles she wrote on Tuesday:\n$7 \\times 2 = 14$ articles on Wednesday.\n\n**Step 4: Calculate the total number of articles written in the three days.**\nTotal articles = Monday + Tuesday + Wednesday\nTotal articles = $5 + 7 + 14 = 26$ articles.\n\n**Step 5: Calculate the total number of hours spent.**\nEach article takes an average of 4 hours to research and write.\nTotal hours = Total articles $\\times$ 4 hours/article\nTotal hours = $26 \\times 4 = 104$ hours.\n\n#### 104", "pred": "104", "gold": "104", "correct": true, "n_new": 309, "stop": "stop", "seconds": 3.5128555297851562} {"idx": 46, "text": "To find the number of Post-it notes in the package Candice purchased, we can follow these steps:\n\n1. **Identify the initial amount:**\n Candice started with 80 Post-it notes in her purse.\n\n2. **Identify the amount used:**\n She placed a single Post-it note on each of 220 cups of coffee. Therefore, she used 220 Post-it notes.\n\n3. **Identify the final amount:**\n After using the notes, she had 23 Post-it notes remaining.\n\n4. **Calculate the total number of Post-it notes she had in total:**\n The total number of notes is the sum of the notes she used and the notes she had left.\n Total = $220 \\text{ (used)} + 23 \\text{ (remaining)} = 243$ notes.\n\n5. **Calculate the number of notes in the package:**\n The total number of notes is also the sum of the notes she started with and the notes she bought in the package.\n Total = $80 \\text{ (initial)} + \\text{Package Size}$\n $243 = 80 + \\text{Package Size}$\n $\\text{Package Size} = 243 - 80$\n $\\text{Package Size} = 163$\n\n**Verification:**\nStarted with 80.\nBought 163.\nTotal = 243.\nUsed 220.\nRemaining = $243 - 220 = 23$.\nThe numbers match the problem description.\n\n#### 163", "pred": "163", "gold": "163", "correct": true, "n_new": 368, "stop": "stop", "seconds": 4.4154052734375} {"idx": 47, "text": "To solve the problem, we will break it down into steps:\n\n**Step 1: Determine the number of blue ties John bought.**\nJohn spent $200 on blue ties, and each blue tie costs $40.\nNumber of blue ties = Total spent on blue ties / Cost per blue tie\nNumber of blue ties = $200 / $40 = 5 ties.\n\n**Step 2: Determine the number of red ties John bought.**\nJohn buys twice as many red ties as blue ties.\nNumber of red ties = 2 * Number of blue ties\nNumber of red ties = 2 * 5 = 10 ties.\n\n**Step 3: Determine the cost of one red tie.**\nRed ties cost 50% more than blue ties. The cost of a blue tie is $40.\nCost of one red tie = Cost of blue tie + (50% of Cost of blue tie)\nCost of one red tie = $40 + (0.50 * $40)\nCost of one red tie = $40 + $20 = $60.\n\n**Step 4: Determine the total amount spent on red ties.**\nJohn bought 10 red ties at $60 each.\nTotal spent on red ties = 10 * $60 = $600.\n\n**Step 5: Determine the total amount spent on all ties.**\nTotal spent = Amount spent on blue ties + Amount spent on red ties\nTotal spent = $200 + $600 = $800.\n\n#### 800", "pred": "800", "gold": "800", "correct": true, "n_new": 345, "stop": "stop", "seconds": 3.6926558017730713} {"idx": 48, "text": "To find the number of pieces Tracy obtained, follow these steps:\n\n1. **Identify the total length of the wire in feet:**\n The wire is 4 feet long.\n\n2. **Identify the length of each piece in inches:**\n Each piece is 6 inches long.\n\n3. **Convert the total length of the wire into inches:**\n Since there are 12 inches in 1 foot:\n $4 \\text{ feet} \\times 12 \\text{ inches/foot} = 48 \\text{ inches}$.\n\n4. **Calculate the number of pieces:**\n Divide the total length in inches by the length of each piece:\n $48 \\text{ inches} \\div 6 \\text{ inches/piece} = 8 \\text{ pieces}$.\n\nTracy obtained 8 pieces of wire.\n\n#### 8", "pred": "8", "gold": "8", "correct": true, "n_new": 190, "stop": "stop", "seconds": 2.0630898475646973} {"idx": 49, "text": "To find the total number of unoccupied units in the building, follow these steps:\n\n1. **Calculate the total number of units in the building:**\n There are 15 floors, and each floor has 8 units.\n $15 \\times 8 = 120$ units.\n\n2. **Determine the fraction of unoccupied units:**\n If $\\frac{3}{4}$ of the building is occupied, then the remaining fraction is unoccupied.\n $1 - \\frac{3}{4} = \\frac{1}{4}$ unoccupied.\n\n3. **Calculate the total number of unoccupied units:**\n Multiply the total number of units by the fraction that is unoccupied.\n $120 \\times \\frac{1}{4} = 30$ units.\n\nAlternatively, you can find the number of occupied units first:\n1. Occupied units: $120 \\times \\frac{3}{4} = 90$.\n2. Unoccupied units: $120 - 90 = 30$.\n\n#### 30", "pred": "30", "gold": "30", "correct": true, "n_new": 238, "stop": "stop", "seconds": 2.6890909671783447} {"idx": 50, "text": "To find out how much Lloyd makes on eggs per week, we can follow these steps:\n\n1. **Calculate the total number of eggs produced per week:**\n Lloyd produces 252 eggs per day. There are 7 days in a week.\n $252 \\text{ eggs/day} \\times 7 \\text{ days/week} = 1,764 \\text{ eggs/week}$\n\n2. **Calculate the number of dozens produced per week:**\n There are 12 eggs in a dozen.\n $1,764 \\text{ eggs} \\div 12 \\text{ eggs/dozen} = 147 \\text{ dozens}$\n\n3. **Calculate the total revenue per week:**\n Lloyd sells each dozen for $2.\n $147 \\text{ dozens} \\times \\$2/\\text{dozen} = \\$294$\n\nAlternatively, you can calculate the daily revenue first:\n1. **Daily dozens:** $252 \\div 12 = 21$ dozens per day.\n2. **Daily revenue:** $21 \\times \\$2 = \\$42$ per day.\n3. **Weekly revenue:** $\\$42 \\times 7 = \\$294$.\n\n#### 294", "pred": "294", "gold": "294", "correct": true, "n_new": 289, "stop": "stop", "seconds": 3.1006157398223877} {"idx": 51, "text": "To find out how long it takes Tom to get back, we need to determine the distance he traveled during the first leg of his journey and then calculate the time it takes to cover that same distance at his return speed.\n\n**Step 1: Determine the duration of the first trip.**\nTom sails from 1 PM to 4 PM.\nDuration = 4 PM - 1 PM = 3 hours.\n\n**Step 2: Calculate the distance traveled.**\nTom's speed during the first trip is 10 miles per hour (mph).\nDistance = Speed \u00d7 Time\nDistance = 10 mph \u00d7 3 hours = 30 miles.\n\n**Step 3: Calculate the time taken to travel back.**\nTom travels the same distance (30 miles) back at a rate of 6 mph.\nTime = Distance \u00f7 Speed\nTime = 30 miles \u00f7 6 mph = 5 hours.\n\n#### 5", "pred": "5", "gold": "5", "correct": true, "n_new": 199, "stop": "stop", "seconds": 2.3776211738586426} {"idx": 52, "text": "To find out how many toys Uriah needs to remove, we can follow these steps:\n\n1. **Calculate the total weight of the comic books being removed:**\n Uriah removes 30 comic books. Each comic book weighs $1/4$ pound.\n Weight of comics = $30 \\times \\frac{1}{4} = \\frac{30}{4} = 7.5$ pounds.\n\n2. **Determine the remaining weight that needs to be removed from the toys:**\n The total weight Uriah needs to remove is 15 pounds. He has already removed 7.5 pounds worth of comics.\n Remaining weight = $15 - 7.5 = 7.5$ pounds.\n\n3. **Calculate the number of toys to remove:**\n Each toy weighs $1/2$ pound. We need to find out how many toys weigh a total of 7.5 pounds.\n Number of toys = $\\text{Remaining weight} \\div \\text{Weight per toy}$\n Number of toys = $7.5 \\div \\frac{1}{2}$\n Number of toys = $7.5 \\times 2 = 15$.\n\nUriah needs to remove 15 toys.\n\n#### 15", "pred": "15", "gold": "15", "correct": true, "n_new": 278, "stop": "stop", "seconds": 3.106409788131714} {"idx": 53, "text": "To find the difference in revenue between the two days, we need to calculate the total revenue earned on Thursday and Friday separately.\n\n**Step 1: Calculate the revenue for Thursday.**\nThe mechanic repaired 6 truck tires and 4 car tires.\n- Revenue from truck tires: $6 \\times \\$60 = \\$360$\n- Revenue from car tires: $4 \\times \\$40 = \\$160$\n- Total revenue for Thursday: $\\$360 + \\$160 = \\$520$\n\n**Step 2: Calculate the revenue for Friday.**\nThe mechanic repaired 12 car tires and 0 truck tires.\n- Revenue from car tires: $12 \\times \\$40 = \\$480$\n- Revenue from truck tires: $0 \\times \\$60 = \\$0$\n- Total revenue for Friday: $\\$480 + \\$0 = \\$480$\n\n**Step 3: Compare the revenues and find the difference.**\n- Thursday's revenue: $520\n- Friday's revenue: $480\nThe day with the higher revenue is Thursday.\n- Difference: $\\$520 - \\$480 = \\$40$\n\nThe mechanic earned $40 more on the day with higher revenue.\n\n#### 40", "pred": "40", "gold": "40", "correct": true, "n_new": 284, "stop": "stop", "seconds": 3.3471691608428955} {"idx": 54, "text": "To find the total number of kittens the Doubtfire family now has, we can follow these steps:\n\n1. **Identify the number of adopted kittens:**\n The sisters are currently driving home with 7 kittens adopted from the shelter.\n * Adopted kittens = 7\n\n2. **Calculate the number of kittens born to Patchy:**\n The mother states that Patchy had thrice (3 times) the number of adopted kittens.\n * Patchy's kittens = 3 \u00d7 7 = 21\n\n3. **Identify the number of kittens born to Trixie:**\n The mother states that Trixie had 12 kittens.\n * Trixie's kittens = 12\n\n4. **Calculate the total number of kittens:**\n Add the adopted kittens, Patchy's kittens, and Trixie's kittens together.\n * Total kittens = 7 (adopted) + 21 (Patchy's) + 12 (Trixie's)\n * 7 + 21 = 28\n * 28 + 12 = 40\n\nThe Doubtfire family now has 40 kittens.\n\n#### 40", "pred": "40", "gold": "40", "correct": true, "n_new": 270, "stop": "stop", "seconds": 3.1551177501678467} {"idx": 55, "text": "To solve the problem, we follow these steps:\n\n1. **Determine the initial number of lollipops:**\n Jean starts with 30 lollipops.\n\n2. **Subtract the lollipops eaten:**\n Jean eats 2 lollipops.\n $30 - 2 = 28$\n Jean has 28 lollipops remaining.\n\n3. **Calculate the number of bags:**\n Jean wants to put 2 lollipops in each bag. To find out how many bags can be filled, divide the remaining lollipops by 2.\n $28 \\div 2 = 14$\n\nJean can fill 14 bags.\n\n#### 14", "pred": "14", "gold": "14", "correct": true, "n_new": 158, "stop": "stop", "seconds": 1.8528077602386475} {"idx": 56, "text": "To find out how many times Peter can go to the movies, we can follow these steps:\n\n1. **Calculate the cost of one movie outing:**\n Peter spends money on a ticket and popcorn each time he goes.\n Cost of ticket = $7\n Cost of popcorn = $7\n Total cost per outing = $7 + $7 = $14\n\n2. **Determine the total amount of money Peter has:**\n Peter has $42 for the week.\n\n3. **Calculate the number of times he can go to the movies:**\n To find the number of outings, divide the total amount of money by the cost per outing.\n Number of outings = Total money / Cost per outing\n Number of outings = $42 / $14\n\n4. **Perform the division:**\n 42 \u00f7 14 = 3\n\nPeter can go to the movies 3 times.\n\n#### 3", "pred": "3", "gold": "3", "correct": true, "n_new": 203, "stop": "stop", "seconds": 2.161637544631958} {"idx": 57, "text": "To find the maximum number of boxes the truck can carry without exceeding the bridge's weight limit, we can follow these steps:\n\n1. **Identify the total weight limit of the bridge:**\n The bridge can carry a maximum of 5000 pounds.\n\n2. **Identify the weight of the truck and driver:**\n The weight of the driver and the empty truck is 3755 pounds.\n\n3. **Calculate the remaining weight capacity for the boxes:**\n Subtract the weight of the truck and driver from the total weight limit.\n $5000 - 3755 = 1245$ pounds.\n The truck can carry a maximum of 1245 pounds of boxes.\n\n4. **Determine the weight of each box:**\n Each box weighs 15 pounds.\n\n5. **Calculate the maximum number of boxes:**\n Divide the remaining weight capacity by the weight of one box.\n $1245 \\div 15$\n\n Performing the division:\n $1245 \\div 15 = ?$\n $15 \\times 80 = 1200$\n $1245 - 1200 = 45$\n $15 \\times 3 = 45$\n $80 + 3 = 83$\n\n So, $1245 \\div 15 = 83$.\n\n6. **Verify the total weight:**\n Weight of truck and driver: 3755 lbs\n Weight of 83 boxes: $83 \\times 15 = 1245$ lbs\n Total weight: $3755 + 1245 = 5000$ lbs.\n Since 5000 pounds is the maximum limit, 83 boxes is the maximum allowed.\n\n#### 83", "pred": "83", "gold": "83", "correct": true, "n_new": 424, "stop": "stop", "seconds": 4.560378313064575} {"idx": 58, "text": "To find the final price of Stephen's groceries, we need to calculate the total cost by adding each fee and tip to the initial bill.\n\n**Step 1: Identify the initial bill.**\nThe initial bill for the groceries is $40.00.\n\n**Step 2: Calculate the 25% vendor fee.**\nThe vendor adds a 25% fee to the final total ($40.00).\n$40.00 \\times 0.25 = 10.00$\nThe vendor fee is $10.00.\n\n**Step 3: Add the vendor fee to the initial bill.**\n$40.00 + 10.00 = 50.00$\n\n**Step 4: Add the delivery fee.**\nThe delivery fee is $3.00.\n$50.00 + 3.00 = 53.00$\n\n**Step 5: Add the tip.**\nStephen added a $4.00 tip.\n$53.00 + 4.00 = 57.00$\n\nThe final price of Stephen's groceries is $57.00.\n\n#### 57.00", "pred": "57", "gold": "57", "correct": true, "n_new": 273, "stop": "stop", "seconds": 2.9642393589019775} {"idx": 59, "text": "To find the total number of raspberries, we can break the problem down into two steps:\n\n1. **Calculate the number of raspberries in the clusters:**\n There are 6 clusters, and each cluster contains 20 fruit.\n $6 \\times 20 = 120$ raspberries.\n\n2. **Add the individual raspberries:**\n There are 120 raspberries in the clusters and 67 individual raspberries scattered across the bush.\n $120 + 67 = 187$ raspberries.\n\nTotal raspberries = 187.\n\n#### 187", "pred": "187", "gold": "187", "correct": true, "n_new": 133, "stop": "stop", "seconds": 1.5378341674804688} {"idx": 60, "text": "To find the number of good oranges in the basket, we need to subtract the number of bad, unripe, and sour oranges from the total number of oranges.\n\n**Step 1: Identify the total number of oranges.**\nTotal oranges = 25\n\n**Step 2: Calculate the number of unripe oranges.**\nThe problem states that 20% of the oranges are unripe.\nNumber of unripe oranges = 20% of 25\nNumber of unripe oranges = 0.20 \u00d7 25 = 5\n\n**Step 3: Identify the number of bad and sour oranges.**\nBad oranges = 1\nSour oranges = 2\n\n**Step 4: Calculate the total number of oranges that are not good.**\nTotal non-good oranges = Bad + Unripe + Sour\nTotal non-good oranges = 1 + 5 + 2 = 8\n\n**Step 5: Calculate the number of good oranges.**\nGood oranges = Total oranges - Total non-good oranges\nGood oranges = 25 - 8 = 17\n\n#### 17", "pred": "17", "gold": "17", "correct": true, "n_new": 232, "stop": "stop", "seconds": 2.4752609729766846} {"idx": 61, "text": "To find the total amount Janet paid, we can break the problem down into three steps:\n\n1. **Calculate the cost of materials and construction:**\n Janet paid $500 for the materials and $800 for the jeweler.\n $500 + $800 = $1,300\n\n2. **Calculate the cost of the insurance:**\n The insurance cost is 10% of the total cost of the materials and construction ($1,300).\n 10% of $1,300 = 0.10 \u00d7 $1,300 = $130\n\n3. **Calculate the total amount paid:**\n Add the insurance cost to the cost of the materials and construction.\n $1,300 + $130 = $1,430\n\n#### 1430", "pred": "1430", "gold": "1430", "correct": true, "n_new": 191, "stop": "stop", "seconds": 2.0062286853790283} {"idx": 62, "text": "To find Marcy's annual pension if she quits after 30 years, we follow these steps:\n\n1. **Identify the target pension amount:**\n The goal is to find the pension for 40 years of service, which is $50,000/year.\n\n2. **Determine the \"base\" pension per year of service:**\n Since the pension is earned over 40 years, we can calculate the value of each year of service:\n $\\text{Value per year} = \\frac{\\$50,000}{40 \\text{ years}} = \\$1,250 \\text{ per year of service.}$\n\n3. **Calculate the pension for 30 years of service:**\n Marcy worked for 30 years. The base pension for 30 years would be:\n $\\text{Base Pension} = 30 \\text{ years} \\times \\$1,250/\\text{year} = \\$37,500.$\n\n4. **Calculate the additional \"bonus\" pension:**\n The problem states that starting after 20 years, she becomes entitled to 5% of the value of the pension per year. \n Since she worked 30 years, she has 10 years (30 - 20) that qualify for this additional 5%.\n \n First, let's find the value of the pension for those specific years:\n $\\text{Value of 10 years} = 10 \\times \\$1,250 = \\$12,500.$\n \n Then, calculate 5% of that value:\n $\\text{Bonus} = 0.05 \\times \\$12,500 = \\$625.$\n\n5. **Calculate the total annual pension:**\n Add the base pension for 30 years to the bonus earned from the years exceeding 20:\n $\\text{Total Pension} = \\$37,500 + \\$625 = \\$38,125.$\n\n*Alternative Interpretation Check:*\nIf the \"5% of the value of the pension per year\" refers to 5% of the *total* pension she would have earned at 30 years for every year past 20:\n$30 \\text{ years}", "pred": "30", "gold": "25000", "correct": false, "n_new": 512, "stop": "length", "seconds": 6.560526371002197} {"idx": 63, "text": "To find the total amount Aleena paid for the streaming service by the end of the year, we can break the calculation down into two halves of the year.\n\n**Step 1: Calculate the cost for the first half of the year.**\nThe streaming service costs $140 per month. There are 6 months in the first half of the year.\n$140 \\times 6 = 840$\nSo, Aleena paid $840 for the first 6 months.\n\n**Step 2: Calculate the discounted monthly rate for the second half of the year.**\nThe company charged her 10% less for the second half of the year. First, find 10% of the original monthly fee:\n$140 \\times 0.10 = 14$\nSubtract this discount from the original monthly fee to find the new monthly rate:\n$140 - 14 = 126$\nThe new monthly rate is $126.\n\n**Step 3: Calculate the cost for the second half of the year.**\nThere are 6 months in the second half of the year.\n$126 \\times 6 = 756$\nSo, Aleena paid $756 for the last 6 months.\n\n**Step 4: Calculate the total amount paid for the year.**\nAdd the costs of the first half and the second half together:\n$840 + 756 = 1596$\n\n#### 1596", "pred": "1596", "gold": "1596", "correct": true, "n_new": 332, "stop": "stop", "seconds": 3.899779796600342} {"idx": 64, "text": "To find out how many miles Sophia can drive on a single tank of gas, we need to determine her car's fuel efficiency (miles per gallon) and then multiply that by the total capacity of the tank.\n\n**Step 1: Calculate the fuel efficiency (miles per gallon).**\nSophia traveled 100 miles and used 4 gallons of gas to refill the tank.\n$$\\text{Fuel Efficiency} = \\frac{\\text{Miles Driven}}{\\text{Gallons Used}}$$\n$$\\text{Fuel Efficiency} = \\frac{100 \\text{ miles}}{4 \\text{ gallons}} = 25 \\text{ miles per gallon (mpg)}$$\n\n**Step 2: Calculate the total distance for a full tank.**\nThe owner's manual states that the tank holds 12 gallons of gas. To find the total distance, we multiply the fuel efficiency by the tank's capacity.\n$$\\text{Total Distance} = \\text{Fuel Efficiency} \\times \\text{Tank Capacity}$$\n$$\\text{Total Distance} = 25 \\text{ mpg} \\times 12 \\text{ gallons}$$\n\n**Step 3: Perform the multiplication.**\n$$25 \\times 12 = 300$$\n\nSophia can drive 300 miles on a single tank of gas.\n\n#### 300", "pred": "300", "gold": "300", "correct": true, "n_new": 287, "stop": "stop", "seconds": 3.3069167137145996} {"idx": 65, "text": "To find the total number of hours Jim spends on TV and reading in 4 weeks, we can follow these steps:\n\n1. **Calculate the time spent reading per session:**\n Jim watches TV for 2 hours. He reads for half as long as he watches TV.\n $\\text{Reading time} = 2 \\text{ hours} \\div 2 = 1 \\text{ hour}$.\n\n2. **Calculate the total time spent per session:**\n Each session consists of watching TV and reading.\n $\\text{Total time per session} = 2 \\text{ hours (TV)} + 1 \\text{ hour (reading)} = 3 \\text{ hours}$.\n\n3. **Calculate the total time spent per week:**\n Jim does this 3 times a week.\n $\\text{Total time per week} = 3 \\text{ hours/session} \\times 3 \\text{ sessions/week} = 9 \\text{ hours}$.\n\n4. **Calculate the total time spent in 4 weeks:**\n $\\text{Total time in 4 weeks} = 9 \\text{ hours/week} \\times 4 \\text{ weeks} = 36 \\text{ hours}$.\n\n#### 36", "pred": "36", "gold": "36", "correct": true, "n_new": 272, "stop": "stop", "seconds": 3.0531022548675537} {"idx": 66, "text": "To find the total number of people sent by the schools, we can break the problem down into the following steps:\n\n1. **Identify the number of schools:**\n There are 4 schools.\n\n2. **Calculate the number of people per school:**\n Each school sends:\n * A girls' basketball team with 5 players.\n * A boys' basketball team with 5 players.\n * A coach for the girls' team (1 coach).\n * A coach for the boys' team (1 coach).\n\n Total people per school = $5 \\text{ (girls)} + 5 \\text{ (boys)} + 1 \\text{ (girls' coach)} + 1 \\text{ (boys' coach)} = 12$ people.\n\n3. **Calculate the total number of people for all schools:**\n Since there are 4 schools and each school sends 12 people:\n Total people = $4 \\text{ schools} \\times 12 \\text{ people per school} = 48$.\n\nAlternatively, you can calculate the total number of players and coaches first:\n* Total players = $4 \\text{ schools} \\times (5 \\text{ girls} + 5 \\text{ boys}) = 4 \\times 10 = 40$.\n* Total coaches = $4 \\text{ schools} \\times (1 \\text{ girls' coach} + 1 \\text{ boys' coach}) = 4 \\times 2 = 8$.\n* Total people = $40 + 8 = 48$.\n\n#### 48", "pred": "48", "gold": "48", "correct": true, "n_new": 359, "stop": "stop", "seconds": 3.954472541809082} {"idx": 67, "text": "To find the total number of gems in the chest, we need to calculate the number of each type of gem step by step.\n\n**Step 1: Find the number of diamonds.**\nThe problem states there are 175 diamonds.\nDiamonds = 175\n\n**Step 2: Find the number of rubies.**\nThe problem states there are 35 fewer rubies than diamonds.\nRubies = Diamonds - 35\nRubies = 175 - 35\nRubies = 140\n\n**Step 3: Find the number of emeralds.**\nThe problem states there are twice as many emeralds as rubies.\nEmeralds = Rubies \u00d7 2\nEmeralds = 140 \u00d7 2\nEmeralds = 280\n\n**Step 4: Find the total number of gems.**\nTo find the total, we add the number of diamonds, rubies, and emeralds together.\nTotal = Diamonds + Rubies + Emeralds\nTotal = 175 + 140 + 280\n\nLet's perform the addition:\n175 + 140 = 315\n315 + 280 = 595\n\nThe total number of gems in the chest is 595.\n\n#### 595", "pred": "595", "gold": "595", "correct": true, "n_new": 289, "stop": "stop", "seconds": 3.0651726722717285} {"idx": 68, "text": "To find the number of teachers at Dr. Wertz's school, we can follow these steps:\n\n1. **Find the number of boys:**\n We are told there are twice as many boys as girls. Since there are 60 girls:\n Number of boys = $60 \\times 2 = 120$\n\n2. **Find the total number of students:**\n The total number of students is the sum of the boys and the girls:\n Total students = $120 \\text{ (boys)} + 60 \\text{ (girls)} = 180$\n\n3. **Find the number of teachers:**\n We are told there are 5 students for every teacher. To find the number of teachers, we divide the total number of students by 5:\n Number of teachers = $180 \\div 5$\n\n4. **Perform the division:**\n $180 \\div 5 = 36$\n\n#### 36", "pred": "36", "gold": "36", "correct": true, "n_new": 221, "stop": "stop", "seconds": 2.476496458053589} {"idx": 69, "text": "To find out how much money Bailey started with, we can follow these steps:\n\n1. **Calculate the total amount of allowance received:**\n Bailey receives $5 each week for 8 weeks.\n Total allowance = $5 \\times 8 = $40.\n\n2. **Set up the equation:**\n Let $x$ be the amount of money Bailey started with.\n The total amount she has at the end is the starting amount plus the total allowance received.\n Equation: $x + 40 = 100$\n\n3. **Solve for $x$:**\n To find $x$, subtract the total allowance from the final amount.\n $x = 100 - 40$\n $x = 60$\n\nBailey started with $60.\n\n#### 60", "pred": "60", "gold": "60", "correct": true, "n_new": 183, "stop": "stop", "seconds": 2.1658620834350586} {"idx": 70, "text": "To find out how much money Judy makes in one week, we need to calculate the total number of classes she teaches, the total number of students, and then multiply by the fee per student.\n\n**Step 1: Calculate the number of classes taught during the weekdays.**\nJudy teaches 5 classes every day on the weekdays (Monday through Friday).\nNumber of weekdays = 5\nClasses per weekday = 5\nTotal weekday classes = $5 \\times 5 = 25$ classes.\n\n**Step 2: Calculate the total number of classes taught in a week.**\nJudy teaches 8 classes on Saturday.\nTotal classes = Weekday classes + Saturday classes\nTotal classes = $25 + 8 = 33$ classes.\n\n**Step 3: Calculate the total number of students per week.**\nEach class has 15 students.\nTotal students = Total classes $\\times$ Students per class\nTotal students = $33 \\times 15$\n$33 \\times 10 = 330$\n$33 \\times 5 = 165$\nTotal students = $330 + 165 = 495$ students.\n\n**Step 4: Calculate the total money earned.**\nShe charges $15.00 per student.\nTotal money = Total students $\\times$ Fee per student\nTotal money = $495 \\times 15$\n$495 \\times 10 = 4950$\n$495 \\times 5 = 2475$\nTotal money = $4950 + 2475 = 7425$\n\nJudy makes $7,425.00 in one week.\n\n#### 7425", "pred": "7425", "gold": "7425", "correct": true, "n_new": 384, "stop": "stop", "seconds": 4.216077089309692} {"idx": 71, "text": "To find the total number of instructions Kelian has to read, we can follow these steps:\n\n1. **Identify the number of instructions in the first recipe:**\n The problem states that the first recipe has 20 instructions.\n\n2. **Calculate the number of instructions in the second recipe:**\n The second recipe has twice as many instructions as the first one.\n $20 \\times 2 = 40$ instructions.\n\n3. **Calculate the total number of instructions for both dishes:**\n Add the instructions from the first recipe to the instructions from the second recipe.\n $20 + 40 = 60$ instructions.\n\nKelian has to read a total of 60 instructions.\n\n#### 60", "pred": "60", "gold": "60", "correct": true, "n_new": 163, "stop": "stop", "seconds": 1.903200387954712} {"idx": 72, "text": "To find the total amount of money Tommy raised, we need to calculate the revenue from the brownies and the revenue from the cheesecakes separately, and then add them together.\n\n**Step 1: Calculate the money raised from brownies.**\nTommy sold 43 brownies at $3 per slice.\n$43 \\times 3 = 129$\nTommy raised $129 from brownies.\n\n**Step 2: Calculate the money raised from cheesecakes.**\nTommy sold 23 slices of cheesecake at $4 per slice.\n$23 \\times 4 = 92$\nTommy raised $92 from cheesecakes.\n\n**Step 3: Calculate the total amount raised.**\nAdd the money from the brownies and the cheesecakes together.\n$129 + 92 = 221$\n\nTommy raised a total of $221.\n\n#### 221", "pred": "221", "gold": "221", "correct": true, "n_new": 198, "stop": "stop", "seconds": 2.1615054607391357} {"idx": 73, "text": "To find out how much Shiela will pay each month, we can follow these steps:\n\n**Step 1: Calculate the total cost of the five cell phones.**\nShiela bought 5 phones at $150 each.\n$5 \\times \\$150 = \\$750$\n\n**Step 2: Calculate the total interest charged.**\nA 2% interest is charged on each unit. First, find the interest per unit:\n$2\\% \\text{ of } \\$150 = 0.02 \\times \\$150 = \\$3$\nSince there are 5 units, the total interest is:\n$5 \\times \\$3 = \\$15$\n\n**Step 3: Calculate the total amount to be paid.**\nAdd the total cost of the phones and the total interest:\n$\\$750 + \\$15 = \\$765$\n\n**Step 4: Calculate the monthly payment.**\nThe total amount is paid over a 3-month installment period. Divide the total amount by 3:\n$\\$765 \\div 3 = \\$255$\n\nShiela will pay $255 each month.\n\n#### 255", "pred": "255", "gold": "255", "correct": true, "n_new": 259, "stop": "stop", "seconds": 2.953450918197632} {"idx": 74, "text": "To find out how much Artie will make, we need to follow these steps:\n\n**Step 1: Determine the rounded prices for each type of flower.**\nArtie rounds all prices to the nearest dollar.\n* **Marigolds:** The original price is $2.74. Since 0.74 is 0.50 or greater, it rounds up to **$3.00**.\n* **Petunias:** The original price is $1.87. Since 0.87 is 0.50 or greater, it rounds up to **$2.00**.\n* **Begonias:** The original price is $2.12. Since 0.12 is less than 0.50, it rounds down to **$2.00**.\n\n**Step 2: Calculate the total revenue for each type of flower based on the rounded prices.**\n* **Marigolds:** Artie sells 12 pots at $3.00 each.\n $12 \\times 3 = 36$\n* **Petunias:** Artie sells 9 pots at $2.00 each.\n $9 \\times 2 = 18$\n* **Begonias:** Artie sells 17 pots at $2.00 each.\n $17 \\times 2 = 34$\n\n**Step 3: Calculate the total amount made.**\nAdd the totals from each flower type together:\n$36 + 18 + 34$\n$36 + 18 = 54$\n$54 + 34 = 88$\n\nArtie will make $88.\n\n#### 88", "pred": "88", "gold": "88", "correct": true, "n_new": 382, "stop": "stop", "seconds": 4.166147708892822} {"idx": 75, "text": "To find the average square footage of a level in Luke's 4-leveled sandcastle, we need to determine the square footage of each level and then calculate their average.\n\n**Step 1: Identify the square footage of each level.**\nWe know there are 4 levels and the top level (Level 1) has a square footage of 16. Each level has half the square footage of the level below it. This means as we move from the top down, the square footage doubles.\n\nLet $L_1$ be the top level, $L_2$ be the second level, $L_3$ be the third level, and $L_4$ be the bottom level.\n\n* **Level 1 (Top):** 16 sq ft\n* **Level 2:** Since Level 1 is half of Level 2, Level 2 is $16 \\times 2 = 32$ sq ft.\n* **Level 3:** Since Level 2 is half of Level 3, Level 3 is $32 \\times 2 = 64$ sq ft.\n* **Level 4 (Bottom):** Since Level 3 is half of Level 4, Level 4 is $64 \\times 2 = 128$ sq ft.\n\n**Step 2: Calculate the total square footage.**\nSum the square footage of all 4 levels:\n$16 + 32 + 64 + 128 = 240$ sq ft.\n\n**Step 3: Calculate the average square footage.**\nDivide the total square footage by the number of levels (4):\n$240 / 4 = 60$ sq ft.\n\n#### 60", "pred": "60", "gold": "60", "correct": true, "n_new": 379, "stop": "stop", "seconds": 4.17583966255188} {"idx": 76, "text": "To find out how many bags of dog food Cecilia will use in the first year, we need to calculate the total number of cups of food consumed in 365 days and then divide that by the number of cups per bag.\n\n**Step 1: Calculate the food consumed during the first 180 days.**\nDuring the first 180 days, the puppy eats 1 cup of food per day.\n$180 \\text{ days} \\times 1 \\text{ cup/day} = 180 \\text{ cups}$\n\n**Step 2: Calculate the food consumed during the remaining days of the first year.**\nA standard year has 365 days. The remaining days after the initial 180 days are:\n$365 \\text{ days} - 180 \\text{ days} = 185 \\text{ days}$\nDuring these 185 days, the puppy eats 2 cups of food per day.\n$185 \\text{ days} \\times 2 \\text{ cups/day} = 370 \\text{ cups}$\n\n**Step 3: Calculate the total cups of food consumed in the first year.**\nTotal cups = Cups from the first 180 days + Cups from the remaining 185 days.\n$180 \\text{ cups} + 370 \\text{ cups} = 550 \\text{ cups}$\n\n**Step 4: Calculate the number of bags needed.**\nEach bag contains 110 cups of food. To find the number of bags, we divide the total cups by the cups per bag:\n$550 \\text{ cups} \\div 110 \\text{ cups/bag} = 5 \\text{ bags}$\n\nCecilia will use 5 bags of dog food in the first year.\n\n#### 5", "pred": "5", "gold": "5", "correct": true, "n_new": 409, "stop": "stop", "seconds": 4.558107376098633} {"idx": 77, "text": "To solve the problem, we will determine the amount of laundry done by each person step by step based on the information provided.\n\n**Step 1: Identify the amount of laundry Sarah does.**\nThe problem states that Sarah does 400 pounds of laundry.\nSarah = 400 pounds.\n\n**Step 2: Calculate the amount of laundry Raymond does.**\nThe problem states that Raymond does half as much laundry as Sarah.\nRaymond = Sarah / 2\nRaymond = 400 / 2\nRaymond = 200 pounds.\n\n**Step 3: Calculate the amount of laundry David does.**\nThe problem states that Sarah does 4 times as much laundry as David. This means David does 1/4 as much as Sarah.\nDavid = Sarah / 4\nDavid = 400 / 4\nDavid = 100 pounds.\n\n**Step 4: Calculate the difference between Raymond's and David's laundry.**\nWe need to find the difference between the amount Raymond does and the amount David does.\nDifference = Raymond - David\nDifference = 200 - 100\nDifference = 100 pounds.\n\n#### 100", "pred": "100", "gold": "100", "correct": true, "n_new": 257, "stop": "stop", "seconds": 2.9959962368011475} {"idx": 78, "text": "To find out how much money Vincent saves, we need to calculate the cost of 18 flowers for both pricing options and then find the difference.\n\n**Step 1: Calculate the cost using the packages of 3.**\n* Number of flowers needed: 18\n* Flowers per package: 3\n* Number of packages needed: $18 \\div 3 = 6$ packages\n* Price per package: $2.50\n* Total cost: $6 \\times \\$2.50 = \\$15.00$\n\n**Step 2: Calculate the cost using the packages of 2.**\n* Number of flowers needed: 18\n* Flowers per package: 2\n* Number of packages needed: $18 \\div 2 = 9$ packages\n* Price per package: $1.00\n* Total cost: $9 \\times \\$1.00 = \\$9.00$\n\n**Step 3: Determine the better price and calculate the savings.**\n* Cost at package of 3: $15.00\n* Cost at package of 2: $9.00\n* The better price is $9.00.\n* Savings: $\\$15.00 - \\$9.00 = \\$6.00$\n\nVincent saves $6.00 by choosing the better price.\n\n#### 6.00", "pred": "6", "gold": "6", "correct": true, "n_new": 316, "stop": "stop", "seconds": 3.618602991104126} {"idx": 79, "text": "To find the final cost of the grooming, follow these steps:\n\n1. **Identify the original price:** The original cost of the grooming is $100.\n2. **Calculate the discount amount:** The discount is 30% of the original price.\n $100 \\times 0.30 = 30$\n The discount amount is $30.\n3. **Subtract the discount from the original price:**\n $100 - 30 = 70$\n\nThe grooming costs $70.\n\n#### 70", "pred": "70", "gold": "70", "correct": true, "n_new": 127, "stop": "stop", "seconds": 1.4891388416290283} {"idx": 80, "text": "To find out how many liters of water were left, we will follow these steps:\n\n1. **Calculate how much water each girl got:**\n There are 24 liters of water in total. Each girl got 1/6 of this amount.\n $24 \\times \\frac{1}{6} = 4$ liters.\n So, each girl got 4 liters.\n\n2. **Calculate the total water taken by the two girls:**\n Since there are two girls:\n $4 \\text{ liters} \\times 2 = 8$ liters.\n\n3. **Calculate the remaining water after the girls took their share:**\n Subtract the girls' share from the total:\n $24 - 8 = 16$ liters.\n\n4. **Calculate the water left after the boy took his share:**\n The boy took 6 liters from the remaining 16 liters:\n $16 - 6 = 10$ liters.\n\n#### 10", "pred": "10", "gold": "10", "correct": true, "n_new": 222, "stop": "stop", "seconds": 2.7289392948150635} {"idx": 81, "text": "To find out how many stickers Charlie has left, we can follow his actions step by step:\n\n1. **Initial amount:** Charlie starts with 10 stickers.\n2. **Bought stickers:** He buys 21 stickers.\n $10 + 21 = 31$ stickers.\n3. **Birthday stickers:** He gets 23 stickers for his birthday.\n $31 + 23 = 54$ stickers.\n4. **Gave to sister:** He gives 9 stickers to his sister.\n $54 - 9 = 45$ stickers.\n5. **Used for card:** He uses 28 stickers to decorate a greeting card.\n $45 - 28 = 17$ stickers.\n\nCharlie has 17 stickers left.\n\n#### 17", "pred": "17", "gold": "17", "correct": true, "n_new": 186, "stop": "stop", "seconds": 2.0616235733032227} {"idx": 82, "text": "To find the combined weights of Grace and Alex, we can follow these steps:\n\n1. **Identify Grace's weight:**\n Grace weighs 125 pounds.\n\n2. **Calculate Alex's weight:**\n Alex weighs 2 pounds less than 4 times what Grace weighs.\n First, calculate 4 times Grace's weight:\n $4 \\times 125 = 500$\n Next, subtract 2 pounds:\n $500 - 2 = 498$\n So, Alex weighs 498 pounds.\n\n3. **Calculate the combined weight:**\n Add Grace's weight and Alex's weight together:\n $125 + 498 = 623$\n\nThe combined weight is 623 pounds.\n\n#### 623", "pred": "623", "gold": "623", "correct": true, "n_new": 188, "stop": "stop", "seconds": 2.1015613079071045} {"idx": 83, "text": "To find the total number of thorns, we can solve the problem step by step:\n\n1. **Find the total number of roses:**\n Dan has 3 rose bushes, and each bush has 25 roses.\n $3 \\times 25 = 75$ roses.\n\n2. **Find the total number of thorns:**\n There are 75 roses in total, and each rose has 8 thorns.\n $75 \\times 8 = ?$\n\n To calculate $75 \\times 8$:\n $70 \\times 8 = 560$\n $5 \\times 8 = 40$\n $560 + 40 = 600$\n\nThere are 600 thorns in total.\n\n#### 600", "pred": "600", "gold": "600", "correct": true, "n_new": 179, "stop": "stop", "seconds": 1.84725022315979} {"idx": 84, "text": "To find out how many games the team won, we can follow these steps:\n\n1. **Identify the variables:**\n Let $W$ be the number of games won.\n Let $L$ be the number of games lost.\n\n2. **Set up the equations based on the problem:**\n * The total number of games played is 22:\n $W + L = 22$\n * They won 8 more games than they lost:\n $W = L + 8$\n\n3. **Substitute the second equation into the first:**\n Replace $W$ in the first equation with $(L + 8)$:\n $(L + 8) + L = 22$\n\n4. **Solve for $L$:**\n Combine the $L$ terms:\n $2L + 8 = 22$\n Subtract 8 from both sides:\n $2L = 14$\n Divide by 2:\n $L = 7$\n\n5. **Solve for $W$:**\n Now that we know they lost 7 games, use the second equation to find the wins:\n $W = 7 + 8$\n $W = 15$\n\n6. **Verify the result:**\n Total games: $15 + 7 = 22$ (Correct)\n Difference: $15 - 7 = 8$ (Correct)\n\nThe team won 15 games.\n\n#### 15", "pred": "15", "gold": "15", "correct": true, "n_new": 339, "stop": "stop", "seconds": 4.396289348602295} {"idx": 85, "text": "To find the total number of quilt blocks, we need to determine how many years Gene has been vacationing and how many shirts he collected each year.\n\n1. **Determine the number of years of vacations:**\n Gene started vacationing when he was 23 and is now 34.\n Number of years = $34 - 23 = 11$ years.\n (Note: Since he has been vacationing *since* he was 23, we count the years starting from age 23 up to his current age of 34. This covers the ages 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, and 33. However, the wording \"since he was 23\" usually implies the duration of time passed. From the start of age 23 to the start of age 34 is 11 years. If he is currently 34 and has completed vacations for that year, it would be 12. Standard interpretation for \"since age X to age Y\" is $Y - X$).\n Let's calculate: $34 - 23 = 11$ years.\n\n2. **Determine the number of shirts per year:**\n The problem states he goes on four vacations a year, and each vacation provides one shirt (one quilt block).\n Shirts per year = 4.\n\n3. **Calculate the total number of quilt blocks:**\n Total blocks = (Number of years) \u00d7 (Shirts per year)\n Total blocks = $11 \\times 4 = 44$.\n\n *Alternative interpretation check:* If \"since he was 23\" includes the year he turned 34 (making it 12 years of vacations): $12 \\times 4 = 48$. However, in math word problems, the difference between the two ages is the standard measure of elapsed time.\n Age 23 (Year 1), 24 (Year 2), 25 (Year 3), 26 (Year 4), 27 (Year 5), 28 (Year 6), 29 (Year 7), 30 (Year 8), 31 (Year 9), 32 (Year", "pred": "32", "gold": "44", "correct": false, "n_new": 512, "stop": "length", "seconds": 6.888584613800049} {"idx": 86, "text": "To find the total number of times the alarm rang, we can calculate the number of rings for each instance step by step:\n\n1. **First time:** The problem states that the alarm rang **4 times**.\n2. **Second time:** The alarm rang for three times as long as the first time.\n Calculation: $4 \\times 3 = 12$ times.\n3. **Third time:** The alarm rang for half as long as the second time.\n Calculation: $12 \\div 2 = 6$ times.\n\nTo find the total number of rings, we add the counts from all three instances:\nTotal = (First time) + (Second time) + (Third time)\nTotal = $4 + 12 + 6$\nTotal = $16 + 6$\nTotal = $22$\n\n#### 22", "pred": "22", "gold": "22", "correct": true, "n_new": 190, "stop": "stop", "seconds": 2.381031036376953} {"idx": 87, "text": "To find Sylvie's annual salary after three more years of service, we follow these steps:\n\n1. **Identify the initial monthly salary:**\n Sylvie's starting monthly salary is $600.\n\n2. **Determine the annual salary after 5 years:**\n Since she just clocked 5 years, she is now eligible for the salary increase. However, the question asks for her salary *after* three more years of service (at the end of year 8).\n\n3. **Calculate the annual increase amount:**\n The policy states the salary increases by 10% of the *initial* salary every year for those who have stayed for five years.\n Initial monthly salary = $600\n Annual increase per year = 10% of $600 = $60.\n\n4. **Determine the monthly salary after 3 more years:**\n Sylvie has completed 5 years and will work 3 more years. The increase starts applying after the 5th year.\n Year 6: $600 + $60 = $660\n Year 7: $660 + $60 = $720\n Year 8: $720 + $60 = $780\n (Alternatively: $600 + (3 \\text{ years} \\times \\$60) = \\$600 + \\$180 = \\$780$).\n\n5. **Calculate the annual salary:**\n The question asks for her *annual* salary after these three years.\n Monthly salary at the end of year 8 = $780.\n Annual salary = $780 \\times 12$ months.\n $780 \\times 10 = 7800$\n $780 \\times 2 = 1560$\n $7800 + 1560 = 9360$.\n\n#### 9360", "pred": "9360", "gold": "9360", "correct": true, "n_new": 437, "stop": "stop", "seconds": 5.848324775695801} {"idx": 88, "text": "To find the number of copies Harald sold, we can follow these steps:\n\n1. **Define the variables:**\n Let $x$ represent the number of copies Harald sold.\n Since Marilyn sold 10 times as many copies as Harald, Marilyn's sales can be represented as $10x$.\n\n2. **Set up the equation:**\n The problem states that their combined sales equal 88,000 copies. Therefore:\n $x + 10x = 88,000$\n\n3. **Simplify the equation:**\n Combine the like terms:\n $11x = 88,000$\n\n4. **Solve for $x$:**\n Divide both sides of the equation by 11:\n $x = \\frac{88,000}{11}$\n $x = 8,000$\n\n5. **Verify the result:**\n If Harald sold 8,000 copies, then Marilyn sold $10 \\times 8,000 = 80,000$ copies.\n The sum is $8,000 + 80,000 = 88,000$, which matches the total given in the problem.\n\n#### 8000", "pred": "8000", "gold": "8000", "correct": true, "n_new": 292, "stop": "stop", "seconds": 3.154784917831421} {"idx": 89, "text": "To find out how much Christina will spend, we can follow these steps:\n\n1. **Determine the number of guests expected to attend:**\n Christina invited 16 friends. Since $1/4$ of the attendees don't show up, we calculate how many don't show up:\n $16 \\times \\frac{1}{4} = 4$ friends.\n The number of friends expected to attend is:\n $16 - 4 = 12$ friends.\n\n2. **Calculate the number of gift bags needed:**\n Christina needs 0.75 gift bags per invited guest. (Note: The problem specifies \"per invited guest,\" which refers to the total number of people she invited, regardless of attendance).\n Number of bags = $16 \\text{ guests} \\times 0.75 \\text{ bags/guest}$\n $16 \\times 0.75 = 12$ gift bags.\n\n *(Alternative interpretation: If the problem implies she needs bags for the guests who actually show up, the calculation would be $12 \\times 0.75 = 9$. However, standard word problem logic usually applies the rate to the base group mentioned. Let's re-read: \"0.75 gift bags per invited guest\". This confirms we use the 16 invited guests.)*\n\n3. **Calculate the total cost:**\n Each gift bag costs $2.\n Total cost = $12 \\text{ bags} \\times \\$2 \\text{ per bag}$\n $12 \\times 2 = 24$\n\n *(Self-Correction/Double Check: If the 0.75 bags per guest was intended to account for the 1/4 no-show rate automatically, then 16 guests $\\times$ 0.75 = 12 bags. If she only needed 1 bag per person who showed up, she would need 12 bags. Both paths lead to 12 bags.)*\n\n4. **Final Calculation:**\n 12 bags $\\times$ $2 = $24.\n\n#### 24", "pred": "24", "gold": "24", "correct": true, "n_new": 467, "stop": "stop", "seconds": 6.27106499671936} {"idx": 90, "text": "To find out how many pounds of potato salad Ted needs to bring, we can follow these steps:\n\n1. **Determine the amount of potato salad an adult eats:**\n An adult dinosaur eats 10 lbs of potato salad.\n\n2. **Determine the amount of potato salad a child eats:**\n A child eats half as much as an adult.\n $10 \\text{ lbs} \\div 2 = 5 \\text{ lbs}$\n\n3. **Calculate the total amount for the adults:**\n There are 20 adults, and each eats 10 lbs.\n $20 \\times 10 \\text{ lbs} = 200 \\text{ lbs}$\n\n4. **Calculate the total amount for the children:**\n There are 5 children, and each eats 5 lbs.\n $5 \\times 5 \\text{ lbs} = 25 \\text{ lbs}$\n\n5. **Calculate the total amount needed:**\n Add the adult total and the child total together.\n $200 \\text{ lbs} + 25 \\text{ lbs} = 225 \\text{ lbs}$\n\nTed needs to bring 225 pounds of potato salad.\n\n#### 225", "pred": "225", "gold": "225", "correct": true, "n_new": 277, "stop": "stop", "seconds": 2.8606503009796143} {"idx": 91, "text": "To find the total number of pets owned by Jan, Marcia, and Cindy, we can solve the problem step by step:\n\n1. **Identify Cindy's pets:**\n The problem states that Cindy has 4 pets.\n * Cindy = 4\n\n2. **Find Marcia's pets:**\n The problem states that Marcia has two more pets than Cindy.\n * Marcia = Cindy + 2\n * Marcia = 4 + 2 = 6\n\n3. **Find Jan's pets:**\n The problem states that Jan has three times the number of pets as Marcia.\n * Jan = 3 \u00d7 Marcia\n * Jan = 3 \u00d7 6 = 18\n\n4. **Calculate the total number of pets:**\n Add the number of pets owned by all three people.\n * Total = Jan + Marcia + Cindy\n * Total = 18 + 6 + 4\n * Total = 28\n\n#### 28", "pred": "28", "gold": "28", "correct": true, "n_new": 226, "stop": "stop", "seconds": 2.520914077758789} {"idx": 92, "text": "To find out how old Jackson is, we can work backward from the information given about James and Corey.\n\n1. **Find Corey's age:**\n We know that James is 10 years old and is 1 year younger than Corey.\n $\\text{Corey} = \\text{James} + 1$\n $\\text{Corey} = 10 + 1 = 11$\n\n2. **Find Amy's age:**\n We know that Amy is 2 years younger than Corey.\n $\\text{Amy} = \\text{Corey} - 2$\n $\\text{Amy} = 11 - 2 = 9$\n\n3. **Find Jackson's age:**\n We know that Amy is 5 years older than Jackson.\n $\\text{Amy} = \\text{Jackson} + 5$\n To find Jackson's age, we subtract 5 from Amy's age:\n $\\text{Jackson} = \\text{Amy} - 5$\n $\\text{Jackson} = 9 - 5 = 4$\n\n#### 4", "pred": "4", "gold": "4", "correct": true, "n_new": 252, "stop": "stop", "seconds": 2.637547492980957} {"idx": 93, "text": "To find out how fast Gerald can run the 400-meter hurdles with his improved diet, we follow these steps:\n\n1. **Determine Lee's original time and Gerald's original time:**\n Lee runs the 400-meter hurdles in 38 seconds.\n The problem states that Lee used to be 2 seconds faster than Gerald.\n Let $G_{old}$ be Gerald's original time.\n Lee's time = $G_{old} - 2$\n $38 = G_{old} - 2$\n $G_{old} = 38 + 2 = 40$ seconds.\n\n2. **Calculate the improvement in Gerald's speed:**\n Gerald's speed improved by 10%. In the context of running times, an improvement in speed means a reduction in the time taken.\n The formula for the new time ($G_{new}$) based on a percentage improvement in speed is derived from the relationship: $\\text{Speed} = \\frac{\\text{Distance}}{\\text{Time}}$.\n If the new speed $S_{new} = 1.10 \\times S_{old}$, then:\n $\\frac{D}{G_{new}} = 1.10 \\times \\frac{D}{G_{old}}$\n $G_{new} = \\frac{G_{old}}{1.10}$\n\n *Note: In many word problems of this type, \"improved his speed by 10%\" is sometimes interpreted as \"reduced his time by 10%\". Let's check both interpretations.*\n \n **Interpretation A (Speed improvement):**\n $G_{new} = \\frac{40}{1.1} \\approx 36.36$ seconds.\n \n **Interpretation B (Time reduction):**\n $G_{new} = 40 - (0.10 \\times 40) = 40 - 4 = 36$ seconds.\n\n Usually, in middle/high school math competitions (where this phrasing often appears), \"improved his speed by 10%\" is intended to mean his time was reduced by 10% of the original time. Let's re-read: \"improved his speed by 10%\". Mathematically, speed is $1/time$. A", "pred": "1", "gold": "36", "correct": false, "n_new": 512, "stop": "length", "seconds": 6.623384237289429} {"idx": 94, "text": "To find the total number of pets in the neighborhood, we can break the problem down into steps:\n\n1. **Find the number of dogs:**\n The problem states that there are 60 dogs.\n Number of dogs = 60\n\n2. **Find the number of cats:**\n The problem states there are two cats for every dog.\n Number of cats = 60 dogs \u00d7 2 = 120\n\n3. **Find the combined number of dogs and cats:**\n Combined number = Number of dogs + Number of cats\n Combined number = 60 + 120 = 180\n\n4. **Find the number of rabbits:**\n The problem states the number of rabbits is twelve less than the combined number of dogs and cats.\n Number of rabbits = 180 - 12 = 168\n\n5. **Find the total number of pets:**\n The total number of pets is the sum of dogs, cats, and rabbits.\n Total pets = Number of dogs + Number of cats + Number of rabbits\n Total pets = 60 + 120 + 168\n Total pets = 180 + 168 = 348\n\n#### 348", "pred": "348", "gold": "348", "correct": true, "n_new": 280, "stop": "stop", "seconds": 2.8464560508728027} {"idx": 95, "text": "To find the number of girls who are not in the Girl Scouts, we can follow these steps:\n\n**Step 1: Find the total number of boys.**\nThe total number of students is 200.\n$\\frac{2}{5}$ of the students are boys.\n$200 \\times \\frac{2}{5} = 40 \\times 2 = 80$ boys.\n\n**Step 2: Find the total number of girls.**\nSubtract the number of boys from the total number of students.\n$200 - 80 = 120$ girls.\n\n**Step 3: Find the number of girls in the Girl Scouts.**\n$\\frac{2}{3}$ of the girls are in the Girl Scouts.\n$120 \\times \\frac{2}{3} = 40 \\times 2 = 80$ girls are in the Girl Scouts.\n\n**Step 4: Find the number of girls not in the Girl Scouts.**\nSubtract the number of girls in the Girl Scouts from the total number of girls.\n$120 - 80 = 40$ girls.\n\nAlternatively, if $\\frac{2}{3}$ of the girls are in the Girl Scouts, then $1 - \\frac{2}{3} = \\frac{1}{3}$ of the girls are not.\n$120 \\times \\frac{1}{3} = 40$ girls.\n\n#### 40", "pred": "40", "gold": "40", "correct": true, "n_new": 320, "stop": "stop", "seconds": 3.157191514968872} {"idx": 96, "text": "To find out how many more hours Harry slept than James, we can follow these steps:\n\n1. **Identify how many hours Harry slept:**\n Harry slept 9 hours.\n\n2. **Calculate how many hours James slept:**\n James slept $2/3$ of the amount Harry slept.\n $\\text{James's sleep} = 9 \\times \\frac{2}{3}$\n $\\text{James's sleep} = \\frac{9 \\times 2}{3}$\n $\\text{James's sleep} = \\frac{18}{3}$\n $\\text{James's sleep} = 6 \\text{ hours}$\n\n3. **Calculate the difference between Harry's and James's sleep:**\n To find how many more hours Harry slept, subtract James's sleep from Harry's sleep.\n $\\text{Difference} = 9 \\text{ hours} - 6 \\text{ hours}$\n $\\text{Difference} = 3 \\text{ hours}$\n\n#### 3", "pred": "3", "gold": "3", "correct": true, "n_new": 229, "stop": "stop", "seconds": 2.371293544769287} {"idx": 97, "text": "To find the number of tomatoes Freda used, we can follow these steps:\n\n1. **Determine the volume of sauce produced per can:**\n Each can of tomatoes is 16 ounces. Since the tomatoes lose half their volume when cooked into sauce, each can produces:\n $16 \\text{ ounces} \\times \\frac{1}{2} = 8 \\text{ ounces of sauce}$.\n\n2. **Determine the number of cans used:**\n Freda made 32 ounces of sauce in total. We divide the total volume of sauce by the volume produced per can:\n $32 \\text{ ounces} \\div 8 \\text{ ounces/can} = 4 \\text{ cans}$.\n\n3. **Determine the total number of tomatoes:**\n Each can contains 3 tomatoes. Since Freda used 4 cans, we multiply the number of cans by the number of tomatoes per can:\n $4 \\text{ cans} \\times 3 \\text{ tomatoes/can} = 12 \\text{ tomatoes}$.\n\n#### 12", "pred": "12", "gold": "12", "correct": true, "n_new": 234, "stop": "stop", "seconds": 2.635087251663208} {"idx": 98, "text": "To find the number of cars that drove through the traffic jam in the first 15 minutes, we can follow these steps:\n\n1. **Identify the total number of cars that drove through the jam:**\n We know there were originally 30 cars on the motorway. However, 5 cars took an exit and did not drive through the jam.\n Total cars that drove through = Total cars - Cars that took the exit\n Total cars that drove through = $30 - 5 = 25$ cars.\n\n2. **Identify the number of cars that drove through in the second 15 minutes:**\n The problem states that 20 cars drove through in the remaining 15 minutes of the jam.\n\n3. **Calculate the number of cars that drove through in the first 15 minutes:**\n The total number of cars that drove through is the sum of those that drove through in the first 15 minutes and those that drove through in the second 15 minutes.\n Total cars that drove through = (Cars in first 15 mins) + (Cars in second 15 mins)\n $25 = (\\text{Cars in first 15 mins}) + 20$\n\n4. **Solve for the first 15 minutes:**\n Cars in first 15 mins = $25 - 20$\n Cars in first 15 mins = 5\n\n#### 5", "pred": "5", "gold": "5", "correct": true, "n_new": 312, "stop": "stop", "seconds": 3.67372727394104} {"idx": 99, "text": "To find out how many potted plants Mary will remain with, we can follow these steps:\n\n1. **Calculate the initial number of plants on the ledges:**\n Mary has 40 window ledges, and each ledge has 2 potted plants.\n $40 \\text{ ledges} \\times 2 \\text{ plants/ledge} = 80 \\text{ plants}$.\n\n2. **Add the new plants received:**\n Mary received 18 new potted plants yesterday.\n $80 \\text{ plants} + 18 \\text{ plants} = 98 \\text{ plants}$.\n\n3. **Calculate the number of plants she will give away:**\n She plans to give 1 potted plant from each of the 40 ledges to friends and family.\n $40 \\text{ ledges} \\times 1 \\text{ plant/ledge} = 40 \\text{ plants}$.\n\n4. **Calculate the final number of plants remaining:**\n Subtract the plants she gives away from her total number of plants.\n $98 \\text{ plants} - 40 \\text{ plants} = 58 \\text{ plants}$.\n\n#### 58", "pred": "58", "gold": "58", "correct": true, "n_new": 268, "stop": "stop", "seconds": 3.057051420211792}