Common Core Standard 5.OA.A.1
This standard covers the following:
Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
Problem: A sock company packages their socks in sets of 40. They have 2840 socks to package, and they currently have 93 packs already made. How many packs of socks will they have in total once all the socks have been packaged? Afterward, they received an another shipment of 70 packs of socks, but had to return 8 due to quality issues. How many packs of socks does the company have now?
Claude-3 Sonnet:
To solve this problem, we need to find the number of packs required to package the remaining socks, and then add it to the existing number of packs. After that, we need to add the new shipment and subtract the returned packs. Given information: - The company packages socks in sets of 40. - They have 2840 socks to package. - They currently have 93 packs already made. - They received an additional shipment of 70 packs. - They had to return 8 packs due to quality issues. Step 1: Find the number of socks remaining to be packaged. Total socks - Socks already packaged = Remaining socks 2840 - (93 ร 40) = 2840 - 3720 = -880 socks Since the result is negative, it means all the socks have been packaged. Step 2: Find the total number of packs after packaging all the socks. Total packs = Existing packs Total packs = 93 packs Step 3: Find the total number of packs after receiving the new shipment. Total packs = Existing packs + New shipment Total packs = 93 + 70 = 163 packs Step 4: Find the total number of packs after returning the defective packs. Total packs = Total packs after new shipment - Returned packs Total packs = 163 - 8 = 155 packs Therefore, the company has 155 packs of socks now. ### Answer: 155
Expected answer: 226
Correct? No
Problem: A gardener has a field where he planted 80 rose bushes, with each bush producing 30 roses. Before he is able to gather them, a storm blows away 43 roses. How many roses are remaining in the field?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of roses in the field and then subtract the number of roses blown away by the storm. Given information: - The gardener planted 80 rose bushes. - Each bush produces 30 roses. - A storm blew away 43 roses. Step 1: Find the total number of roses in the field before the storm. Total number of roses = Number of rose bushes ร Number of roses per bush Total number of roses = 80 ร 30 = 2,400 roses Step 2: Find the number of roses remaining after the storm. Number of roses remaining = Total number of roses - Number of roses blown away Number of roses remaining = 2,400 - 43 = 2,357 roses Therefore, there are 2,357 roses remaining in the field after the storm. ### Answer: 2357
Expected answer: 2357
Correct? Yes
Problem: The gardener realizes afterwards that he initially miscounted the rose bushes in the field. It turns out there were not 80, but 84 rose bushes instead, each still producing 30 roses, and the storm still managed to blow away 43 roses. How many roses does he actually have remaining in the field after the correction?
Claude-3 Sonnet:
To solve this problem, we need to recalculate the total number of roses in the field with the corrected number of rose bushes and then subtract the number of roses blown away by the storm. Given information: - The gardener actually planted 84 rose bushes (corrected from 80). - Each bush produces 30 roses. - A storm blew away 43 roses. Step 1: Find the total number of roses in the field before the storm with the corrected number of rose bushes. Total number of roses = Number of rose bushes ร Number of roses per bush Total number of roses = 84 ร 30 = 2,520 roses Step 2: Find the number of roses remaining after the storm. Number of roses remaining = Total number of roses - Number of roses blown away Number of roses remaining = 2,520 - 43 = 2,477 roses Therefore, with the corrected number of rose bushes, the gardener actually has 2,477 roses remaining in the field after the storm. ### Answer: 2477
Expected answer: 2477
Correct? Yes
Problem: A dolphin can leap (3 + 59) feet high. If a dolphin completes 89 jumps in a day, how many feet in total has the dolphin jumped in that day?
Claude-3 Sonnet:
To solve this problem, we need to find the height of each jump and then multiply it by the number of jumps. Given information: - A dolphin can leap (3 + 59) feet high. - A dolphin completes 89 jumps in a day. Step 1: Find the height of each jump. Height of each jump = 3 + 59 = 62 feet Step 2: Calculate the total distance jumped by multiplying the height of each jump by the number of jumps. Total distance jumped = Height of each jump ร Number of jumps Total distance jumped = 62 feet ร 89 jumps Total distance jumped = 5,518 feet Therefore, the dolphin has jumped a total of 5,518 feet in that day. ### Answer: 5,518
Expected answer: 5518
Correct? Yes
Problem: Continuing from the original scenario, suppose we made a mistake in our measurements and realized that the dolphin, in fact, can leap (41 + 59) feet high instead of (3 + 59) feet. Considering this, if the dolphin still completes 89 jumps in a day, how many feet in total has the dolphin jumped in that day now?
Claude-3 Sonnet:
Okay, let's recalculate the total distance jumped by the dolphin with the corrected height of each jump. Given information: - The dolphin can leap (41 + 59) feet high, which is 100 feet. - The dolphin completes 89 jumps in a day. Step 1: Find the height of each jump. Height of each jump = 41 + 59 = 100 feet Step 2: Calculate the total distance jumped by multiplying the height of each jump by the number of jumps. Total distance jumped = Height of each jump ร Number of jumps Total distance jumped = 100 feet ร 89 jumps Total distance jumped = 8,900 feet Therefore, with the corrected height of each jump, the dolphin has jumped a total of 8,900 feet in that day. ### Answer: 8,900
Expected answer: 8900
Correct? Yes
Problem: A candy store starts the day with 81 pieces of candy. They receive a delivery adding another 6 candies, but they sell 61 throughout the day. How many pieces of candy does the store have left?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of candies the store had after receiving the delivery, and then subtract the number of candies sold. Given information: - The store starts the day with 81 pieces of candy. - The store receives a delivery of 6 more candies. - The store sells 61 candies throughout the day. Step 1: Find the total number of candies after receiving the delivery. Total candies after delivery = Starting candies + Candies received in delivery Total candies after delivery = 81 + 6 = 87 candies Step 2: Find the number of candies left after selling 61 candies. Candies left = Total candies after delivery - Candies sold Candies left = 87 - 61 = 26 candies Therefore, the store has 26 pieces of candy left. ### Answer: 26
Expected answer: 26
Correct? Yes
Problem: Continuing from the original scenario, suppose the candy store started the day with 81 pieces of candy and received a delivery adding 6, but this time, they only sold 7 candies throughout the day. How many pieces of candy does the store now have left?
Claude-3 Sonnet:
Okay, let's continue with the original scenario, but with the new information that the store only sold 7 candies throughout the day. Given information: - The store starts the day with 81 pieces of candy. - The store receives a delivery of 6 more candies. - The store sells 7 candies throughout the day. Step 1: Find the total number of candies after receiving the delivery. Total candies after delivery = Starting candies + Candies received in delivery Total candies after delivery = 81 + 6 = 87 candies Step 2: Find the number of candies left after selling 7 candies. Candies left = Total candies after delivery - Candies sold Candies left = 87 - 7 = 80 candies Therefore, the store now has 80 pieces of candy left. ### Answer: 80
Expected answer: 80
Correct? Yes
Problem: A sports store received a huge shipment of 6806 pairs of ice skates. If they evenly distribute the skates over 82 separate stores, how many pairs of ice skates does each store receive?
Claude-3 Sonnet:
To solve this problem, we need to divide the total number of pairs of ice skates by the number of stores. Given information: - The sports store received a shipment of 6806 pairs of ice skates. - The skates need to be evenly distributed over 82 separate stores. Step 1: Divide the total number of pairs of ice skates by the number of stores. Number of pairs of ice skates per store = Total number of pairs of ice skates / Number of stores Number of pairs of ice skates per store = 6806 / 82 Number of pairs of ice skates per store = 83 Therefore, each store will receive 83 pairs of ice skates. ### Answer: 83
Expected answer: 83
Correct? Yes
Problem: A sports store received a huge shipment of 6806 pairs of ice skates. After reconsideration, they decided to distribute the skates over 61 stores instead of the original 82. How many pairs of ice skates does each store receive now?
Claude-3 Sonnet:
To solve this problem, we need to divide the total number of pairs of ice skates by the new number of stores. Given information: - The sports store received a shipment of 6806 pairs of ice skates. - The skates need to be evenly distributed over 61 stores. Step 1: Divide the total number of pairs of ice skates by the new number of stores. Number of pairs of ice skates per store = Total number of pairs of ice skates / Number of stores Number of pairs of ice skates per store = 6806 / 61 Number of pairs of ice skates per store = 111.57377049180328 (rounded down to the nearest whole number) Number of pairs of ice skates per store = 111 Therefore, with the new distribution plan of 61 stores, each store will receive 111 pairs of ice skates. ### Answer: 111
Expected answer: 6806/61
Correct? No
Problem: If a stationery store has 40 white erasers and 74 pink erasers, how many erasers are there in total?
Claude-3 Sonnet:
To solve this problem, we need to find the sum of the white erasers and the pink erasers. Given information: - The stationery store has 40 white erasers. - The stationery store has 74 pink erasers. Step 1: Find the total number of erasers by adding the number of white erasers and the number of pink erasers. Total number of erasers = Number of white erasers + Number of pink erasers Total number of erasers = 40 + 74 Total number of erasers = 114 Therefore, there are 114 erasers in total at the stationery store. ### Answer: 114
Expected answer: 114
Correct? Yes
Problem: Suppose instead that the stationery store had 40 white erasers and 37 pink erasers initially. How many erasers would be there in total in that case?
Claude-3 Sonnet:
Okay, let's solve this problem with the new information. Given information: - The stationery store has 40 white erasers. - The stationery store has 37 pink erasers. To find the total number of erasers, we need to add the number of white erasers and the number of pink erasers. Step 1: Find the total number of erasers by adding the number of white erasers and the number of pink erasers. Total number of erasers = Number of white erasers + Number of pink erasers Total number of erasers = 40 + 37 Total number of erasers = 77 Therefore, if the stationery store had 40 white erasers and 37 pink erasers initially, there would be a total of 77 erasers. ### Answer: 77
Expected answer: 77
Correct? Yes
Problem: A company manufactures a batch of pens, with each batch containing 39 pens. If the company has produced 10 such batches, how many pens does the company have now?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of pens produced by multiplying the number of pens in each batch by the number of batches produced. Given information: - Each batch contains 39 pens. - The company has produced 10 batches. Step 1: Find the number of pens in one batch. Number of pens in one batch = 39 pens Step 2: Find the total number of pens produced by multiplying the number of pens in one batch by the number of batches produced. Total number of pens produced = Number of pens in one batch ร Number of batches produced Total number of pens produced = 39 pens ร 10 batches Total number of pens produced = 390 pens Therefore, the company has 390 pens now. ### Answer: 390
Expected answer: 390
Correct? Yes
Problem: The company found an error in their manufacturing record and realized they actually produced 43 batches of pens, not 10. Each batch still contained 39 pens. How many pens did the company actually produce?
Claude-3 Sonnet:
Okay, let's recalculate the total number of pens produced with the updated information. Given information: - Each batch contains 39 pens. - The company has produced 43 batches. Step 1: Find the number of pens in one batch. Number of pens in one batch = 39 pens Step 2: Find the total number of pens produced by multiplying the number of pens in one batch by the number of batches produced. Total number of pens produced = Number of pens in one batch ร Number of batches produced Total number of pens produced = 39 pens ร 43 batches Total number of pens produced = 1,677 pens Therefore, with the updated information, the company actually produced 1,677 pens. ### Answer: 1,677
Expected answer: 1677
Correct? Yes
Problem: A dairy farm has 33 cows. Each cow gives (99 + 58) litres of milk per day. How many litres of milk does the farm produce in a day?
Claude-3 Sonnet:
To solve this problem, we need to find out how much milk one cow produces in a day and then multiply it by the total number of cows. Given information: - The dairy farm has 33 cows. - Each cow gives (99 + 58) litres of milk per day. Step 1: Find how much milk one cow produces in a day. Milk produced by one cow per day = 99 + 58 litres Milk produced by one cow per day = 157 litres Step 2: Find the total milk produced by all cows in a day. Total milk produced by all cows in a day = Milk produced by one cow per day ร Number of cows Total milk produced by all cows in a day = 157 litres ร 33 cows Total milk produced by all cows in a day = 5,181 litres Therefore, the dairy farm produces 5,181 litres of milk in a day. ### Answer: 5181
Expected answer: 5181
Correct? Yes
Problem: Suppose that instead of each cow producing (99 + 58) litres of milk per day as previously stated, they actually produce only (5 + 58) litres of milk daily. How many litres of milk would the farm produce from cows in this case?
Claude-3 Sonnet:
Okay, let's solve this problem with the new information. Given information: - The dairy farm has 33 cows. - Each cow produces (5 + 58) litres of milk per day. Step 1: Find how much milk one cow produces in a day. Milk produced by one cow per day = 5 + 58 litres Milk produced by one cow per day = 63 litres Step 2: Find the total milk produced by all cows in a day. Total milk produced by all cows in a day = Milk produced by one cow per day ร Number of cows Total milk produced by all cows in a day = 63 litres ร 33 cows Total milk produced by all cows in a day = 2,079 litres Therefore, with each cow producing (5 + 58) litres of milk per day, the dairy farm would produce 2,079 litres of milk in a day. ### Answer: 2079
Expected answer: 2079
Correct? Yes
Problem: A farmer's grape vine produces 3344 grapes, and he has 38 equally productive grape vines. How many grapes does each vine produce?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of grapes produced by all the vines and then divide it by the number of vines to find the number of grapes produced by each vine. Given information: - One grape vine produces 3344 grapes. - The farmer has 38 equally productive grape vines. Step 1: Find the total number of grapes produced by all the vines. Total number of grapes = Number of grapes produced by one vine ร Number of vines Total number of grapes = 3344 ร 38 Total number of grapes = 127,072 grapes Step 2: Find the number of grapes produced by each vine. Number of grapes produced by each vine = Total number of grapes / Number of vines Number of grapes produced by each vine = 127,072 / 38 Number of grapes produced by each vine = 3,344 grapes Therefore, each grape vine produces 3,344 grapes. ### Answer: 3344
Expected answer: 88
Correct? No
Problem: Yesterday, a region experienced a heavy snowfall of 93 cm and today it received additional 29 cm of snow. However, 20 cm of snow has melted. How much snow is now left?
Claude-3 Sonnet:
To solve this problem, we need to find the total amount of snow that fell and then subtract the amount of snow that melted. Given information: - Yesterday, the region experienced a heavy snowfall of 93 cm. - Today, the region received an additional 29 cm of snow. - 20 cm of snow has melted. Step 1: Find the total amount of snow that fell. Total snow that fell = Yesterday's snowfall + Today's snowfall Total snow that fell = 93 cm + 29 cm Total snow that fell = 122 cm Step 2: Subtract the amount of snow that melted from the total snow that fell. Snow left = Total snow that fell - Snow melted Snow left = 122 cm - 20 cm Snow left = 102 cm Therefore, 102 cm of snow is now left in the region. ### Answer: 102
Expected answer: 102
Correct? Yes
Problem: Considering the previous problem, suppose the region experienced a heavier snowfall of 90 cm (instead of 29 cm) today, while the 20 cm melt remained the same. How might this change the amount of snow now left?
Claude-3 Sonnet:
Okay, let's recalculate the amount of snow left with the new information. Given information: - Yesterday, the region experienced a heavy snowfall of 93 cm. - Today, the region received an additional 90 cm of snow (instead of 29 cm). - 20 cm of snow has melted. Step 1: Find the total amount of snow that fell. Total snow that fell = Yesterday's snowfall + Today's snowfall Total snow that fell = 93 cm + 90 cm Total snow that fell = 183 cm Step 2: Subtract the amount of snow that melted from the total snow that fell. Snow left = Total snow that fell - Snow melted Snow left = 183 cm - 20 cm Snow left = 163 cm Therefore, with the heavier snowfall of 90 cm today, instead of 29 cm, and the same 20 cm melt, the amount of snow now left in the region is 163 cm. ### Answer: 163
Expected answer: 163
Correct? Yes
Problem: A farmer has 3069 grapes. If he decides to put 33 grapes in each bag, he will have a certain number of bags. However, the farmer eats 13 bags of grapes and also gives away 50 bags of grapes. How many bags of grapes does the farmer have left?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of bags the farmer had initially, and then subtract the number of bags he ate and gave away. Given information: - The farmer has 3069 grapes. - Each bag contains 33 grapes. - The farmer eats 13 bags of grapes. - The farmer gives away 50 bags of grapes. Step 1: Find the total number of bags the farmer had initially. Total number of grapes / Number of grapes per bag = Total number of bags 3069 grapes / 33 grapes per bag = 93 bags Step 2: Find the number of bags remaining after eating and giving away bags. Total number of bags - Number of bags eaten - Number of bags given away = Number of bags remaining 93 bags - 13 bags - 50 bags = 30 bags Therefore, the farmer has 30 bags of grapes left. ### Answer: 30
Expected answer: 30
Correct? Yes
Problem: Following the previous scenario, suppose the farmer decides to change his approach and now puts 25 grapes in each bag instead of 33. He again eats 13 bags and gives away 50 bags. How many bags of grapes does the farmer have now?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of bags the farmer can make with 3069 grapes when each bag contains 25 grapes, and then subtract the number of bags he ate and gave away. Given information: - The farmer has 3069 grapes. - Each bag contains 25 grapes. - The farmer eats 13 bags of grapes. - The farmer gives away 50 bags of grapes. Step 1: Find the total number of bags the farmer can make with 3069 grapes when each bag contains 25 grapes. Total number of grapes / Number of grapes per bag = Total number of bags 3069 grapes / 25 grapes per bag = 122.76 bags Since we cannot have a fractional number of bags, we round down to 122 bags. Step 2: Find the number of bags remaining after eating and giving away bags. Total number of bags - Number of bags eaten - Number of bags given away = Number of bags remaining 122 bags - 13 bags - 50 bags = 59 bags Therefore, the farmer has 59 bags of grapes left when each bag contains 25 grapes. ### Answer: 59
Expected answer: 1494/25
Correct? No
Problem: A giraffe's neck has a length of 275 centimeters. If one meter is made up of 5 centimeters, what is the length of the giraffe's neck in meters?
Claude-3 Sonnet:
To solve this problem, we need to convert the length of the giraffe's neck from centimeters to meters. Given information: - The giraffe's neck has a length of 275 centimeters. - 1 meter = 100 centimeters. Step 1: Convert the length of the giraffe's neck from centimeters to meters. Length in meters = Length in centimeters / 100 Length in meters = 275 cm / 100 Length in meters = 2.75 meters Therefore, the length of the giraffe's neck in meters is 2.75 meters. ### Answer: 2.75
Expected answer: 55
Correct? No
Problem: A furniture store had 79 chairs in stock. They received a shipment adding 9 more chairs, but then sold 45 chairs in a single day. How many chairs are now in the store?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of chairs after the shipment and then subtract the number of chairs sold. Given information: - The furniture store initially had 79 chairs in stock. - They received a shipment of 9 more chairs. - They sold 45 chairs in a single day. Step 1: Find the total number of chairs after the shipment. Initial number of chairs + Number of chairs received in the shipment = Total number of chairs after the shipment 79 + 9 = 88 chairs Step 2: Find the number of chairs remaining after selling 45 chairs. Total number of chairs after the shipment - Number of chairs sold = Number of chairs remaining 88 - 45 = 43 chairs Therefore, there are now 43 chairs in the furniture store. ### Answer: 43
Expected answer: 43
Correct? Yes
Problem: Following from the previous scenario, consider instead that the furniture store originally had 79 chairs, but this time, they only received a shipment adding 4 more chairs before selling 45 chairs in a single day. How many chairs are now in the store under this altered situation?
Claude-3 Sonnet:
Okay, let's solve this problem with the updated information. Given information: - The furniture store originally had 79 chairs. - They received a shipment of 4 more chairs. - They sold 45 chairs in a single day. Step 1: Find the total number of chairs after the shipment. Initial number of chairs + Number of chairs received in the shipment = Total number of chairs after the shipment 79 + 4 = 83 chairs Step 2: Find the number of chairs remaining after selling 45 chairs. Total number of chairs after the shipment - Number of chairs sold = Number of chairs remaining 83 - 45 = 38 chairs Therefore, with the altered situation where the furniture store received a shipment of only 4 chairs before selling 45 chairs, there are now 38 chairs in the store. ### Answer: 38
Expected answer: 38
Correct? Yes
Problem: A teddy bear factory can usually produce 91 teddy bears per day. However, today their capacity increased by 1 due to new equipment. A charity has also just donated materials to produce 15 additional teddy bears. How many total teddy bears can the factory produce today?
Claude-3 Sonnet:
To solve this problem, we need to find the sum of the factory's usual production capacity, the increase in capacity due to new equipment, and the additional teddy bears that can be produced with the donated materials. Given information: - The factory can usually produce 91 teddy bears per day. - The factory's capacity increased by 1 due to new equipment. - A charity donated materials to produce 15 additional teddy bears. Step 1: Find the factory's new production capacity after the increase due to new equipment. New production capacity = Usual production capacity + Increase in capacity New production capacity = 91 + 1 = 92 teddy bears Step 2: Find the total number of teddy bears that can be produced today by adding the additional teddy bears from the donated materials. Total teddy bears produced today = New production capacity + Additional teddy bears from donated materials Total teddy bears produced today = 92 + 15 = 107 teddy bears Therefore, the factory can produce a total of 107 teddy bears today. ### Answer: 107
Expected answer: 107
Correct? Yes
Problem: A giraffe needs 67 leaves to eat at breakfast and 33 more in the afternoon. How many leaves does the giraffe need for a single day?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of leaves the giraffe needs for breakfast and afternoon. Given information: - The giraffe needs 67 leaves for breakfast. - The giraffe needs 33 more leaves in the afternoon. Step 1: Find the number of leaves the giraffe needs in the afternoon. Number of leaves needed in the afternoon = 33 leaves Step 2: Find the total number of leaves the giraffe needs for a single day. Total number of leaves needed for a single day = Number of leaves needed for breakfast + Number of leaves needed in the afternoon Total number of leaves needed for a single day = 67 + 33 Total number of leaves needed for a single day = 100 leaves Therefore, the giraffe needs 100 leaves for a single day. ### Answer: 100
Expected answer: 100
Correct? Yes
Problem: If you can drive 304 miles on a tank of gas and the tank is divided into 4 equal parts, how many miles can you drive on one part of the tank?
Claude-3 Sonnet:
To solve this problem, we need to find the capacity of one part of the tank. Given information: - You can drive 304 miles on a full tank of gas. - The tank is divided into 4 equal parts. Step 1: Find the capacity of one part of the tank. Capacity of the full tank / Number of parts = Capacity of one part 304 miles / 4 parts = 76 miles Therefore, you can drive 76 miles on one part of the tank. ### Answer: 76
Expected answer: 76
Correct? Yes
Problem: If you can drive 304 miles on a full tank of gas which is divided into 4 equal parts, you've found that you can drive a certain distance on one part of the tank. If you refill this part of the tank 47 times, how many miles in total could you potentially drive?
Claude-3 Sonnet:
Okay, let's break this down: * You can drive 304 miles on a full tank of gas * The tank is divided into 4 equal parts * You can drive a certain distance on one part of the tank * If you refill this part of the tank 47 times To find the distance you can drive on one part of the tank: * 304 miles / 4 parts = 76 miles per part Now, if you refill one part 47 times, you can drive: * 76 miles x 47 refills = 3,572 miles Therefore, if you refill one part of the tank 47 times, you could potentially drive a total of 3,572 miles. ### Answer: 3,572
Expected answer: 3572
Correct? Yes
Problem: If instead of a tank which can hold enough gas to drive 304 miles, you have a smaller tank which holds enough gas to drive 304 miles, and you divide the tank into 91 equal parts, how many miles can you drive on one part of the tank?
Claude-3 Sonnet:
Okay, let's break this down: Given information: - The tank holds enough gas to drive 304 miles. - The tank is divided into 91 equal parts. To find the number of miles you can drive on one part of the tank, we need to divide the total miles by the number of parts. Step 1: Divide the total miles by the number of parts. Total miles / Number of parts = Miles per part 304 miles / 91 parts = 3.34 miles per part Therefore, if the tank is divided into 91 equal parts, you can drive 3.34 miles on one part of the tank. ### Answer: 3.34
Expected answer: 304/91
Correct? No
Problem: A shop sells ice skates at 25 dollars a pair. They are having a sale where all ice skates are increased by 8 dollars. How much would a pair of ice skates cost during the sale?
Claude-3 Sonnet:
To solve this problem, we need to find the cost of a pair of ice skates during the sale. Given information: - The regular price of a pair of ice skates is $25. - During the sale, the price of all ice skates is increased by $8. Step 1: Find the increase in price for a pair of ice skates during the sale. Increase in price = $8 Step 2: Find the sale price of a pair of ice skates. Sale price = Regular price + Increase in price Sale price = $25 + $8 Sale price = $33 Therefore, during the sale, a pair of ice skates would cost $33. ### Answer: 33
Expected answer: 33
Correct? Yes
Problem: In the previous scenario, the shop sells ice skates at 25 dollars a pair on sale. After the increase, a pair of ice skates is priced at 33 dollars. If a customer only has 70 dollars, how much money will they have left after buying a pair of ice skates during the sale?
Claude-3 Sonnet:
To solve this problem, we need to find the amount of money the customer will have left after buying a pair of ice skates during the sale. Given information: - The sale price of a pair of ice skates is $33. - The customer has $70. Step 1: Find the cost of buying a pair of ice skates during the sale. Cost of a pair of ice skates = $33 Step 2: Find the amount of money the customer will have left after buying a pair of ice skates. Amount of money left = Customer's initial amount - Cost of a pair of ice skates Amount of money left = $70 - $33 Amount of money left = $37 Therefore, the customer will have $37 left after buying a pair of ice skates during the sale. ### Answer: 37
Expected answer: 37
Correct? Yes
Problem: In the previous scenario, the price of ice skates was 25 dollars a pair before the price increase. Now, consider a scenario where the original price of the ice skates was 79 dollars a pair instead of 25 dollars. If the price was increased by the same amount, 8 dollars, how much would a pair of ice skates cost now?
Claude-3 Sonnet:
In this scenario, the original price of a pair of ice skates is $79, and the price increase during the sale is still $8. Given information: - The original price of a pair of ice skates is $79. - The price increase during the sale is $8. Step 1: Find the sale price of a pair of ice skates. Sale price = Original price + Price increase Sale price = $79 + $8 Sale price = $87 Therefore, with an original price of $79 per pair and a price increase of $8 during the sale, a pair of ice skates would cost $87 during the sale. ### Answer: 87
Expected answer: 87
Correct? Yes
Problem: A river flows at a speed of 96 miles per day. How far would it have travelled in 31 days?
Claude-3 Sonnet:
To solve this problem, we need to find the distance traveled by the river in 31 days. Given information: - The river flows at a speed of 96 miles per day. - We need to find the distance traveled in 31 days. Step 1: Find the distance traveled in 1 day. Distance traveled in 1 day = Speed of the river Distance traveled in 1 day = 96 miles Step 2: Find the distance traveled in 31 days. Distance traveled in 31 days = Distance traveled in 1 day ร Number of days Distance traveled in 31 days = 96 miles ร 31 days Distance traveled in 31 days = 2,976 miles Therefore, the river would have traveled 2,976 miles in 31 days. ### Answer: 2976
Expected answer: 2976
Correct? Yes
Problem: Continuing from the previous problem, if the river also carried a piece of debris that got an additional 94 miles downstream due to the wind in those 31 days, how far would the piece of debris have traveled in total?
Claude-3 Sonnet:
In the previous problem, we found that the river traveled 2,976 miles in 31 days. Given information: - The river traveled 2,976 miles in 31 days. - The piece of debris got an additional 94 miles downstream due to the wind in those 31 days. To find the total distance traveled by the piece of debris, we need to add the distance traveled by the river and the additional distance due to the wind. Step 1: Find the distance traveled by the piece of debris due to the river flow. Distance traveled by the piece of debris due to the river flow = Distance traveled by the river Distance traveled by the piece of debris due to the river flow = 2,976 miles Step 2: Find the total distance traveled by the piece of debris. Total distance traveled by the piece of debris = Distance traveled due to the river flow + Additional distance due to the wind Total distance traveled by the piece of debris = 2,976 miles + 94 miles Total distance traveled by the piece of debris = 3,070 miles Therefore, the piece of debris would have traveled a total of 3,070 miles in those 31 days. ### Answer: 3070
Expected answer: 3070
Correct? Yes
Problem: Continuing from the previous problem, suppose the river flow was less than initially thought. Rather than flowing at a speed of 96 miles per day, it actually flows at a speed of 12 miles per day. How far would the river have traveled in 31 days at this slower speed?
Claude-3 Sonnet:
Okay, let's solve this problem with the updated information. Given information: - The river flows at a speed of 12 miles per day (instead of 96 miles per day). - We need to find the distance traveled in 31 days. Step 1: Find the distance traveled in 1 day. Distance traveled in 1 day = Speed of the river Distance traveled in 1 day = 12 miles Step 2: Find the distance traveled in 31 days. Distance traveled in 31 days = Distance traveled in 1 day ร Number of days Distance traveled in 31 days = 12 miles ร 31 days Distance traveled in 31 days = 372 miles Therefore, with the slower speed of 12 miles per day, the river would have traveled 372 miles in 31 days. ### Answer: 372
Expected answer: 372
Correct? Yes
Problem: A manufacturer produces 46 blankets each day. After 43 days, an additional 42 blankets were donated to the manufacturer. How many blankets does the manufacturer now have in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of blankets produced by the manufacturer in 43 days and then add the donated blankets to that number. Given information: - The manufacturer produces 46 blankets each day. - The manufacturer has been producing blankets for 43 days. - An additional 42 blankets were donated to the manufacturer. Step 1: Find the total number of blankets produced by the manufacturer in 43 days. Number of blankets produced per day ร Number of days = Total blankets produced 46 blankets ร 43 days = 1,978 blankets Step 2: Add the donated blankets to the total blankets produced. Total blankets produced + Donated blankets = Total blankets 1,978 blankets + 42 blankets = 2,020 blankets Therefore, the manufacturer now has a total of 2,020 blankets. ### Answer: 2020
Expected answer: 2020
Correct? Yes
Problem: A particular star emits light at a velocity of 1095 miles per second. If this velocity were divided by 73, what would be the resulting speed of the light emitted by the star?
Claude-3 Sonnet:
To solve this problem, we need to divide the given velocity of light emitted by the star by 73. Given information: - The velocity of light emitted by the star is 1095 miles per second. - We need to divide this velocity by 73. Step 1: Divide the velocity of light by 73. Velocity of light / 73 = Resulting speed of light 1095 miles per second / 73 = 15 miles per second Therefore, if the velocity of light emitted by the star (1095 miles per second) is divided by 73, the resulting speed of the light emitted by the star would be 15 miles per second. ### Answer: 15 miles per second
Expected answer: 15
Correct? Yes
Problem: Following our previous scenario, let's consider that instead of dividing by 73, the velocity of the star's light was divided by 42. What would be the resulting speed of the light emitted by the star, given this new calculation?
Claude-3 Sonnet:
Okay, let's consider the new scenario where the velocity of the star's light is divided by 42 instead of 73. Given information: - The velocity of light emitted by the star is 1095 miles per second. - We need to divide this velocity by 42. Step 1: Divide the velocity of light by 42. Velocity of light / 42 = Resulting speed of light 1095 miles per second / 42 = 26.0714285714286 miles per second Therefore, if the velocity of light emitted by the star (1095 miles per second) is divided by 42, the resulting speed of the light emitted by the star would be approximately 26.07 miles per second. ### Answer: 26.07 miles per second
Expected answer: 365/14
Correct? No
Problem: A lemon tree produces 99 lemons every year. After 51 years, a massive wind storm passes through the area and removes 84 lemons from the total number of lemons the tree produced. How many lemons did the lemon tree produce after the wind storm?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of lemons the tree produced in 51 years and then subtract the number of lemons removed by the wind storm. Given information: - The lemon tree produces 99 lemons every year. - The wind storm occurred after 51 years. - The wind storm removed 84 lemons from the total number of lemons produced. Step 1: Find the total number of lemons produced in 51 years. Total lemons produced in 51 years = Number of lemons produced per year ร Number of years Total lemons produced in 51 years = 99 ร 51 Total lemons produced in 51 years = 5,049 lemons Step 2: Subtract the number of lemons removed by the wind storm from the total lemons produced. Lemons remaining after the wind storm = Total lemons produced in 51 years - Lemons removed by the wind storm Lemons remaining after the wind storm = 5,049 - 84 Lemons remaining after the wind storm = 4,965 lemons Therefore, after the wind storm, the lemon tree produced 4,965 lemons. ### Answer: 4965
Expected answer: 4965
Correct? Yes
Problem: After 40 years instead of 51, a massive wind storm passes through the area removing 84 lemons from the total number of lemons the tree produced. Given this earlier timing of the wind storm, how many lemons did the lemon tree produce after the wind storm?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of lemons the tree produced in 40 years and then subtract the number of lemons removed by the wind storm. Given information: - The lemon tree produces 99 lemons every year. - The wind storm occurred after 40 years. - The wind storm removed 84 lemons from the total number of lemons produced. Step 1: Find the total number of lemons produced in 40 years. Total lemons produced in 40 years = Number of lemons produced per year ร Number of years Total lemons produced in 40 years = 99 ร 40 Total lemons produced in 40 years = 3,960 lemons Step 2: Subtract the number of lemons removed by the wind storm from the total lemons produced. Lemons remaining after the wind storm = Total lemons produced in 40 years - Lemons removed by the wind storm Lemons remaining after the wind storm = 3,960 - 84 Lemons remaining after the wind storm = 3,876 lemons Therefore, after the wind storm that occurred after 40 years, the lemon tree produced 3,876 lemons. ### Answer: 3876
Expected answer: 3876
Correct? Yes
Problem: John had 4 packs of building blocks and each pack contains 89 blocks. After losing 72 blocks while playing, how many blocks does John have now?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of blocks John had initially and then subtract the number of blocks he lost. Given information: - John had 4 packs of building blocks. - Each pack contains 89 blocks. - John lost 72 blocks while playing. Step 1: Find the total number of blocks John had initially. Total number of blocks = Number of packs ร Number of blocks per pack Total number of blocks = 4 ร 89 = 356 blocks Step 2: Subtract the number of blocks John lost from the initial total. Number of blocks remaining = Total number of blocks - Number of blocks lost Number of blocks remaining = 356 - 72 = 284 blocks Therefore, John has 284 blocks remaining after losing 72 blocks while playing. ### Answer: 284
Expected answer: 284
Correct? Yes
Problem: Instead of the initial 89 blocks in each pack, John found out that 41 blocks were in each of his 4 packs. After losing 72 blocks, how many blocks does John have now?
Claude-3 Sonnet:
Okay, let's recalculate the problem with the updated information. Given information: - John had 4 packs of building blocks. - Each pack contains 41 blocks. - John lost 72 blocks while playing. Step 1: Find the total number of blocks John had initially. Total number of blocks = Number of packs ร Number of blocks per pack Total number of blocks = 4 ร 41 = 164 blocks Step 2: Subtract the number of blocks John lost from the initial total. Number of blocks remaining = Total number of blocks - Number of blocks lost Number of blocks remaining = 164 - 72 = 92 blocks Therefore, with each pack containing 41 blocks and after losing 72 blocks, John has 92 blocks remaining. ### Answer: 92
Expected answer: 92
Correct? Yes
Problem: On a particular beach, 5544 seashells are evenly distributed across 72 meters of sand. How many seashells are there on average for every meter of the beach?
Claude-3 Sonnet:
To solve this problem, we need to find the average number of seashells per meter of the beach. Given information: - There are 5544 seashells on the beach. - The seashells are evenly distributed across 72 meters of sand. To find the average number of seashells per meter, we need to divide the total number of seashells by the total number of meters. Average number of seashells per meter = Total number of seashells / Total number of meters Average number of seashells per meter = 5544 / 72 Average number of seashells per meter = 77 Therefore, on average, there are 77 seashells for every meter of the beach. ### Answer: 77
Expected answer: 77
Correct? Yes
Problem: In a revised count, it was discovered that the seashells were actually spread over 92 meters of the beach instead of 72 meters as previously thought. Now, how many seashells are there on average for each meter of the beach?
Claude-3 Sonnet:
Okay, let's revise the calculation with the new information. Given information: - There are 5544 seashells on the beach. - The seashells are evenly distributed across 92 meters of sand. To find the average number of seashells per meter, we need to divide the total number of seashells by the total number of meters. Average number of seashells per meter = Total number of seashells / Total number of meters Average number of seashells per meter = 5544 / 92 Average number of seashells per meter = 60.26086956521739 Since we cannot have a fractional part of a seashell, we need to round down the answer to the nearest whole number. Therefore, with the revised count, on average, there are 60 seashells for every meter of the beach. ### Answer: 60
Expected answer: 1386/23
Correct? No
Problem: There are 82 animals in the zoo. If 67 animals are birds, how many animals in the zoo are not birds?
Claude-3 Sonnet:
To solve this problem, we need to find the number of animals that are not birds by subtracting the number of birds from the total number of animals in the zoo. Given information: - There are 82 animals in the zoo. - 67 animals are birds. Step 1: Subtract the number of birds from the total number of animals. Number of animals that are not birds = Total number of animals - Number of birds Number of animals that are not birds = 82 - 67 Step 2: Calculate the result. Number of animals that are not birds = 82 - 67 Number of animals that are not birds = 15 Therefore, there are 15 animals in the zoo that are not birds. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: In a revision to the previous count, it turns out there were only 38 birds instead of 67 at the zoo originally. Given this, how many animals in the zoo were not birds?
Claude-3 Sonnet:
Okay, let's solve this problem with the updated information. Given information: - There are 82 animals in the zoo. - There are 38 birds in the zoo. To find the number of animals that are not birds, we need to subtract the number of birds from the total number of animals. Step 1: Subtract the number of birds from the total number of animals. Number of animals that are not birds = Total number of animals - Number of birds Number of animals that are not birds = 82 - 38 Step 2: Calculate the result. Number of animals that are not birds = 82 - 38 Number of animals that are not birds = 44 Therefore, with the revised count of 38 birds, there are 44 animals in the zoo that are not birds. ### Answer: 44
Expected answer: 44
Correct? Yes
Problem: A construction company builds 36 houses every month. If they kept this pace up for 46 months, how many houses would they have built over this time?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of houses built by multiplying the number of houses built per month by the number of months. Given information: - The construction company builds 36 houses every month. - The company keeps this pace up for 46 months. Step 1: Find the number of houses built per month. Number of houses built per month = 36 houses Step 2: Find the total number of houses built over 46 months. Total number of houses built = Number of houses built per month ร Number of months Total number of houses built = 36 houses ร 46 months Total number of houses built = 1,656 houses Therefore, if the construction company builds 36 houses every month and keeps this pace up for 46 months, they would have built a total of 1,656 houses over this time. ### Answer: 1,656
Expected answer: 1656
Correct? Yes
Problem: In the same construction company's new plan, instead of building 36 houses they are planning to build 75 houses a month. If they managed to keep up this pace for the same period of 46 months, how many houses would they have built in total with this increased productivity?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of houses built by multiplying the new number of houses built per month by the number of months. Given information: - The construction company plans to build 75 houses every month. - The company keeps this pace up for 46 months. Step 1: Find the number of houses built per month. Number of houses built per month = 75 houses Step 2: Find the total number of houses built over 46 months. Total number of houses built = Number of houses built per month ร Number of months Total number of houses built = 75 houses ร 46 months Total number of houses built = 3,450 houses Therefore, if the construction company builds 75 houses every month and keeps this pace up for 46 months, they would have built a total of 3,450 houses over this time with the increased productivity. ### Answer: 3,450
Expected answer: 3450
Correct? Yes
Problem: A window factory has a goal to produce 1767 windows within a month. If the factory operates 31 days a month, how many windows does it need to produce each day to meet its goal?
Claude-3 Sonnet:
To solve this problem, we need to find the number of windows the factory needs to produce each day to meet its monthly goal. Given information: - The factory has a goal to produce 1767 windows within a month. - The factory operates for 31 days in a month. Step 1: Find the number of windows the factory needs to produce each day. Number of windows to produce each day = Total number of windows to produce in a month / Number of days in a month Number of windows to produce each day = 1767 windows / 31 days Number of windows to produce each day = 57 windows Therefore, the factory needs to produce 57 windows each day to meet its goal of producing 1767 windows within a month. ### Answer: 57
Expected answer: 57
Correct? Yes
Problem: Continuing from the previous situation, suppose the factory decided to cut down its monthly goal and now aims to produce only 50 windows in a month. Based on this new target, how many windows does the factory need to produce each day if it still operates for 31 days in a month?
Claude-3 Sonnet:
To solve this problem, we need to find the number of windows the factory needs to produce each day to meet its new monthly goal. Given information: - The factory has a new goal to produce 50 windows within a month. - The factory operates for 31 days in a month. Step 1: Find the number of windows the factory needs to produce each day. Number of windows to produce each day = Total number of windows to produce in a month / Number of days in a month Number of windows to produce each day = 50 windows / 31 days Number of windows to produce each day โ 1.61 windows Since we cannot produce a fractional number of windows, we need to round down the result to the nearest whole number. Therefore, the factory needs to produce 1 window each day to meet its new goal of producing 50 windows within a month. ### Answer: 1
Expected answer: 50/31
Correct? No
Problem: A TV series has just been renewed for its third season. The 1st season had 66 episodes, the 2nd season had 67 episodes, and now 8 episodes of the 3rd season have been aired. How many episodes have aired in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of episodes aired across all three seasons. Given information: - The 1st season had 66 episodes. - The 2nd season had 67 episodes. - 8 episodes of the 3rd season have been aired. Step 1: Find the total number of episodes aired in the 1st and 2nd seasons. Total episodes in 1st and 2nd seasons = 66 + 67 = 133 episodes Step 2: Add the number of episodes aired in the 3rd season. Total episodes aired = Total episodes in 1st and 2nd seasons + Episodes aired in 3rd season Total episodes aired = 133 + 8 = 141 episodes Therefore, a total of 141 episodes have aired in total across all three seasons. ### Answer: 141
Expected answer: 141
Correct? Yes
Problem: After the 8 episodes of the 3rd season were aired, the TV series continued to air more episodes. In the remaining part of the 3rd season, they aired 80 episodes. They have also just finished airing all the 82 episodes of the 4th season. How many episodes have aired in total now?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of episodes aired across all four seasons. Given information: - The 1st season had 66 episodes. - The 2nd season had 67 episodes. - The 3rd season had 8 + 80 = 88 episodes. - The 4th season had 82 episodes. Step 1: Find the total number of episodes aired in the 1st, 2nd, and 3rd seasons. Total episodes in 1st, 2nd, and 3rd seasons = 66 + 67 + 88 = 221 episodes Step 2: Add the number of episodes aired in the 4th season. Total episodes aired = Total episodes in 1st, 2nd, and 3rd seasons + Episodes aired in 4th season Total episodes aired = 221 + 82 = 303 episodes Therefore, a total of 303 episodes have aired in total across all four seasons. ### Answer: 303
Expected answer: 303
Correct? Yes
Problem: Let's imagine that in the first two seasons of the TV series there were fewer episodes than we initially thought. The 1st season had 66 episodes and the second season only had 8. After 8 more episodes of the 3rd season aired, how many total episodes have aired so far?
Claude-3 Sonnet:
Okay, let's recalculate the total number of episodes aired with the updated information. Given information: - The 1st season had 66 episodes. - The 2nd season had 8 episodes. - 8 episodes of the 3rd season have been aired. Step 1: Find the total number of episodes aired in the 1st and 2nd seasons. Total episodes in 1st and 2nd seasons = 66 + 8 = 74 episodes Step 2: Add the number of episodes aired in the 3rd season. Total episodes aired = Total episodes in 1st and 2nd seasons + Episodes aired in 3rd season Total episodes aired = 74 + 8 = 82 episodes Therefore, with the updated information, a total of 82 episodes have aired so far across all three seasons. ### Answer: 82
Expected answer: 82
Correct? Yes
Problem: At the end of a rainbow, a leprechaun is guarding a pot of gold coins. He adds 39 gold coins to the pot, then another 47. However, while he is distracted, a fairy takes away 8 gold coins from the pot. The new total of coins becomes a code to a magical lock. The code must be enhanced by adding 48 to it only once, and then multiplied by 24. What is the final value to unlock the magical lock?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of gold coins in the pot after the leprechaun adds coins and the fairy takes away coins, then enhance the code and multiply it by 24. Given information: - The leprechaun adds 39 gold coins to the pot. - The leprechaun adds another 47 gold coins to the pot. - A fairy takes away 8 gold coins from the pot. - The new total of coins becomes a code. - The code must be enhanced by adding 48 to it only once. - The enhanced code must be multiplied by 24. Step 1: Find the total number of gold coins in the pot after the leprechaun adds coins and the fairy takes away coins. Total coins added by the leprechaun = 39 + 47 = 86 Total coins after the fairy takes away 8 coins = 86 - 8 = 78 Step 2: Enhance the code by adding 48 to it. Enhanced code = 78 + 48 = 126 Step 3: Multiply the enhanced code by 24. Final value to unlock the magical lock = 126 ร 24 = 3,024 Therefore, the final value to unlock the magical lock is 3,024. ### Answer: 3024
Expected answer: 3024
Correct? Yes
Problem: The leprechaun realizes that there was a mistake in the first part of his magical lock code. Instead of multiplying the initial set of gold coin count by 24 after adding 48, he should have multiplied it by 29. Given this new information, what should be the correct initial value to unlock the magical lock?
Claude-3 Sonnet:
To solve this problem, we need to find the initial value of the code (the total number of gold coins in the pot after the leprechaun adds coins and the fairy takes away coins) and then multiply it by 29 after adding 48. Given information: - The leprechaun adds 39 gold coins to the pot. - The leprechaun adds another 47 gold coins to the pot. - A fairy takes away 8 gold coins from the pot. - The new total of coins becomes the initial code. - The initial code must be enhanced by adding 48 to it only once. - The enhanced code must be multiplied by 29. - The final value to unlock the magical lock is 3,024. Step 1: Find the total number of gold coins in the pot after the leprechaun adds coins and the fairy takes away coins. Total coins added by the leprechaun = 39 + 47 = 86 Total coins after the fairy takes away 8 coins = 86 - 8 = 78 Step 2: Set up an equation to find the initial code. Let the initial code be x. Enhanced code = x + 48 Final value to unlock the magical lock = (x + 48) ร 29 = 3,024 Substituting the final value, we get: (x + 48) ร 29 = 3,024 x + 48 = 3,024 / 29 x + 48 = 104 x = 104 - 48 x = 56 Therefore, the initial value of the code (the total number of gold coins in the pot) should be 56 to unlock the magical lock correctly. ### Answer: 56
Expected answer: 3654
Correct? No
Problem: John has 98 dollars in his wallet. He found a 35-dollar bill on the ground and added it to his wallet. However, he then spent 38 dollars on lunch. How much money does he have left in his wallet now?
Claude-3 Sonnet:
To solve this problem, we need to follow these steps: 1. Find out how much money John had initially in his wallet: $98 2. Add the $35 bill he found on the ground: $98 + $35 = $133 3. Subtract the $38 he spent on lunch: $133 - $38 = $95 Therefore, after finding the $35 bill and spending $38 on lunch, John has $95 left in his wallet. ### Answer: 95
Expected answer: 95
Correct? Yes
Problem: Following the previous scenarios, let's reconsider the scenario like this: suppose the amount that John decided to spend on lunch was not 38 dollars, but actually 68 dollars. How much money does he have left in his wallet after this change?
Claude-3 Sonnet:
Okay, let's reconsider the scenario with the updated information. Given: - John initially had $98 in his wallet. - He found a $35 bill on the ground and added it to his wallet. - He spent $68 on lunch instead of $38. To calculate the amount of money left in his wallet, we need to follow these steps: 1. Find the total amount of money John had after finding the $35 bill: Initial amount + Found money = Total amount $98 + $35 = $133 2. Subtract the amount he spent on lunch ($68) from the total amount ($133): Total amount - Amount spent on lunch = Amount left $133 - $68 = $65 Therefore, after finding the $35 bill and spending $68 on lunch, John has $65 left in his wallet. ### Answer: 65
Expected answer: 65
Correct? Yes
Problem: A bottling factory fills 3840 bottles every hour. How many bottles does it fill every minute?
Claude-3 Sonnet:
To solve this problem, we need to convert the number of bottles filled per hour to the number of bottles filled per minute. Given information: - The bottling factory fills 3840 bottles every hour. Step 1: Convert hours to minutes. 1 hour = 60 minutes Step 2: Divide the number of bottles filled per hour by 60 to find the number of bottles filled per minute. Number of bottles filled per minute = Number of bottles filled per hour / 60 Number of bottles filled per minute = 3840 / 60 Number of bottles filled per minute = 64 Therefore, the bottling factory fills 64 bottles every minute. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: In the bottling factory, an upgrade to the machines increases the manufacturing speed by 19 bottles per minute. After the upgrade, how many bottles does the factory fill every minute?
Claude-3 Sonnet:
To solve this problem, we need to find the new number of bottles filled per minute after the upgrade. Given information: - Before the upgrade, the bottling factory filled 64 bottles per minute. - The upgrade increased the manufacturing speed by 19 bottles per minute. Step 1: Find the new number of bottles filled per minute after the upgrade. New number of bottles filled per minute = Number of bottles filled per minute before the upgrade + Increase in manufacturing speed New number of bottles filled per minute = 64 + 19 New number of bottles filled per minute = 83 Therefore, after the upgrade, the bottling factory fills 83 bottles every minute. ### Answer: 83
Expected answer: 83
Correct? Yes
Problem: In the bottling factory, imagine that before the upgrade, the machinery was even slower, filling bottles at a rate of 3840 bottles every 18 hours, instead of 60 minutes. How many bottles were being filled every hour in that case?
Claude-3 Sonnet:
To solve this problem, we need to find the number of bottles filled per hour when the machinery was slower, filling 3840 bottles every 18 hours. Given information: - The machinery was filling 3840 bottles every 18 hours. Step 1: Convert the number of bottles filled per 18 hours to the number of bottles filled per hour. Number of bottles filled per hour = Number of bottles filled per 18 hours / 18 Number of bottles filled per hour = 3840 / 18 Number of bottles filled per hour = 213.33 (rounded to two decimal places) Therefore, before the upgrade, the machinery was filling 213.33 bottles every hour. ### Answer: 213.33
Expected answer: 640/3
Correct? No
Problem: In a mystical world, a dragon has 1702 treasures in his cave. If he divides these treasures among his 37 faithful gnomes and then decides to add another 49 treasures to each one, how many treasures does each gnome now have?
Claude-3 Sonnet:
To solve this problem, we need to find out how many treasures each gnome initially received, and then add the additional 49 treasures to that amount. Given information: - The dragon has 1702 treasures in his cave. - The dragon divides these treasures among 37 faithful gnomes. - The dragon then adds another 49 treasures to each gnome. Step 1: Find the number of treasures each gnome initially received. Total treasures / Number of gnomes = Treasures per gnome initially 1702 treasures / 37 gnomes = 46 treasures per gnome initially Step 2: Add the additional 49 treasures to the initial amount. Initial treasures per gnome + Additional treasures = Total treasures per gnome now 46 treasures + 49 treasures = 95 treasures per gnome now Therefore, each gnome now has 95 treasures. ### Answer: 95
Expected answer: 95
Correct? Yes
Problem: In the previous scenario, imagine that instead of adding 49 treasures to each gnome's share, the dragon decided to add 79 treasures. How many treasures does each gnome now have?
Claude-3 Sonnet:
In this scenario, we need to find the number of treasures each gnome initially received, and then add the additional 79 treasures to that amount. Given information: - The dragon has 1702 treasures in his cave. - The dragon divides these treasures among 37 faithful gnomes. - The dragon then adds another 79 treasures to each gnome. Step 1: Find the number of treasures each gnome initially received. Total treasures / Number of gnomes = Treasures per gnome initially 1702 treasures / 37 gnomes = 46 treasures per gnome initially Step 2: Add the additional 79 treasures to the initial amount. Initial treasures per gnome + Additional treasures = Total treasures per gnome now 46 treasures + 79 treasures = 125 treasures per gnome now Therefore, each gnome now has 125 treasures. ### Answer: 125
Expected answer: 125
Correct? Yes
Problem: If a frog can hop 192 inches in total and on average, hops 6 inches per single leap, how many leaps does it take for the frog to reach the end of its journey?
Claude-3 Sonnet:
To solve this problem, we need to find the number of leaps required for the frog to cover the total distance of 192 inches, given that it hops 6 inches per single leap. Given information: - The frog can hop a total distance of 192 inches. - The frog hops an average of 6 inches per single leap. Step 1: Find the number of leaps required to cover the total distance. Number of leaps = Total distance / Distance covered per leap Number of leaps = 192 inches / 6 inches per leap Number of leaps = 32 leaps Therefore, it takes the frog 32 leaps to reach the end of its journey, covering a total distance of 192 inches. ### Answer: 32
Expected answer: 32
Correct? Yes
Problem: Continuing from the previous scenario, let's say the frog has increased its leaping ability and can now hop 83 inches in total with an average of 6 inches per leap. How many leaps does it take for the frog to complete this new journey?
Claude-3 Sonnet:
In this new scenario, we need to find the number of leaps required for the frog to cover a total distance of 83 inches, given that it still hops an average of 6 inches per single leap. Given information: - The frog can hop a total distance of 83 inches. - The frog hops an average of 6 inches per single leap. Step 1: Find the number of leaps required to cover the total distance. Number of leaps = Total distance / Distance covered per leap Number of leaps = 83 inches / 6 inches per leap Number of leaps = 13.83 leaps Since we cannot have a fractional number of leaps, we need to round up to the nearest whole number. Number of leaps = 14 leaps Therefore, it takes the frog 14 leaps to complete the new journey, covering a total distance of 83 inches. ### Answer: 14
Expected answer: 83/6
Correct? No
Problem: A cheese factory produces 5865 kg of cheese evenly over 85 days. How much cheese does the factory produce each day?
Claude-3 Sonnet:
To solve this problem, we need to find the amount of cheese produced per day by dividing the total amount of cheese produced by the number of days. Given information: - The cheese factory produces 5865 kg of cheese in total. - The cheese is produced evenly over 85 days. Step 1: Divide the total amount of cheese produced by the number of days. Amount of cheese produced per day = Total amount of cheese produced / Number of days Amount of cheese produced per day = 5865 kg / 85 days Step 2: Calculate the amount of cheese produced per day. Amount of cheese produced per day = 5865 kg / 85 days Amount of cheese produced per day = 69 kg Therefore, the cheese factory produces 69 kg of cheese each day. ### Answer: 69
Expected answer: 69
Correct? Yes
Problem: Continuing with the scenario of the cheese factory, let's say the factory now operates 31 days a month rather than 85 days, with the overall cheese production still being 5865 kg. How much cheese would now be produced each day?
Claude-3 Sonnet:
Okay, let's solve this problem with the new information. Given information: - The cheese factory produces a total of 5865 kg of cheese. - The factory now operates for 31 days a month. To find the amount of cheese produced each day, we need to divide the total amount of cheese produced by the number of days the factory operates in a month. Step 1: Divide the total amount of cheese produced by the number of days in a month. Amount of cheese produced per day = Total amount of cheese produced / Number of days in a month Amount of cheese produced per day = 5865 kg / 31 days Step 2: Calculate the amount of cheese produced per day. Amount of cheese produced per day = 5865 kg / 31 days Amount of cheese produced per day = 189.19 kg Therefore, with the factory operating for 31 days a month and producing a total of 5865 kg of cheese, the amount of cheese produced each day would be 189.19 kg. ### Answer: 189.19
Expected answer: 5865/31
Correct? No
Problem: A cucumber farm yields 2592 cucumbers per 54 plants. If a section of the farm grows 38 plants, subtracting the 74 cucumbers that were damaged, how many cucumbers are available for sale?
Claude-3 Sonnet:
To solve this problem, we need to find the number of cucumbers produced by 38 plants and then subtract the damaged cucumbers. Given information: - The farm yields 2592 cucumbers per 54 plants. - A section of the farm grows 38 plants. - 74 cucumbers were damaged. Step 1: Find the number of cucumbers produced by 54 plants. Number of cucumbers produced by 54 plants = 2592 Step 2: Find the number of cucumbers produced by 1 plant. Number of cucumbers produced by 1 plant = 2592 / 54 = 48 Step 3: Find the number of cucumbers produced by 38 plants. Number of cucumbers produced by 38 plants = 38 ร 48 = 1824 Step 4: Subtract the damaged cucumbers from the total cucumbers produced. Number of cucumbers available for sale = 1824 - 74 = 1750 Therefore, 1750 cucumbers are available for sale. ### Answer: 1750
Expected answer: 1750
Correct? Yes
Problem: In a new scenario, where an exact amount of 1 cucumber is damaged instead of 74 in the section growing 38 plants, how many cucumbers would now be available for sale from that section?
Claude-3 Sonnet:
In this new scenario, we have the following information: - The farm yields 2592 cucumbers per 54 plants. - A section of the farm grows 38 plants. - 1 cucumber was damaged. Step 1: Find the number of cucumbers produced by 54 plants. Number of cucumbers produced by 54 plants = 2592 Step 2: Find the number of cucumbers produced by 1 plant. Number of cucumbers produced by 1 plant = 2592 / 54 = 48 Step 3: Find the number of cucumbers produced by 38 plants. Number of cucumbers produced by 38 plants = 38 ร 48 = 1824 Step 4: Subtract the damaged cucumber from the total cucumbers produced. Number of cucumbers available for sale = 1824 - 1 = 1823 Therefore, with only 1 cucumber damaged in the section growing 38 plants, 1823 cucumbers would be available for sale from that section. ### Answer: 1823
Expected answer: 1823
Correct? Yes
Problem: A toy car battery lasts 16 hours. However, if the car's lights are used, the battery life decreases by the equivalent of 36 divided by 9 hours. Assuming the toy car is run with the lights on for 12 full weeks, each week considered to be 60 hours, how long did the battery last?
Claude-3 Sonnet:
To solve this problem, we need to find the battery life when the lights are on and then calculate the total battery life based on the number of hours the toy car is run with the lights on. Given information: - The toy car battery lasts 16 hours without the lights on. - When the lights are on, the battery life decreases by (36 รท 9) = 4 hours. - The toy car is run with the lights on for 12 full weeks. - Each week is considered to be 60 hours. Step 1: Find the battery life when the lights are on. Battery life with lights on = Battery life without lights - Decrease in battery life due to lights Battery life with lights on = 16 hours - 4 hours = 12 hours Step 2: Calculate the total number of hours the toy car is run with the lights on. Total hours with lights on = Number of weeks ร Hours per week Total hours with lights on = 12 weeks ร 60 hours/week = 720 hours Step 3: Calculate the total battery life by dividing the total hours with lights on by the battery life with lights on. Total battery life = Total hours with lights on / Battery life with lights on Total battery life = 720 hours / 12 hours = 60 batteries Therefore, the battery lasted for 60 batteries when the toy car was run with the lights on for 12 full weeks. ### Answer: 60 batteries
Expected answer: 8640
Correct? No
Problem: A hand-crafted leather wallet costs 2407 dollars. If you can pay this in 83 installments, how much money would each installment be?
Claude-3 Sonnet:
To solve this problem, we need to divide the total cost of the wallet by the number of installments. Given information: - The cost of the leather wallet is $2407. - The payment can be made in 83 installments. Step 1: Divide the total cost by the number of installments. Cost of each installment = Total cost / Number of installments Cost of each installment = $2407 / 83 Step 2: Calculate the cost of each installment. Cost of each installment = $2407 / 83 Cost of each installment = $29 Therefore, each installment would be $29. ### Answer: 29
Expected answer: 29
Correct? Yes
Problem: If you decide to buy a simple keychain from the same craftsman instead, which costs the same as a single installment of your previous purchase, how much does it cost if each installment was 83 dollars divided by 83?
Claude-3 Sonnet:
Okay, let's break this down: * The cost of the leather wallet was $2407 * It could be paid in 83 installments * So each installment was $2407 / 83 = $29 * Now, you want to buy a simple keychain that costs the same as a single installment of the wallet purchase * But the question states that each installment was $83 divided by 83 Dividing $83 by 83 gives us: $83 / 83 = $1 So if each installment for the wallet was $1, then the cost of the simple keychain is also $1. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: A big grizzly bear feasts on 2726 ounces of salmon during a 58-day summer period. How much salmon does the bear eat each day on average?
Claude-3 Sonnet:
To solve this problem, we need to find the average amount of salmon the bear eats per day. Given information: - The bear eats 2726 ounces of salmon during a 58-day summer period. Step 1: Find the total number of days. Total number of days = 58 days Step 2: Find the average amount of salmon eaten per day. Average amount of salmon eaten per day = Total amount of salmon eaten / Total number of days Average amount of salmon eaten per day = 2726 ounces / 58 days Average amount of salmon eaten per day = 47 ounces Therefore, the bear eats an average of 47 ounces of salmon each day during the 58-day summer period. ### Answer: 47
Expected answer: 47
Correct? Yes
Problem: In the original problem, the big grizzly bear ate 2726 ounces of salmon over a 58-day summer period. However, what would have been the daily average if the bear had eaten the same total amount of salmon but over a shorter 50-day period instead?
Claude-3 Sonnet:
Okay, let's solve this problem with the new information. Given information: - The bear ate 2726 ounces of salmon. - The summer period is now 50 days instead of 58 days. To find the daily average amount of salmon eaten by the bear over a 50-day period, we need to divide the total amount of salmon eaten by the number of days. Step 1: Find the total amount of salmon eaten. Total amount of salmon eaten = 2726 ounces Step 2: Find the number of days in the new summer period. Number of days = 50 days Step 3: Calculate the daily average amount of salmon eaten. Daily average amount of salmon eaten = Total amount of salmon eaten / Number of days Daily average amount of salmon eaten = 2726 ounces / 50 days Daily average amount of salmon eaten = 54.52 ounces Therefore, if the bear had eaten the same total amount of salmon (2726 ounces) but over a shorter 50-day period instead of 58 days, the daily average amount of salmon eaten by the bear would be 54.52 ounces. ### Answer: 54.52
Expected answer: 1363/25
Correct? Yes
Problem: A farmer has two patches of land. One patch yields 26 carrots and the other yields 16 carrots. If every day for 77 days, the farmer collects the same amount of carrots, how many carrots has the farmer collected in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of carrots yielded by both patches of land and then multiply it by the number of days. Given information: - One patch of land yields 26 carrots. - The other patch of land yields 16 carrots. - The farmer collects the same amount of carrots every day for 77 days. Step 1: Find the total number of carrots yielded by both patches of land. Total carrots yielded = Carrots from patch 1 + Carrots from patch 2 Total carrots yielded = 26 + 16 = 42 carrots Step 2: Find the total number of carrots collected in 77 days. Total carrots collected = Total carrots yielded ร Number of days Total carrots collected = 42 carrots ร 77 days Total carrots collected = 3,234 carrots Therefore, the farmer has collected a total of 3,234 carrots in 77 days. ### Answer: 3234
Expected answer: 3234
Correct? Yes
Problem: Let's consider the farmer's situation again. What if, instead of 77 days, the farmer only collected carrots from his patches of land for a period of 22 days. How many total carrots would he have collected from his patches during this time?
Claude-3 Sonnet:
Okay, let's reconsider the problem with the new information. Given information: - One patch of land yields 26 carrots. - The other patch of land yields 16 carrots. - The farmer collects the same amount of carrots every day for 22 days. Step 1: Find the total number of carrots yielded by both patches of land. Total carrots yielded = Carrots from patch 1 + Carrots from patch 2 Total carrots yielded = 26 + 16 = 42 carrots Step 2: Find the total number of carrots collected in 22 days. Total carrots collected = Total carrots yielded ร Number of days Total carrots collected = 42 carrots ร 22 days Total carrots collected = 924 carrots Therefore, if the farmer collected carrots from his patches of land for a period of 22 days, he would have collected a total of 924 carrots. ### Answer: 924
Expected answer: 924
Correct? Yes
Problem: A clothes store had 71 pairs of pants in stock at the beginning of the week. They received an additional shipment of 39 pairs, but then sold 54 pairs. How many pairs of pants does the store have in stock now?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of pairs of pants the store had after receiving the additional shipment, and then subtract the number of pairs sold. Given information: - The store had 71 pairs of pants in stock at the beginning of the week. - The store received an additional shipment of 39 pairs of pants. - The store sold 54 pairs of pants. Step 1: Find the total number of pairs of pants the store had after receiving the additional shipment. Total pairs of pants after receiving the shipment = Initial stock + Additional shipment Total pairs of pants after receiving the shipment = 71 + 39 = 110 pairs Step 2: Find the number of pairs of pants remaining after selling 54 pairs. Remaining pairs of pants = Total pairs of pants after receiving the shipment - Pairs of pants sold Remaining pairs of pants = 110 - 54 = 56 pairs Therefore, the store has 56 pairs of pants in stock now. ### Answer: 56
Expected answer: 56
Correct? Yes
Problem: A chef uses 483g of sugar to make 7 of her special cakes. How much sugar does she use for each cake?
Claude-3 Sonnet:
To solve this problem, we need to find the amount of sugar used for one cake. Given information: - The chef uses 483g of sugar to make 7 cakes. Step 1: Find the amount of sugar used for one cake. Amount of sugar used for one cake = Total amount of sugar used / Number of cakes Amount of sugar used for one cake = 483g / 7 Amount of sugar used for one cake = 69g Therefore, the chef uses 69g of sugar for each cake. ### Answer: 69g
Expected answer: 69
Correct? Yes
Problem: In the next batch, the chef decided to add an extra 25g of sugar to her special cake recipe to make it sweeter. How much sugar does she use now for each cake?
Claude-3 Sonnet:
In this problem, we need to find out how much sugar the chef uses for each cake after adding an extra 25g of sugar to the recipe. Given: - The original amount of sugar used for each cake was 69g. - The chef added an extra 25g of sugar to the recipe. To calculate the new amount of sugar used for each cake, we need to add the extra 25g to the original amount. Step 1: Calculate the new amount of sugar used for each cake. New amount of sugar used for each cake = Original amount of sugar + Extra sugar added New amount of sugar used for each cake = 69g + 25g New amount of sugar used for each cake = 94g Therefore, the chef now uses 94g of sugar for each cake in the new batch. ### Answer: 94g
Expected answer: 94
Correct? Yes
Problem: After receiving some feedback, the chef used less sugar in her next batch of cakes. She used only 65g for seven cakes. How much sugar does she use now for each cake?
Claude-3 Sonnet:
To solve this problem, we need to find the amount of sugar used for one cake in the new batch. Given information: - The chef used 65g of sugar for 7 cakes. Step 1: Find the amount of sugar used for one cake. Amount of sugar used for one cake = Total amount of sugar used / Number of cakes Amount of sugar used for one cake = 65g / 7 Amount of sugar used for one cake = 9.285g (approximately) Therefore, the chef now uses approximately 9.285g (or 9.29g) of sugar for each cake. ### Answer: 9.29g
Expected answer: 65/7
Correct? No
Problem: A kite maker has 41 blue, 63 red, and 57 green kites. If they give away 98 kites and create an additional 3 kites, how many kites does the maker have now?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of kites the kite maker had initially, then subtract the number of kites given away, and finally add the number of new kites created. Given information: - The kite maker has 41 blue kites, 63 red kites, and 57 green kites. - The kite maker gave away 98 kites. - The kite maker created an additional 3 kites. Step 1: Find the total number of kites the kite maker had initially. Total number of kites initially = 41 (blue) + 63 (red) + 57 (green) Total number of kites initially = 161 kites Step 2: Subtract the number of kites given away. Number of kites remaining after giving away = Total number of kites initially - Number of kites given away Number of kites remaining after giving away = 161 - 98 = 63 kites Step 3: Add the number of new kites created. Number of kites after creating new ones = Number of kites remaining after giving away + Number of new kites created Number of kites after creating new ones = 63 + 3 = 66 kites Therefore, the kite maker now has 66 kites. ### Answer: 66
Expected answer: 66
Correct? Yes
Problem: Following up with the earlier situation of the kite maker who had 41 blue, 63 red, and 57 green kites, gave away 98 kites, and created an additional 3 kites: If the kite maker decided to ramp up production and multiply their current inventory by 18, then add the original inventory to this increased production, how many kites would the they have now?
Claude-3 Sonnet:
To solve this problem, we need to find the current inventory of the kite maker after giving away 98 kites and creating 3 new kites, then multiply it by 18 to get the increased production, and finally add the original inventory to the increased production. Given information: - The kite maker originally had 41 blue kites, 63 red kites, and 57 green kites. - The kite maker gave away 98 kites. - The kite maker created an additional 3 kites. - The kite maker wants to multiply their current inventory by 18 and add the original inventory to this increased production. Step 1: Find the current inventory after giving away 98 kites and creating 3 new kites. Current inventory = Original inventory - Kites given away + New kites created Current inventory = (41 + 63 + 57) - 98 + 3 = 161 - 98 + 3 = 66 kites Step 2: Multiply the current inventory by 18 to get the increased production. Increased production = Current inventory ร 18 Increased production = 66 ร 18 = 1,188 kites Step 3: Add the original inventory to the increased production. Total kites after increased production = Original inventory + Increased production Total kites after increased production = (41 + 63 + 57) + 1,188 = 161 + 1,188 = 1,349 kites Therefore, after ramping up production and multiplying their current inventory by 18, and adding the original inventory to this increased production, the kite maker would have 1,349 kites. ### Answer: 1,349
Expected answer: 1254
Correct? No
Problem: After the kite maker gave away some kites and made new ones, let's change the circumstances a bit. Instead of giving away 98 kites, they only gave away 19 kites. Taking into account that they still made an additional 3 kites, how many kites does the maker have now?
Claude-3 Sonnet:
Okay, let's recalculate with the new information. Given information: - The kite maker initially had 41 blue kites, 63 red kites, and 57 green kites. - The kite maker gave away 19 kites (instead of 98). - The kite maker created an additional 3 kites. Step 1: Find the total number of kites the kite maker had initially. Total number of kites initially = 41 (blue) + 63 (red) + 57 (green) Total number of kites initially = 161 kites Step 2: Subtract the number of kites given away (19 instead of 98). Number of kites remaining after giving away = Total number of kites initially - Number of kites given away Number of kites remaining after giving away = 161 - 19 = 142 kites Step 3: Add the number of new kites created (3 kites). Number of kites after creating new ones = Number of kites remaining after giving away + Number of new kites created Number of kites after creating new ones = 142 + 3 = 145 kites Therefore, with the new information that the kite maker gave away 19 kites instead of 98, and still created an additional 3 kites, the kite maker now has 145 kites. ### Answer: 145
Expected answer: 145
Correct? Yes
Problem: A teddy bear company produces 7644 teddy bears in a span of 91 days. How many teddy bears does the company approximately makes each day?
Claude-3 Sonnet:
To solve this problem, we need to divide the total number of teddy bears produced by the number of days. Given information: - The teddy bear company produces 7644 teddy bears in 91 days. Total number of teddy bears produced = 7644 Number of days = 91 Number of teddy bears produced per day = Total number of teddy bears produced / Number of days Number of teddy bears produced per day = 7644 / 91 Number of teddy bears produced per day = 84 Therefore, the teddy bear company approximately makes 84 teddy bears each day. ### Answer: 84
Expected answer: 84
Correct? Yes
Problem: After reviewing their production numbers, the teddy bear company realized that they actually produce 7644 teddy bears in a span of 50 days, not 91 days. How many teddy bears does the company approximately makes each day now?
Claude-3 Sonnet:
Okay, let's recalculate with the updated information. Given information: - The teddy bear company produces 7644 teddy bears in 50 days. Total number of teddy bears produced = 7644 Number of days = 50 Number of teddy bears produced per day = Total number of teddy bears produced / Number of days Number of teddy bears produced per day = 7644 / 50 Number of teddy bears produced per day = 152.88 Since we want an approximate whole number, we can round down to 152. Therefore, with the updated information, the teddy bear company approximately makes 152 teddy bears each day. ### Answer: 152
Expected answer: 3822/25
Correct? No
Problem: A train travels at a speed of 68 mph but due to certain restrictions, it had to slow down to 28 mph. Considering the travel time of 21 hours, calculate the impact on the total distance traveled by the train.
Claude-3 Sonnet:
To solve this problem, we need to find the distance the train would have traveled at the original speed of 68 mph and the distance it would have traveled at the reduced speed of 28 mph, and then calculate the difference between the two distances. Given information: - Original speed of the train = 68 mph - Reduced speed of the train = 28 mph - Total travel time = 21 hours Step 1: Calculate the distance the train would have traveled at the original speed of 68 mph. Distance = Speed ร Time Distance = 68 mph ร 21 hours Distance = 1,428 miles Step 2: Calculate the distance the train would have traveled at the reduced speed of 28 mph. Distance = Speed ร Time Distance = 28 mph ร 21 hours Distance = 588 miles Step 3: Calculate the impact on the total distance traveled by finding the difference between the two distances. Impact on the total distance traveled = Distance at original speed - Distance at reduced speed Impact on the total distance traveled = 1,428 miles - 588 miles Impact on the total distance traveled = 840 miles Therefore, due to the speed restriction, the train traveled 840 miles less than it would have traveled at the original speed of 68 mph. ### Answer: 840 miles
Expected answer: 840
Correct? Yes
Problem: In the previous question, we considered a speed decrease from 68 mph to 28 mph. For this question, let's assume the train didn't have to slow down that much, but travelled instead at a speed of 56 mph. Over the same 21 hours, calculate the revised total distance travelled by the train.
Claude-3 Sonnet:
To solve this problem, we need to find the distance the train would have traveled at the new speed of 56 mph over the given travel time of 21 hours. Given information: - New speed of the train = 56 mph - Total travel time = 21 hours Step 1: Calculate the distance the train would have traveled at the new speed of 56 mph. Distance = Speed ร Time Distance = 56 mph ร 21 hours Distance = 1,176 miles Therefore, if the train traveled at a speed of 56 mph for 21 hours, the revised total distance traveled by the train would be 1,176 miles. ### Answer: 1,176 miles
Expected answer: 252
Correct? No
Problem: An alien spacecraft traveled 95 light-years to reach Earth, but had to stop 70 light-years along the way at a space buoy for refueling. How many light-years did it travel after refueling to reach Earth?
Claude-3 Sonnet:
To solve this problem, we need to find the remaining distance the alien spacecraft had to travel after refueling. Given information: - The alien spacecraft traveled a total of 95 light-years to reach Earth. - It stopped at a space buoy for refueling after traveling 70 light-years. Step 1: Find the remaining distance to travel after refueling. Total distance to travel - Distance traveled before refueling = Remaining distance after refueling 95 light-years - 70 light-years = 25 light-years Therefore, the alien spacecraft had to travel 25 light-years after refueling to reach Earth. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: The alien spaceship initially traveled 95 light-years to reach Earth. But let's consider a scenario where they could only stop 60 light-years along the way at a space buoy for refueling instead of 70 light-years. In that case, how many light-years would the spaceship have to travel after refueling to reach Earth?
Claude-3 Sonnet:
Okay, let's consider the new scenario where the alien spaceship stopped for refueling at 60 light-years instead of 70 light-years. Given information: - The alien spaceship traveled a total of 95 light-years to reach Earth. - It stopped at a space buoy for refueling after traveling 60 light-years. Step 1: Find the remaining distance to travel after refueling. Total distance to travel - Distance traveled before refueling = Remaining distance after refueling 95 light-years - 60 light-years = 35 light-years Therefore, in this scenario, the alien spaceship would have to travel 35 light-years after refueling to reach Earth. ### Answer: 35
Expected answer: 35
Correct? Yes
Problem: In a popular game, a character starts with a health value of 82. After being attacked by a rival character, his health value decreases by 69. What is the character's remaining health value?
Claude-3 Sonnet:
To solve this problem, we need to subtract the amount of health lost from the initial health value. Given information: - The character starts with a health value of 82. - The character's health value decreases by 69 after being attacked. Step 1: Subtract the amount of health lost from the initial health value. Initial health value - Health lost = Remaining health value 82 - 69 = 13 Therefore, the character's remaining health value is 13. ### Answer: 13
Expected answer: 13
Correct? Yes
Problem: In our previous scenario, the character started with a health value of 82. What if, instead of being attacked and losing 69 health points, he was attacked by a weaker rival character and only lost 33 health points. What would be the character's remaining health value in this new scenario?
Claude-3 Sonnet:
Okay, let's consider the new scenario where the character starts with a health value of 82 and loses 33 health points after being attacked by a weaker rival character. Given information: - The character starts with a health value of 82. - The character loses 33 health points after being attacked. To find the remaining health value, we need to subtract the health points lost from the initial health value. Step 1: Subtract the health points lost from the initial health value. Initial health value - Health points lost = Remaining health value 82 - 33 = 49 Therefore, in this new scenario, the character's remaining health value after losing 33 health points is 49. ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: A designer creates 77 dresses in a week and sells them for $16 each. After a week, he subtracts a cost of $27 for fabric damage. How much did the designer earn after accounting for the fabric damage?
Claude-3 Sonnet:
To solve this problem, we need to find the total revenue from selling the dresses and then subtract the cost of fabric damage. Given information: - The designer creates 77 dresses in a week. - Each dress is sold for $16. - The cost of fabric damage is $27. Step 1: Calculate the total revenue from selling the dresses. Total revenue = Number of dresses ร Price per dress Total revenue = 77 ร $16 = $1,232 Step 2: Subtract the cost of fabric damage from the total revenue. Net earnings = Total revenue - Cost of fabric damage Net earnings = $1,232 - $27 = $1,205 Therefore, after accounting for the fabric damage, the designer earned $1,205. ### Answer: $1,205
Expected answer: 1205
Correct? Yes
Problem: A snail travels 66 inches in a day. In addition to that, the snail extracted energy from 704 lettuce leaves over 22 days, allowing it to move an additional inch per day. How far in inches does the snail travel in a day with the additional energy?
Claude-3 Sonnet:
To solve this problem, we need to find out how much additional distance the snail can travel per day with the energy extracted from the lettuce leaves. Given information: - The snail travels 66 inches in a day without additional energy. - The snail extracted energy from 704 lettuce leaves over 22 days. - The energy from the lettuce leaves allows the snail to move an additional inch per day. Step 1: Find the number of lettuce leaves the snail extracted energy from per day. Number of lettuce leaves per day = Total number of lettuce leaves / Number of days Number of lettuce leaves per day = 704 lettuce leaves / 22 days Number of lettuce leaves per day = 32 lettuce leaves per day Step 2: Find the additional distance the snail can travel per day with the energy from the lettuce leaves. Additional distance per day = 1 inch per day (given) Step 3: Find the total distance the snail can travel in a day with the additional energy. Total distance per day = Distance without additional energy + Additional distance with energy Total distance per day = 66 inches + 1 inch Total distance per day = 67 inches Therefore, with the additional energy from the lettuce leaves, the snail can travel 67 inches in a day. ### Answer: 67
Expected answer: 98
Correct? No
Problem: A cake recipe calls for using 65 grams of sugar. If a bakery prepares 29 such cakes and then adds 46 more grams for frosting, how many grams of sugar did they use in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total amount of sugar required for the cakes and then add the amount of sugar required for the frosting. Given information: - One cake requires 65 grams of sugar. - The bakery prepares 29 cakes. - The bakery adds 46 grams of sugar for frosting. Step 1: Find the total amount of sugar required for the 29 cakes. Amount of sugar required for one cake ร Number of cakes = Total amount of sugar required for the cakes 65 grams ร 29 cakes = 1,885 grams Step 2: Find the total amount of sugar required by adding the amount of sugar for frosting. Total amount of sugar required for the cakes + Amount of sugar for frosting = Total amount of sugar required 1,885 grams + 46 grams = 1,931 grams Therefore, the bakery used a total of 1,931 grams of sugar for preparing 29 cakes and the frosting. ### Answer: 1931
Expected answer: 1931
Correct? Yes
Problem: A skateboard company makes 36 freestyle skateboards and 92 downhill skateboards in a day. How many skateboards does it make in total in a day?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of skateboards made by adding the number of freestyle skateboards and the number of downhill skateboards. Given information: - The skateboard company makes 36 freestyle skateboards in a day. - The skateboard company makes 92 downhill skateboards in a day. Total number of skateboards made in a day = Number of freestyle skateboards + Number of downhill skateboards Total number of skateboards made in a day = 36 + 92 Total number of skateboards made in a day = 128 Therefore, the skateboard company makes a total of 128 skateboards in a day. ### Answer: 128
Expected answer: 128
Correct? Yes
Problem: The skateboard company decides to extend its production over 21 days but had to discard 65 skateboards due to quality issues. How many skateboards did they make in the span of these 21 days after discarding the faulty ones?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of skateboards made in 21 days and then subtract the number of skateboards that were discarded due to quality issues. Given information: - The skateboard company makes a total of 128 skateboards in a day. - The skateboard company extended its production over 21 days. - The skateboard company had to discard 65 skateboards due to quality issues. Step 1: Find the total number of skateboards made in 21 days. Total number of skateboards made in 21 days = Number of skateboards made per day ร Number of days Total number of skateboards made in 21 days = 128 ร 21 Total number of skateboards made in 21 days = 2,688 Step 2: Subtract the number of skateboards discarded due to quality issues. Number of skateboards made after discarding faulty ones = Total number of skateboards made in 21 days - Number of skateboards discarded Number of skateboards made after discarding faulty ones = 2,688 - 65 Number of skateboards made after discarding faulty ones = 2,623 Therefore, the skateboard company made a total of 2,623 skateboards in the span of 21 days after discarding the faulty ones. ### Answer: 2,623
Expected answer: 2623
Correct? Yes
Problem: Suppose now the company produces 82 freestyle skateboards instead of 36, while still producing 92 downhill skateboards daily. How many skateboards does it make in total in a day?
Claude-3 Sonnet:
Okay, let's solve this new problem. Given information: - The skateboard company makes 82 freestyle skateboards in a day. - The skateboard company makes 92 downhill skateboards in a day. Total number of skateboards made in a day = Number of freestyle skateboards + Number of downhill skateboards Total number of skateboards made in a day = 82 + 92 Total number of skateboards made in a day = 174 Therefore, with the new production of 82 freestyle skateboards and 92 downhill skateboards, the skateboard company makes a total of 174 skateboards in a day. ### Answer: 174
Expected answer: 174
Correct? Yes
Problem: A cafรฉ sells hot chocolate for 42 dollars per cup. One day, they sold 78 cups of hot chocolate and made an extra 58 dollars from selling marshmallows. What is the total revenue of that day from selling hot chocolate and marshmallows?
Claude-3 Sonnet:
To solve this problem, we need to find the revenue from selling hot chocolate and then add the revenue from selling marshmallows. Given information: - The cafรฉ sells hot chocolate for $42 per cup. - The cafรฉ sold 78 cups of hot chocolate. - The cafรฉ made an extra $58 from selling marshmallows. Step 1: Find the revenue from selling hot chocolate. Revenue from hot chocolate = Price per cup ร Number of cups sold Revenue from hot chocolate = $42 ร 78 Revenue from hot chocolate = $3,276 Step 2: Find the total revenue by adding the revenue from hot chocolate and the revenue from selling marshmallows. Total revenue = Revenue from hot chocolate + Revenue from selling marshmallows Total revenue = $3,276 + $58 Total revenue = $3,334 ### Answer: $3,334
Expected answer: 3334
Correct? Yes
Problem: The cafรฉ also has another branch. If the other branch also made the same amount of money from selling hot chocolate and marshmallows in a day, what would be the total revenue from both branches?
Claude-3 Sonnet:
To find the total revenue from both branches, we need to double the revenue from one branch since they made the same amount of money. Given information: - The revenue from one branch for selling hot chocolate and marshmallows is $3,334. Step 1: Calculate the total revenue from both branches. Total revenue from both branches = Revenue from one branch ร 2 Total revenue from both branches = $3,334 ร 2 Total revenue from both branches = $6,668 ### Answer: $6,668
Expected answer: 6668
Correct? Yes
Problem: Suppose that on another day, the cafรฉ priced their hot chocolate differently: they sold it for 42 dollars per cup but only sold 78 cups, and made an additional 24 dollars from selling marshmallows. What would be the total revenue of that day?
Claude-3 Sonnet:
To solve this problem, we need to find the revenue from selling hot chocolate and then add the revenue from selling marshmallows. Given information: - The cafรฉ sells hot chocolate for $42 per cup. - The cafรฉ sold 78 cups of hot chocolate. - The cafรฉ made an additional $24 from selling marshmallows. Step 1: Find the revenue from selling hot chocolate. Revenue from hot chocolate = Price per cup ร Number of cups sold Revenue from hot chocolate = $42 ร 78 Revenue from hot chocolate = $3,276 Step 2: Find the total revenue by adding the revenue from hot chocolate and the revenue from selling marshmallows. Total revenue = Revenue from hot chocolate + Revenue from selling marshmallows Total revenue = $3,276 + $24 Total revenue = $3,300 ### Answer: $3,300
Expected answer: 3300
Correct? Yes
Problem: A river tour boat can hold 58 adults. If an additional 4 children can also board the boat, what is the total number of passengers the boat can carry?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of passengers the boat can carry, which is the sum of the number of adults and the number of children. Given information: - The river tour boat can hold 58 adults. - An additional 4 children can also board the boat. Step 1: Find the number of adults the boat can carry. Number of adults = 58 Step 2: Find the number of children the boat can carry. Number of children = 4 Step 3: Find the total number of passengers the boat can carry. Total number of passengers = Number of adults + Number of children Total number of passengers = 58 + 4 Total number of passengers = 62 Therefore, the total number of passengers the river tour boat can carry is 62. ### Answer: 62
Expected answer: 62
Correct? Yes
Problem: Suppose that the river tour boat could originally only hold 58 adults. It has now been modified to increase its capacity by 3 more adults. Taking this into account, how many total adults can the boat hold now?
Claude-3 Sonnet:
To solve this problem, we need to find the new capacity of the boat for adults after it has been modified to increase its capacity by 3 more adults. Given information: - The river tour boat could originally hold 58 adults. - The boat has been modified to increase its capacity by 3 more adults. Step 1: Find the original capacity of the boat for adults. Original capacity for adults = 58 Step 2: Find the increase in capacity for adults. Increase in capacity for adults = 3 Step 3: Find the new capacity of the boat for adults after the modification. New capacity for adults = Original capacity for adults + Increase in capacity for adults New capacity for adults = 58 + 3 New capacity for adults = 61 Therefore, after the modification, the river tour boat can hold a total of 61 adults. ### Answer: 61
Expected answer: 61
Correct? Yes
Problem: If a monkey gets ((360 bananas / 12 months) + 16 extra bananas) per month, how many bananas does the monkey get in a month?
Claude-3 Sonnet:
To solve this problem, we need to find the number of bananas the monkey gets per month, which is given by the expression ((360 bananas / 12 months) + 16 extra bananas). Given information: - The monkey gets 360 bananas per year. - The year is divided into 12 months. - The monkey gets 16 extra bananas per month. Step 1: Find the number of bananas the monkey gets per month from the yearly supply. Number of bananas per month from the yearly supply = 360 bananas / 12 months Number of bananas per month from the yearly supply = 30 bananas Step 2: Add the extra 16 bananas to the number of bananas per month from the yearly supply. Total number of bananas per month = Number of bananas per month from the yearly supply + Extra bananas per month Total number of bananas per month = 30 bananas + 16 bananas Total number of bananas per month = 46 bananas Therefore, the monkey gets 46 bananas per month. ### Answer: 46
Expected answer: 46
Correct? Yes
Problem: If in the next month, the monkey received additional bananas, bringing its total to ((360 bananas / 12 months) + 16 extra bananas + 79 more bananas) but then 67 of them were stolen, how many bananas does the monkey have now?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of bananas the monkey received in the next month, and then subtract the number of bananas that were stolen. Given information: - The monkey gets 360 bananas per year. - The year is divided into 12 months. - The monkey gets 16 extra bananas per month. - The monkey received 79 more bananas in the next month. - 67 bananas were stolen. Step 1: Find the number of bananas the monkey gets per month from the yearly supply. Number of bananas per month from the yearly supply = 360 bananas / 12 months Number of bananas per month from the yearly supply = 30 bananas Step 2: Find the total number of bananas the monkey received in the next month. Total number of bananas received = Number of bananas per month from the yearly supply + Extra bananas per month + Additional bananas Total number of bananas received = 30 bananas + 16 bananas + 79 bananas Total number of bananas received = 125 bananas Step 3: Subtract the number of bananas that were stolen from the total number of bananas received. Number of bananas remaining = Total number of bananas received - Number of bananas stolen Number of bananas remaining = 125 bananas - 67 bananas Number of bananas remaining = 58 bananas Therefore, the monkey has 58 bananas now. ### Answer: 58
Expected answer: 58
Correct? Yes
Problem: What if, instead of getting 360 bananas a year, the monkey only got 360 bananas every 20 months? If the monkey also got 16 extra bananas per month, how many bananas would the monkey get in a month?
Claude-3 Sonnet:
To solve this problem, we need to find the number of bananas the monkey gets per month when it receives 360 bananas every 20 months and also gets 16 extra bananas per month. Given information: - The monkey gets 360 bananas every 20 months. - The monkey gets 16 extra bananas per month. Step 1: Find the number of bananas the monkey gets per month from the supply of 360 bananas every 20 months. Number of bananas per month from the supply = 360 bananas / 20 months Number of bananas per month from the supply = 18 bananas Step 2: Add the extra 16 bananas to the number of bananas per month from the supply. Total number of bananas per month = Number of bananas per month from the supply + Extra bananas per month Total number of bananas per month = 18 bananas + 16 bananas Total number of bananas per month = 34 bananas Therefore, if the monkey gets 360 bananas every 20 months and also gets 16 extra bananas per month, the monkey would get 34 bananas per month. ### Answer: 34
Expected answer: 34
Correct? Yes
Problem: A starfish has 5 arms. If there were 360 degrees in a circle, how many degrees would be in each section if it were to be equally divided amongst the starfish's arms?
Claude-3 Sonnet:
To solve this problem, we need to divide the total number of degrees in a circle (360ยฐ) by the number of arms of the starfish (5). Given information: - A starfish has 5 arms. - There are 360 degrees in a circle. Step 1: Divide the total number of degrees in a circle by the number of arms of the starfish. Number of degrees in each section = Total degrees in a circle / Number of arms Number of degrees in each section = 360ยฐ / 5 Number of degrees in each section = 72ยฐ Therefore, if the circle were to be equally divided among the starfish's arms, each section would have 72 degrees. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: Continuing from the previous problem, what if the starfish was an unusual species with 17 arms instead of 5? If there were still 360 degrees in a circle, how many degrees would be in each section if it were to be equally divided amongst the starfish's arms?
Claude-3 Sonnet:
Okay, let's solve this problem. Given information: - The starfish has 17 arms. - There are 360 degrees in a circle. To find the number of degrees in each section, we need to divide the total number of degrees in a circle by the number of arms of the starfish. Step 1: Divide the total number of degrees in a circle by the number of arms of the starfish. Number of degrees in each section = Total degrees in a circle / Number of arms Number of degrees in each section = 360ยฐ / 17 Number of degrees in each section = 21.176...ยฐ Since we cannot have a fractional degree, we need to round down to the nearest whole number. Number of degrees in each section = 21ยฐ Therefore, if the circle were to be equally divided among the starfish's 17 arms, each section would have 21 degrees. ### Answer: 21
Expected answer: 360/17
Correct? No
Problem: There's a toy store that has 26 stuffed rabbits. If they decide to order an additional 84 stuffed rabbits and 36 stuffed bears, how many stuffed animals will they have in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of stuffed animals after adding the new orders to the existing stock of stuffed rabbits. Given information: - The toy store initially has 26 stuffed rabbits. - They order an additional 84 stuffed rabbits. - They order 36 stuffed bears. Step 1: Find the total number of stuffed rabbits after the new order. Total number of stuffed rabbits = Initial number of stuffed rabbits + Additional stuffed rabbits ordered Total number of stuffed rabbits = 26 + 84 = 110 stuffed rabbits Step 2: Find the total number of stuffed animals by adding the number of stuffed rabbits and stuffed bears. Total number of stuffed animals = Total number of stuffed rabbits + Number of stuffed bears Total number of stuffed animals = 110 + 36 = 146 stuffed animals Therefore, after the new orders, the toy store will have a total of 146 stuffed animals. ### Answer: 146
Expected answer: 146
Correct? Yes
Problem: The toy store received a special toy order of 1 rare stuffed panda in addition to their previous order. After adding the special order, how many stuffed animals will the toy store have in total?
Claude-3 Sonnet:
To solve this problem, we need to add the rare stuffed panda to the total number of stuffed animals we calculated previously. Given information: - The toy store initially had 26 stuffed rabbits. - They ordered an additional 84 stuffed rabbits and 36 stuffed bears. - The total number of stuffed animals after the initial order was 146. - They received a special order of 1 rare stuffed panda. Step 1: Find the total number of stuffed animals after adding the rare stuffed panda. Total number of stuffed animals = Total number of stuffed animals after the initial order + Number of rare stuffed pandas Total number of stuffed animals = 146 + 1 = 147 stuffed animals Therefore, after adding the special order of the rare stuffed panda, the toy store will have a total of 147 stuffed animals. ### Answer: 147
Expected answer: 147
Correct? Yes
Problem: On Monday, Rachel watched 35 minutes of TV. On Tuesday, she watched 48 minutes in the morning and 13 more in the evening. How many minutes of TV did Rachel watch on both days?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of minutes Rachel watched TV on Monday and Tuesday. Given information: - On Monday, Rachel watched 35 minutes of TV. - On Tuesday, Rachel watched 48 minutes in the morning and 13 minutes in the evening. Step 1: Find the total number of minutes Rachel watched TV on Tuesday. Minutes watched on Tuesday = Minutes watched in the morning + Minutes watched in the evening Minutes watched on Tuesday = 48 minutes + 13 minutes Minutes watched on Tuesday = 61 minutes Step 2: Find the total number of minutes Rachel watched TV on both days. Total minutes watched = Minutes watched on Monday + Minutes watched on Tuesday Total minutes watched = 35 minutes + 61 minutes Total minutes watched = 96 minutes Therefore, Rachel watched a total of 96 minutes of TV on both days. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: On Wednesday, Rachel watched 68 minutes of TV but decided to reduce her screen time by the amount she had watched on Monday. How many total minutes of TV did Rachel watch on Monday, Tuesday and Wednesday after reducing her Wednesday screen time?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of minutes Rachel watched TV on Monday, Tuesday, and Wednesday after reducing her Wednesday screen time. Given information: - On Monday, Rachel watched 35 minutes of TV. - On Tuesday, Rachel watched 61 minutes of TV. - On Wednesday, Rachel watched 68 minutes of TV initially. - Rachel decided to reduce her Wednesday screen time by the amount she had watched on Monday (35 minutes). Step 1: Find the reduced screen time for Wednesday. Initial screen time on Wednesday = 68 minutes Reduction in screen time = 35 minutes (amount watched on Monday) Reduced screen time on Wednesday = 68 minutes - 35 minutes = 33 minutes Step 2: Find the total number of minutes Rachel watched TV on Monday, Tuesday, and Wednesday after reducing her Wednesday screen time. Total minutes watched = Minutes watched on Monday + Minutes watched on Tuesday + Reduced screen time on Wednesday Total minutes watched = 35 minutes + 61 minutes + 33 minutes Total minutes watched = 129 minutes Therefore, after reducing her Wednesday screen time, Rachel watched a total of 129 minutes of TV on Monday, Tuesday, and Wednesday. ### Answer: 129
Expected answer: 129
Correct? Yes
Problem: If on Monday instead of watching 35 minutes of TV, Rachel watched 37 minutes. Then, how many total minutes of TV did she watch on Monday and Tuesday?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of minutes Rachel watched TV on Monday and Tuesday, considering the updated information for Monday. Given information: - On Monday, Rachel watched 37 minutes of TV (updated information). - On Tuesday, Rachel watched 48 minutes in the morning and 13 minutes in the evening. Step 1: Find the total number of minutes Rachel watched TV on Tuesday. Minutes watched on Tuesday = Minutes watched in the morning + Minutes watched in the evening Minutes watched on Tuesday = 48 minutes + 13 minutes Minutes watched on Tuesday = 61 minutes Step 2: Find the total number of minutes Rachel watched TV on both days. Total minutes watched = Minutes watched on Monday + Minutes watched on Tuesday Total minutes watched = 37 minutes + 61 minutes Total minutes watched = 98 minutes Therefore, with the updated information for Monday, Rachel watched a total of 98 minutes of TV on both days. ### Answer: 98
Expected answer: 98
Correct? Yes
Problem: A door manufacturing company can produce 2340 doors over a 90-day period. How many doors can the company produce in one day?
Claude-3 Sonnet:
To solve this problem, we need to find the rate at which the company produces doors per day. Given information: - The company can produce 2340 doors over a 90-day period. Step 1: Find the number of doors produced per day. Number of doors produced per day = Total doors produced / Number of days Number of doors produced per day = 2340 doors / 90 days Number of doors produced per day = 26 doors Therefore, the company can produce 26 doors in one day. ### Answer: 26
Expected answer: 26
Correct? Yes
Problem: A little mouse had stored 91 pieces of cheese for winter, but a thief mouse stole 77 pieces. The little mouse found 22 more pieces and a kind mouse gave him 12 more. How many pieces of cheese does the little mouse have now?
Claude-3 Sonnet:
To solve this problem, we need to find the number of pieces of cheese the little mouse had after the theft, and then add the pieces it found and the pieces it received from the kind mouse. Given information: - The little mouse initially had 91 pieces of cheese. - A thief mouse stole 77 pieces of cheese. - The little mouse found 22 more pieces of cheese. - A kind mouse gave the little mouse 12 more pieces of cheese. Step 1: Find the number of pieces of cheese the little mouse had after the theft. Initial pieces of cheese - Pieces stolen by the thief mouse = Pieces remaining after the theft 91 - 77 = 14 pieces of cheese Step 2: Add the pieces of cheese the little mouse found and the pieces received from the kind mouse. Pieces remaining after the theft + Pieces found + Pieces received from the kind mouse = Total pieces of cheese now 14 + 22 + 12 = 48 pieces of cheese Therefore, the little mouse now has 48 pieces of cheese. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: A dolphin needs to have approximately 96 kilograms of fish and 22 kilograms of squid every day to stay healthy. If a dolphin's diet remained unchanged for 59 days, how much fish and squid in total, in kilograms, would the dolphin need?
Claude-3 Sonnet:
To solve this problem, we need to find the total amount of fish and squid required for 59 days. Given information: - A dolphin needs 96 kilograms of fish per day. - A dolphin needs 22 kilograms of squid per day. - The dolphin's diet remained unchanged for 59 days. Step 1: Find the total amount of fish required for 59 days. Total amount of fish required = Amount of fish required per day ร Number of days Total amount of fish required = 96 kilograms ร 59 days Total amount of fish required = 5,664 kilograms Step 2: Find the total amount of squid required for 59 days. Total amount of squid required = Amount of squid required per day ร Number of days Total amount of squid required = 22 kilograms ร 59 days Total amount of squid required = 1,298 kilograms Step 3: Find the total amount of fish and squid required for 59 days. Total amount of fish and squid required = Total amount of fish required + Total amount of squid required Total amount of fish and squid required = 5,664 kilograms + 1,298 kilograms Total amount of fish and squid required = 6,962 kilograms Therefore, the dolphin would need a total of 6,962 kilograms of fish and squid to maintain its diet for 59 days. ### Answer: 6962
Expected answer: 6962
Correct? Yes
Problem: Earlier we calculated that a dolphin needs approximately 96 kilograms of fish and 22 kilograms of squid every day to stay healthy. But what if instead, each day the dolphin had 96 kilograms of fish and only 8 kilograms of squid? Then, how much total food in kilograms would the dolphin need if it ate this diet unchanged for 59 days?
Claude-3 Sonnet:
To solve this problem, we need to find the total amount of fish and squid required for 59 days with the new diet. Given information: - A dolphin needs 96 kilograms of fish per day. - A dolphin needs 8 kilograms of squid per day (instead of 22 kilograms). - The dolphin's diet remained unchanged for 59 days. Step 1: Find the total amount of fish required for 59 days. Total amount of fish required = Amount of fish required per day ร Number of days Total amount of fish required = 96 kilograms ร 59 days Total amount of fish required = 5,664 kilograms Step 2: Find the total amount of squid required for 59 days. Total amount of squid required = Amount of squid required per day ร Number of days Total amount of squid required = 8 kilograms ร 59 days Total amount of squid required = 472 kilograms Step 3: Find the total amount of fish and squid required for 59 days. Total amount of fish and squid required = Total amount of fish required + Total amount of squid required Total amount of fish and squid required = 5,664 kilograms + 472 kilograms Total amount of fish and squid required = 6,136 kilograms Therefore, if the dolphin had 96 kilograms of fish and only 8 kilograms of squid each day for 59 days, it would need a total of 6,136 kilograms of food. ### Answer: 6136
Expected answer: 6136
Correct? Yes
Problem: If Mandy has 18 building blocks and she received another 43, then decided to multiply the total by the initial number she had, how many building blocks would she have in the end?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of building blocks Mandy has after receiving the additional 43 blocks, and then multiply that total by the initial number of blocks she had. Given information: - Mandy initially had 18 building blocks. - Mandy received an additional 43 building blocks. Step 1: Find the total number of building blocks after receiving the additional blocks. Initial number of blocks + Additional blocks received = Total number of blocks 18 + 43 = 61 blocks Step 2: Multiply the total number of blocks by the initial number of blocks. Total number of blocks ร Initial number of blocks = Final number of blocks 61 ร 18 = 1,098 blocks Therefore, after multiplying the total number of blocks by the initial number of blocks, Mandy would have 1,098 building blocks in the end. ### Answer: 1098
Expected answer: 1098
Correct? Yes
Problem: Following the previous problem, if Mandy decides to multiply the numbers of the building blocks she ends up with by the result of dividing 215 by 43, how many building blocks would she have then?
Claude-3 Sonnet:
In the previous problem, we found that Mandy would have 1,098 building blocks after multiplying the total number of blocks (61) by the initial number of blocks (18). Now, we need to find the result of dividing 215 by 43, and then multiply that result by 1,098. Given information: - Mandy has 1,098 building blocks. - We need to divide 215 by 43 and multiply the result by 1,098. Step 1: Divide 215 by 43. 215 รท 43 = 5 Step 2: Multiply the result from Step 1 by the number of building blocks Mandy has (1,098). 5 ร 1,098 = 5,490 Therefore, after multiplying the number of building blocks (1,098) by the result of dividing 215 by 43 (5), Mandy would have 5,490 building blocks. ### Answer: 5490
Expected answer: 5490
Correct? Yes
Problem: Continuing with the previous problem, suppose Mandy initially had 18 building blocks and received another 55, instead of the original 43. If she then multiplies the total by the initial 18 building blocks she had, how many building blocks would she have now?
Claude-3 Sonnet:
Okay, let's solve this problem with the updated information. Given information: - Mandy initially had 18 building blocks. - Mandy received an additional 55 building blocks (instead of 43). Step 1: Find the total number of building blocks after receiving the additional blocks. Initial number of blocks + Additional blocks received = Total number of blocks 18 + 55 = 73 blocks Step 2: Multiply the total number of blocks by the initial number of blocks. Total number of blocks ร Initial number of blocks = Final number of blocks 73 ร 18 = 1,314 blocks Therefore, if Mandy initially had 18 building blocks, received an additional 55 blocks, and then multiplied the total by the initial 18 blocks she had, she would have 1,314 building blocks in the end. ### Answer: 1314
Expected answer: 1314
Correct? Yes
Problem: A ballerina practices for (28 - 11) hours a day, and she practices 10 times more on weekends. How much does she practice on weekends?
Claude-3 Sonnet:
To solve this problem, we need to find the number of hours the ballerina practices on a regular day and then multiply it by 10 to find the number of hours she practices on weekends. Given information: - The ballerina practices for (28 - 11) hours a day. - She practices 10 times more on weekends. Step 1: Find the number of hours the ballerina practices on a regular day. Number of hours practiced on a regular day = 28 - 11 = 17 hours Step 2: Find the number of hours the ballerina practices on weekends. Number of hours practiced on weekends = Number of hours practiced on a regular day ร 10 Number of hours practiced on weekends = 17 ร 10 = 170 hours Therefore, the ballerina practices for 170 hours on weekends. ### Answer: 170
Expected answer: 170
Correct? Yes
Problem: Suppose our ballerina decided to lessen her weekend practices to (28 - 11) hours but increased the frequency to 66 times. How many hours did she practice in total on the weekends now?
Claude-3 Sonnet:
To solve this problem, we need to find the number of hours the ballerina practices on a regular day and then multiply it by 66 to find the total number of hours she practices on weekends. Given information: - The ballerina practices for (28 - 11) hours on weekends. - She practices 66 times more on weekends than on regular days. Step 1: Find the number of hours the ballerina practices on a regular day. Number of hours practiced on a regular day = 28 - 11 = 17 hours Step 2: Find the number of hours the ballerina practices on weekends. Number of hours practiced on weekends = Number of hours practiced on a regular day ร 66 Number of hours practiced on weekends = 17 ร 66 = 1,122 hours Therefore, the ballerina practices for a total of 1,122 hours on weekends. ### Answer: 1,122
Expected answer: 1122
Correct? Yes
Problem: A deck of special cards contains 59 different kinds of cards, and for each kind, there are 49 cards. How many total cards are there in this deck?
Claude-3 Sonnet:
To solve this problem, we need to find the product of the number of different kinds of cards and the number of cards for each kind. Given information: - The deck contains 59 different kinds of cards. - For each kind, there are 49 cards. Step 1: Find the total number of cards in the deck. Total number of cards = Number of different kinds of cards ร Number of cards for each kind Total number of cards = 59 ร 49 Step 2: Calculate the product. 59 ร 49 = 2,891 Therefore, there are 2,891 total cards in this deck. ### Answer: 2,891
Expected answer: 2891
Correct? Yes
Problem: After the manufacturer's initial count of the standard cards and the division of premium cards, they discover a miscalculation. Instead of 59 different kinds of cards in the deck, there are actually 90 kinds. If for each kind, there are still 59 cards, how many total standard cards are there in this deck?
Claude-3 Sonnet:
To solve this problem, we need to find the product of the number of different kinds of cards and the number of cards for each kind. Given information: - The deck contains 90 different kinds of cards. - For each kind, there are 59 cards. Step 1: Find the total number of cards in the deck. Total number of cards = Number of different kinds of cards ร Number of cards for each kind Total number of cards = 90 ร 59 Step 2: Calculate the product. 90 ร 59 = 5,310 Therefore, there are 5,310 total standard cards in this deck. ### Answer: 5,310
Expected answer: 5310
Correct? Yes
Problem: A farmer has a field where he grows grapevines. He has added 93 new vines to his field and 73 more after that. Unfortunately, 92 of the vines have died. How many vines does he have now?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of vines added and then subtract the number of vines that died. Given information: - The farmer added 93 new vines to his field. - The farmer added 73 more vines after that. - 92 vines have died. Step 1: Find the total number of vines added. Total vines added = 93 + 73 = 166 vines Step 2: Subtract the number of vines that died from the total vines added. Number of vines remaining = Total vines added - Number of vines died Number of vines remaining = 166 - 92 = 74 vines Therefore, the farmer has 74 vines now. ### Answer: 74
Expected answer: 74
Correct? Yes
Problem: The farmer reevaluates his count and realizes that he made a mistake in his initial counting. He actually added 65 new vines to his field, instead of 93, then added 73 more vines and had 92 vines die. How many grapevines does he have in his field now with this corrected count?
Claude-3 Sonnet:
Okay, let's recalculate with the corrected information. Given information: - The farmer added 65 new vines to his field initially. - The farmer added 73 more vines after that. - 92 vines have died. Step 1: Find the total number of vines added. Total vines added = 65 + 73 = 138 vines Step 2: Subtract the number of vines that died from the total vines added. Number of vines remaining = Total vines added - Number of vines died Number of vines remaining = 138 - 92 = 46 vines Therefore, with the corrected count, the farmer has 46 vines in his field now. ### Answer: 46
Expected answer: 46
Correct? Yes
Problem: A blanket factory makes 13 blankets in the morning and 81 in the afternoon, but returns 59 due to defects. Each blanket is sold at a price equal to 39 times the total number of good blankets they have, plus the number of good blankets. What's the total value of the blankets they've sold?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of good blankets and then use the given formula to calculate the total value of the blankets sold. Given information: - The factory makes 13 blankets in the morning. - The factory makes 81 blankets in the afternoon. - The factory returns 59 blankets due to defects. - Each blanket is sold at a price equal to 39 times the total number of good blankets, plus the number of good blankets. Step 1: Find the total number of blankets made. Total blankets made = Blankets made in the morning + Blankets made in the afternoon Total blankets made = 13 + 81 = 94 blankets Step 2: Find the number of good blankets. Number of good blankets = Total blankets made - Number of defective blankets Number of good blankets = 94 - 59 = 35 blankets Step 3: Calculate the price of each blanket using the given formula. Price of each blanket = 39 ร Total number of good blankets + Number of good blankets Price of each blanket = 39 ร 35 + 35 = 1400 Step 4: Calculate the total value of the blankets sold. Total value of blankets sold = Price of each blanket ร Number of good blankets Total value of blankets sold = 1400 ร 35 = 49,000 Therefore, the total value of the blankets sold by the factory is $49,000. ### Answer: 49000
Expected answer: 1400
Correct? No
Problem: A bus travels a distance of 1300 miles. If it does so in 20 equal stages, how many miles does the bus travel per stage?
Claude-3 Sonnet:
To solve this problem, we need to find the distance traveled in each stage by dividing the total distance by the number of stages. Given information: - The bus travels a total distance of 1300 miles. - The journey is divided into 20 equal stages. Step 1: Divide the total distance by the number of stages. Distance per stage = Total distance / Number of stages Distance per stage = 1300 miles / 20 stages Distance per stage = 65 miles Therefore, the bus travels 65 miles per stage. ### Answer: 65
Expected answer: 65
Correct? Yes
Problem: In our previous scenario, suppose instead of covering the distance in 20 equal stages, the bus decided to only stop 4 times, dividing the journey into equal parts. In that case, how many miles would the bus need to travel per stage?
Claude-3 Sonnet:
In this scenario, the bus will divide the total distance of 1300 miles into 4 equal parts or stages. Given information: - The bus travels a total distance of 1300 miles. - The journey is divided into 4 equal stages. Step 1: Divide the total distance by the number of stages. Distance per stage = Total distance / Number of stages Distance per stage = 1300 miles / 4 stages Distance per stage = 325 miles Therefore, if the bus divides the journey into 4 equal stages, it will need to travel 325 miles per stage. ### Answer: 325
Expected answer: 325
Correct? Yes
Problem: A region usually receives 53 inches of rain each year. However, in a certain year, it only received 7 inches less than the usual amount. How many inches of rain did it receive that year?
Claude-3 Sonnet:
To solve this problem, we need to find the amount of rain received in the given year by subtracting the deficit from the usual amount of rain. Given information: - The region usually receives 53 inches of rain each year. - In a certain year, the region received 7 inches less than the usual amount. Step 1: Find the deficit in the amount of rain received. Deficit in the amount of rain = 7 inches Step 2: Find the amount of rain received in the given year. Amount of rain received in the given year = Usual amount of rain - Deficit in the amount of rain Amount of rain received in the given year = 53 inches - 7 inches Amount of rain received in the given year = 46 inches Therefore, the region received 46 inches of rain in the given year. ### Answer: 46
Expected answer: 46
Correct? Yes
Problem: Suppose the region actually usually receives 69 inches of rain each year, instead of 53 as we previously thought. If it still received 7 inches less than the usual amount in the year we're considering, how many inches of rain did it receive that year?
Claude-3 Sonnet:
Okay, let's recalculate with the new information. Given information: - The region usually receives 69 inches of rain each year. - In the year we're considering, the region received 7 inches less than the usual amount. Step 1: Find the deficit in the amount of rain received. Deficit in the amount of rain = 7 inches Step 2: Find the amount of rain received in the given year. Amount of rain received in the given year = Usual amount of rain - Deficit in the amount of rain Amount of rain received in the given year = 69 inches - 7 inches Amount of rain received in the given year = 62 inches Therefore, with the updated information that the region usually receives 69 inches of rain each year, and it received 7 inches less than the usual amount in the year we're considering, the region received 62 inches of rain that year. ### Answer: 62
Expected answer: 62
Correct? Yes
Problem: In a complicated mechanical watch, there are 98 gears in the main mechanism and 61 gears in a side mechanism. After service, a watchmaker removed 80 gears from the watch. How many gears are there left in the watch now?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of gears in the watch initially and then subtract the number of gears removed during the service. Given information: - There are 98 gears in the main mechanism. - There are 61 gears in the side mechanism. - The watchmaker removed 80 gears from the watch during service. Step 1: Find the total number of gears in the watch initially. Total gears initially = Gears in the main mechanism + Gears in the side mechanism Total gears initially = 98 + 61 = 159 gears Step 2: Find the number of gears left in the watch after service. Number of gears left = Total gears initially - Number of gears removed Number of gears left = 159 - 80 = 79 gears Therefore, there are 79 gears left in the watch after the service. ### Answer: 79
Expected answer: 79
Correct? Yes
Problem: Originally, the watchmaker removed 80 gears from the watch, leaving a certain number of gears. But what if the watchmaker only removed 8 gears instead of 80 from the total of 98 gears in the main mechanism and 61 gears in a side mechanism? How many gears would remain in the watch?
Claude-3 Sonnet:
Okay, let's recalculate with the new information. Given information: - There are 98 gears in the main mechanism. - There are 61 gears in the side mechanism. - The watchmaker removed 8 gears from the watch during service. Step 1: Find the total number of gears in the watch initially. Total gears initially = Gears in the main mechanism + Gears in the side mechanism Total gears initially = 98 + 61 = 159 gears Step 2: Find the number of gears left in the watch after service. Number of gears left = Total gears initially - Number of gears removed Number of gears left = 159 - 8 = 151 gears Therefore, if the watchmaker removed only 8 gears instead of 80, there would be 151 gears remaining in the watch after the service. ### Answer: 151
Expected answer: 151
Correct? Yes
Problem: A company manufactures 1462 binoculars and distributes them equally among 43 stores. After subtracting 25 defective pieces from each store's stock, how many binoculars does each store end up with?
Claude-3 Sonnet:
To solve this problem, we need to find the number of binoculars each store initially received, and then subtract the number of defective pieces from that amount. Given information: - The company manufactures 1462 binoculars. - The binoculars are distributed equally among 43 stores. - 25 defective pieces are subtracted from each store's stock. Step 1: Find the number of binoculars each store initially received. Total number of binoculars / Number of stores = Number of binoculars per store 1462 binoculars / 43 stores = 34 binoculars per store Step 2: Subtract the number of defective pieces from the initial number of binoculars per store. Number of binoculars per store - Number of defective pieces = Final number of binoculars per store 34 binoculars - 25 defective pieces = 9 binoculars Therefore, after subtracting 25 defective pieces from each store's stock, each store ends up with 9 binoculars. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: In addition to the binoculars already distributed, each store received an additional shipment of binoculars from a second manufacturing facility. The second facility produced 4104 binoculars and divided them equally among 57 stores. After accounting for this additional shipment, how many binoculars does each store end up with in total?
Claude-3 Sonnet:
To solve this problem, we need to find the number of binoculars each store received from the second manufacturing facility, and then add it to the number of binoculars each store already had after subtracting the defective pieces. Given information: - The second manufacturing facility produced 4104 binoculars. - The 4104 binoculars were divided equally among 57 stores. - Each store initially had 9 binoculars after subtracting the defective pieces. Step 1: Find the number of binoculars each store received from the second manufacturing facility. Total number of binoculars from the second facility / Number of stores = Number of binoculars per store from the second facility 4104 binoculars / 57 stores = 72 binoculars per store from the second facility Step 2: Add the number of binoculars each store received from the second facility to the number of binoculars each store already had. Number of binoculars per store from the first facility + Number of binoculars per store from the second facility = Total number of binoculars per store 9 binoculars + 72 binoculars = 81 binoculars Therefore, after accounting for the additional shipment from the second manufacturing facility, each store ends up with a total of 81 binoculars. ### Answer: 81
Expected answer: 81
Correct? Yes
Problem: In a revision to the initial report, it turns out that 19 defective pieces were found in each store's binocular stock, rather than the originally believed 25. After making this correction, how many binoculars does each store end up with from the initial shipment?
Claude-3 Sonnet:
Okay, let's solve this problem with the updated information. Given information: - The company manufactures 1462 binoculars. - The binoculars are distributed equally among 43 stores. - 19 defective pieces are subtracted from each store's stock (instead of 25). Step 1: Find the number of binoculars each store initially received. Total number of binoculars / Number of stores = Number of binoculars per store 1462 binoculars / 43 stores = 34 binoculars per store Step 2: Subtract the number of defective pieces from the initial number of binoculars per store. Number of binoculars per store - Number of defective pieces = Final number of binoculars per store 34 binoculars - 19 defective pieces = 15 binoculars Therefore, after subtracting 19 defective pieces from each store's stock, each store ends up with 15 binoculars from the initial shipment. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: A camera shop stocks 25 DSLR cameras. They receive a delivery of 71 new DSLR cameras and for promotional reasons, the shop decides to multiply the total number of cameras by 77. How many cameras does the shop have for promotion?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of cameras the shop has after receiving the new delivery, and then multiply it by 77. Given information: - The shop initially had 25 DSLR cameras. - The shop received a delivery of 71 new DSLR cameras. - The shop decides to multiply the total number of cameras by 77 for promotional reasons. Step 1: Find the total number of cameras after receiving the new delivery. Total number of cameras = Initial number of cameras + Number of new cameras Total number of cameras = 25 + 71 = 96 cameras Step 2: Multiply the total number of cameras by 77 for promotional reasons. Number of cameras for promotion = Total number of cameras ร 77 Number of cameras for promotion = 96 ร 77 = 7,392 cameras Therefore, the shop has 7,392 cameras for promotion. ### Answer: 7,392
Expected answer: 7392
Correct? Yes
Problem: Following the previous scenario, let's revisit the promotional event. Suppose this time the shop had decided to multiply the total number of cameras by 56 instead of 77 after receiving the same initial stock of 71 new DSLR cameras. How many cameras would the shop have had for promotion in this case?
Claude-3 Sonnet:
In this scenario, we need to find the total number of cameras after receiving the new delivery, and then multiply it by 56 for the promotional event. Given information: - The shop initially had 25 DSLR cameras. - The shop received a delivery of 71 new DSLR cameras. - The shop decides to multiply the total number of cameras by 56 for promotional reasons. Step 1: Find the total number of cameras after receiving the new delivery. Total number of cameras = Initial number of cameras + Number of new cameras Total number of cameras = 25 + 71 = 96 cameras Step 2: Multiply the total number of cameras by 56 for promotional reasons. Number of cameras for promotion = Total number of cameras ร 56 Number of cameras for promotion = 96 ร 56 = 5,376 cameras Therefore, if the shop had decided to multiply the total number of cameras by 56 instead of 77, they would have had 5,376 cameras for promotion. ### Answer: 5,376
Expected answer: 5376
Correct? Yes
Problem: On average, a construction company can build 1425 square feet of a house in 19 days. If they worked for 14 days, how many square feet would they have built?
Claude-3 Sonnet:
To solve this problem, we need to find the rate at which the construction company builds the house per day, and then multiply it by the number of days they worked. Given information: - The construction company can build 1425 square feet of a house in 19 days. - They worked for 14 days. Step 1: Find the rate at which the construction company builds the house per day. Rate of construction per day = Total area built / Total number of days Rate of construction per day = 1425 square feet / 19 days Rate of construction per day = 75 square feet per day Step 2: Calculate the area built in 14 days. Area built in 14 days = Rate of construction per day ร Number of days worked Area built in 14 days = 75 square feet per day ร 14 days Area built in 14 days = 1050 square feet Therefore, the construction company would have built 1050 square feet of the house in 14 days. ### Answer: 1050
Expected answer: 1050
Correct? Yes
Problem: A farmer starts the day with 18 tomatoes in his basket. By midday, he manages to harvest some more, bringing the total to 18 + 82 tomatoes in the basket. Unfortunately, 37 of these tomatoes are deemed unsellable because they are not ripe enough. How many tomatoes does the farmer have left in the basket that are ready to sell?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of tomatoes in the basket after harvesting, and then subtract the number of unsellable tomatoes. Given information: - The farmer starts the day with 18 tomatoes in the basket. - After harvesting, the total number of tomatoes in the basket is 18 + 82 = 100 tomatoes. - 37 tomatoes are deemed unsellable because they are not ripe enough. Step 1: Find the total number of tomatoes in the basket after harvesting. Total tomatoes after harvesting = 18 + 82 = 100 tomatoes Step 2: Subtract the number of unsellable tomatoes from the total. Sellable tomatoes = Total tomatoes after harvesting - Unsellable tomatoes Sellable tomatoes = 100 - 37 = 63 tomatoes Therefore, the farmer has 63 tomatoes left in the basket that are ready to sell. ### Answer: 63
Expected answer: 63
Correct? Yes
Problem: In a similar situation as before, the farmer started his day with a different quantity of 95 tomatoes in his basket. Just like the previous day, by midday, he managed to harvest some more, bringing the total to 95 + 82 tomatoes in the basket. Unfortunately, he found that 37 of these tomatoes were not ripe enough to sell. How many ripe tomatoes did the farmer have left in his basket after this day?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of tomatoes in the basket after harvesting, and then subtract the number of unsellable tomatoes. Given information: - The farmer starts the day with 95 tomatoes in the basket. - After harvesting, the total number of tomatoes in the basket is 95 + 82 = 177 tomatoes. - 37 tomatoes are deemed unsellable because they are not ripe enough. Step 1: Find the total number of tomatoes in the basket after harvesting. Total tomatoes after harvesting = 95 + 82 = 177 tomatoes Step 2: Subtract the number of unsellable tomatoes from the total. Ripe tomatoes = Total tomatoes after harvesting - Unsellable tomatoes Ripe tomatoes = 177 - 37 = 140 tomatoes Therefore, the farmer had 140 ripe tomatoes left in his basket after this day. ### Answer: 140
Expected answer: 140
Correct? Yes
Problem: In a soap manufacturing factory, they create soap in large blocks that are then cut into smaller bars. If each large block can be cut into 1424 bars of soap, but they package the soap in bundles of 16 bars each, how many packages can they make from one large block of soap?
Claude-3 Sonnet:
To solve this problem, we need to find out how many bundles of 16 bars each can be made from one large block of soap that can be cut into 1424 bars. Given information: - One large block of soap can be cut into 1424 bars. - Each bundle contains 16 bars of soap. Step 1: Find the number of bundles that can be made from 1424 bars. Number of bundles = Total number of bars / Number of bars per bundle Number of bundles = 1424 bars / 16 bars per bundle Number of bundles = 89 bundles Therefore, from one large block of soap, the factory can make 89 packages of soap, with each package containing 16 bars of soap. ### Answer: 89
Expected answer: 89
Correct? Yes
Problem: Continuing from the initial situation in the soap manufacturing factory, suppose now they have decided to cut the large soap blocks into smaller bars such that each block can now be cut into 1424 bars of soap. However, this time they plan to package the soap in bundles of 36 bars each instead of 16. How many packages can they make from one large block of soap under this new arrangement?
Claude-3 Sonnet:
In this new scenario, we need to find out how many bundles of 36 bars each can be made from one large block of soap that can be cut into 1424 bars. Given information: - One large block of soap can be cut into 1424 bars. - Each bundle now contains 36 bars of soap. Step 1: Find the number of bundles that can be made from 1424 bars. Number of bundles = Total number of bars / Number of bars per bundle Number of bundles = 1424 bars / 36 bars per bundle Number of bundles = 39.5556 bundles Since we cannot have a fractional number of bundles, we need to round down to the nearest whole number. Number of bundles = 39 bundles Therefore, from one large block of soap, the factory can make 39 packages of soap, with each package containing 36 bars of soap. ### Answer: 39
Expected answer: 356/9
Correct? No
Problem: A printer prints 2 sheets of paper with 37 letters each second. If it continues to print at this rate for 95 seconds, how many letters will be printed?
Claude-3 Sonnet:
To solve this problem, we need to find the number of letters printed per second and then multiply it by the number of seconds the printer will be running. Given information: - The printer prints 2 sheets of paper with 37 letters each second. - The printer will continue to print at this rate for 95 seconds. Step 1: Find the number of letters printed per second. Number of letters printed per second = Number of sheets ร Number of letters per sheet Number of letters printed per second = 2 ร 37 = 74 letters Step 2: Find the total number of letters printed in 95 seconds. Total number of letters printed = Number of letters printed per second ร Number of seconds Total number of letters printed = 74 letters ร 95 seconds Total number of letters printed = 7,030 letters Therefore, if the printer continues to print at the rate of 2 sheets with 37 letters each second for 95 seconds, it will print a total of 7,030 letters. ### Answer: 7030
Expected answer: 7030
Correct? Yes
Problem: Continuing from the previous scenario, what if the printer only printed 2 sheets of paper with 4 letters each second instead of 37. Keeping the same printing duration of 95 seconds, how many letters would have been printed then?
Claude-3 Sonnet:
Okay, let's solve this problem with the new information. Given information: - The printer prints 2 sheets of paper with 4 letters each second. - The printer will continue to print at this rate for 95 seconds. Step 1: Find the number of letters printed per second. Number of letters printed per second = Number of sheets ร Number of letters per sheet Number of letters printed per second = 2 ร 4 = 8 letters Step 2: Find the total number of letters printed in 95 seconds. Total number of letters printed = Number of letters printed per second ร Number of seconds Total number of letters printed = 8 letters ร 95 seconds Total number of letters printed = 760 letters Therefore, if the printer prints 2 sheets of paper with 4 letters each second for 95 seconds, it will print a total of 760 letters. ### Answer: 760
Expected answer: 760
Correct? Yes
Problem: A potato farm produces 12 tons of potatoes per acre. They have a 3 acre plot of land which they use for growing potatoes. After the harvest, they found out that 71 tons were rotten, but they could salvage 44 tons. How many tons of potatoes do they have left?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of potatoes produced and then subtract the rotten potatoes from it. Given information: - The potato farm produces 12 tons of potatoes per acre. - They have a 3-acre plot of land for growing potatoes. - 71 tons of potatoes were rotten. - They could salvage 44 tons of potatoes. Step 1: Find the total number of potatoes produced. Total potatoes produced = Potatoes produced per acre ร Number of acres Total potatoes produced = 12 tons/acre ร 3 acres Total potatoes produced = 36 tons Step 2: Find the number of potatoes left after subtracting the rotten potatoes and adding the salvaged potatoes. Potatoes left = Total potatoes produced - Rotten potatoes + Salvaged potatoes Potatoes left = 36 tons - 71 tons + 44 tons Potatoes left = 9 tons Therefore, the potato farm has 9 tons of potatoes left after the harvest. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: If the potato farm had initially produced 56 tons of potatoes per acre instead of 12, how many tons of potatoes would they have left after considering the rotten and salvageable ones?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of potatoes produced with the new production rate and then subtract the rotten potatoes from it and add the salvaged potatoes. Given information: - The potato farm produces 56 tons of potatoes per acre (new production rate). - They have a 3-acre plot of land for growing potatoes. - 71 tons of potatoes were rotten. - They could salvage 44 tons of potatoes. Step 1: Find the total number of potatoes produced with the new production rate. Total potatoes produced = Potatoes produced per acre ร Number of acres Total potatoes produced = 56 tons/acre ร 3 acres Total potatoes produced = 168 tons Step 2: Find the number of potatoes left after subtracting the rotten potatoes and adding the salvaged potatoes. Potatoes left = Total potatoes produced - Rotten potatoes + Salvaged potatoes Potatoes left = 168 tons - 71 tons + 44 tons Potatoes left = 141 tons Therefore, if the potato farm had initially produced 56 tons of potatoes per acre, they would have 141 tons of potatoes left after considering the rotten and salvageable ones. ### Answer: 141
Expected answer: 141
Correct? Yes
Problem: A plane travels around the world, covering a distance of 360,000 miles. If it covers 72,000 miles per day, how many days does it take for the plane to travel around the world?
Claude-3 Sonnet:
To solve this problem, we need to find the number of days it takes for the plane to cover the distance of 360,000 miles, given that it travels 72,000 miles per day. Given information: - The plane travels around the world, covering a distance of 360,000 miles. - The plane covers 72,000 miles per day. Step 1: Find the number of days by dividing the total distance by the distance covered per day. Number of days = Total distance / Distance covered per day Number of days = 360,000 miles / 72,000 miles per day Number of days = 5 days Therefore, it takes the plane 5 days to travel around the world, covering a distance of 360,000 miles at a rate of 72,000 miles per day. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: After reviewing the plane's logbook, the crew realizes there was a mistake in their calculations. Instead of covering 360,000 miles to travel around the world, it actually only took them 81,000 miles. Given this, how many days would it have taken them to travel around the world at a rate of 72,000 miles per day?
Claude-3 Sonnet:
To solve this problem, we need to find the number of days it takes for the plane to cover the distance of 81,000 miles, given that it travels 72,000 miles per day. Given information: - The plane travels around the world, covering a distance of 81,000 miles. - The plane covers 72,000 miles per day. Step 1: Find the number of days by dividing the total distance by the distance covered per day. Number of days = Total distance / Distance covered per day Number of days = 81,000 miles / 72,000 miles per day Number of days = 1.125 days Since we cannot have a fractional day, we need to round up to the nearest whole number. Number of days = 2 days Therefore, it would have taken the plane 2 days to travel around the world, covering a distance of 81,000 miles at a rate of 72,000 miles per day. ### Answer: 2
Expected answer: 9/8
Correct? No
Problem: A fairy sprinkles magical dust at a rate of 4332 milligrams every 76 minutes. If she reduces her sprinkling rate by 44 milligrams and continues at this reduced rate for 52 minutes, how much magical dust will she sprinkle in that time?
Claude-3 Sonnet:
To solve this problem, we need to find the reduced rate of sprinkling magical dust and then calculate the amount of magical dust sprinkled in 52 minutes. Given information: - The initial rate of sprinkling magical dust is 4332 milligrams every 76 minutes. - The rate is reduced by 44 milligrams. - The reduced rate is maintained for 52 minutes. Step 1: Find the initial rate of sprinkling magical dust per minute. Initial rate per minute = 4332 milligrams / 76 minutes Initial rate per minute = 57 milligrams per minute Step 2: Find the reduced rate of sprinkling magical dust per minute. Reduced rate per minute = Initial rate per minute - Rate reduction Reduced rate per minute = 57 milligrams per minute - 44 milligrams per 76 minutes Reduced rate per minute = 57 milligrams per minute - (44 milligrams / 76 minutes) Reduced rate per minute = 57 milligrams per minute - 0.579 milligrams per minute Reduced rate per minute = 56.421 milligrams per minute Step 3: Calculate the amount of magical dust sprinkled in 52 minutes at the reduced rate. Amount of magical dust sprinkled = Reduced rate per minute ร Time in minutes Amount of magical dust sprinkled = 56.421 milligrams per minute ร 52 minutes Amount of magical dust sprinkled = 2933.892 milligrams ### Answer: 2933.892
Expected answer: 676
Correct? No
Problem: At the start of the camping trip, there were 56 logs to fuel the campfire. But after some time, the campers had used up 15 logs. How many logs are left for the rest of the trip?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of logs and the number of logs used. Given information: - There were 56 logs at the start of the camping trip. - The campers used up 15 logs. Step 1: Find the number of logs remaining. Number of logs remaining = Initial number of logs - Number of logs used Number of logs remaining = 56 - 15 Number of logs remaining = 41 Therefore, there are 41 logs left for the rest of the trip. ### Answer: 41
Expected answer: 41
Correct? Yes
Problem: After re-counting the initial logs at the start of the camping trip, there were actually 48 logs, not 56. After using up 15 logs, with this new count, how many logs are now left for the rest of the trip?
Claude-3 Sonnet:
Okay, let's recalculate with the updated information. Given information: - There were 48 logs at the start of the camping trip (not 56). - The campers used up 15 logs. Step 1: Find the number of logs remaining. Number of logs remaining = Initial number of logs - Number of logs used Number of logs remaining = 48 - 15 Number of logs remaining = 33 Therefore, with the updated initial count of 48 logs, and after using up 15 logs, there are 33 logs left for the rest of the trip. ### Answer: 33
Expected answer: 33
Correct? Yes
Problem: John took 30 pictures with his new camera, but then he accidentally deleted 81 pictures. Fortunately, he was able to recover 61 of the deleted pictures. How many pictures does he have now?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of pictures John had initially, and then subtract the number of pictures that were permanently deleted. Given information: - John took 30 pictures with his new camera. - He accidentally deleted 81 pictures. - He was able to recover 61 of the deleted pictures. Step 1: Find the number of pictures that were permanently deleted. Number of pictures permanently deleted = Total number of pictures deleted - Number of pictures recovered Number of pictures permanently deleted = 81 - 61 = 20 pictures Step 2: Find the total number of pictures John has now. Total number of pictures now = Initial number of pictures - Number of pictures permanently deleted Total number of pictures now = 30 - 20 = 10 pictures Therefore, John has 10 pictures now. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: In the previous scenario, let's consider that instead of taking 30 pictures, John only took 21 pictures with his new camera before accidentally deleting 81 pictures. Like before, he was able to recover 61 of those deleted pictures. How many pictures does he have now?
Claude-3 Sonnet:
Okay, let's solve this problem with the updated information. Given information: - John took 21 pictures with his new camera. - He accidentally deleted 81 pictures. - He was able to recover 61 of the deleted pictures. Step 1: Find the number of pictures that were permanently deleted. Number of pictures permanently deleted = Total number of pictures deleted - Number of pictures recovered Number of pictures permanently deleted = 81 - 61 = 20 pictures Step 2: Find the total number of pictures John has now. Total number of pictures now = Initial number of pictures - Number of pictures permanently deleted Total number of pictures now = 21 - 20 = 1 picture Therefore, with the updated information, John has 1 picture now. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: A tailor uses 20 square feet of fabric to make one teddy bear. If they use the same amount of fabric for every teddy bear, how much fabric will they need to make 20 teddy bears?
Claude-3 Sonnet:
To solve this problem, we need to find the amount of fabric required for one teddy bear and then multiply it by the number of teddy bears to be made. Given information: - The tailor uses 20 square feet of fabric to make one teddy bear. - The tailor needs to make 20 teddy bears. Step 1: Find the amount of fabric required for one teddy bear. Amount of fabric required for one teddy bear = 20 square feet Step 2: Find the amount of fabric required for 20 teddy bears. Amount of fabric required for 20 teddy bears = Amount of fabric required for one teddy bear ร Number of teddy bears Amount of fabric required for 20 teddy bears = 20 square feet ร 20 Amount of fabric required for 20 teddy bears = 400 square feet Therefore, the tailor will need 400 square feet of fabric to make 20 teddy bears. ### Answer: 400
Expected answer: 400
Correct? Yes
Problem: If each pair of binoculars costs $27 and a store adds a tax of $9 after buying 23 pairs, how much will the total cost be?
Claude-3 Sonnet:
To solve this problem, we need to find the cost of the binoculars without tax and then add the tax to it. Given information: - Cost of each pair of binoculars = $27 - Number of pairs of binoculars bought = 23 - Tax added after buying = $9 Step 1: Find the cost of the binoculars without tax. Cost of binoculars without tax = Cost of each pair ร Number of pairs Cost of binoculars without tax = $27 ร 23 Cost of binoculars without tax = $621 Step 2: Find the total cost by adding the tax to the cost of binoculars without tax. Total cost = Cost of binoculars without tax + Tax Total cost = $621 + $9 Total cost = $630 Therefore, the total cost of buying 23 pairs of binoculars with a tax of $9 added after buying is $630. ### Answer: 630
Expected answer: 630
Correct? Yes
Problem: After paying the tax and buying the 23 pairs of binoculars, the store owner decides to purchase an additional single pair of binoculars that has a discount of $95. What is the total amount the store owner will need to pay now?
Claude-3 Sonnet:
To solve this problem, we need to find the total cost of the 23 pairs of binoculars with tax, and then add the cost of the additional pair of binoculars after applying the discount. Given information: - Total cost of 23 pairs of binoculars with tax = $630 - Cost of each pair of binoculars = $27 - Discount on the additional pair of binoculars = $95 Step 1: Find the cost of the additional pair of binoculars after applying the discount. Cost of the additional pair of binoculars after discount = Cost of each pair - Discount Cost of the additional pair of binoculars after discount = $27 - $95 Cost of the additional pair of binoculars after discount = -$68 Note: The negative value indicates that the store owner will receive a credit of $68 for the additional pair of binoculars. Step 2: Find the total amount the store owner needs to pay by subtracting the credit from the total cost of the 23 pairs of binoculars with tax. Total amount to pay = Total cost of 23 pairs of binoculars with tax - Credit for the additional pair Total amount to pay = $630 - $68 Total amount to pay = $562 Therefore, the total amount the store owner needs to pay after purchasing the additional pair of binoculars with a discount of $95 is $562. ### Answer: 562
Expected answer: 562
Correct? Yes
Problem: After the store owner's last transaction, a new shipment of binoculars came in with a lower price. This time, each pair costs $27 and there's a fixed tax of $9. If the store owner decides to buy 13 pairs from the new shipment, how much would the total cost be now?
Claude-3 Sonnet:
To solve this problem, we need to find the cost of the binoculars without tax and then add the tax to it. Given information: - Cost of each pair of binoculars = $27 - Number of pairs of binoculars bought = 13 - Fixed tax = $9 Step 1: Find the cost of the binoculars without tax. Cost of binoculars without tax = Cost of each pair ร Number of pairs Cost of binoculars without tax = $27 ร 13 Cost of binoculars without tax = $351 Step 2: Find the total cost by adding the tax to the cost of binoculars without tax. Total cost = Cost of binoculars without tax + Tax Total cost = $351 + $9 Total cost = $360 Therefore, the total cost of buying 13 pairs of binoculars with a fixed tax of $9 is $360. ### Answer: 360
Expected answer: 360
Correct? Yes
Problem: A pirate found 22 gold coins on an island. On his ship, he remembered that he had found 91 gold coins on another island, and 33 gold coins hidden in a chest. How many gold coins does the pirate have in total?
Claude-3 Sonnet:
To solve this problem, we need to add the number of gold coins the pirate found on the island, on his ship, and in the chest. Given information: - The pirate found 22 gold coins on an island. - The pirate found 91 gold coins on another island (on his ship). - The pirate found 33 gold coins hidden in a chest. Step 1: Add the number of gold coins found on the island, on the ship, and in the chest. Number of gold coins found on the island + Number of gold coins found on the ship + Number of gold coins found in the chest = Total number of gold coins 22 + 91 + 33 = 146 Therefore, the pirate has a total of 146 gold coins. ### Answer: 146
Expected answer: 146
Correct? Yes
Problem: Following on from the previous problem: The pirate made a mistake while counting his treasure. He originally thought that he had found 91 gold coins on another island, but it turned out there were only 9 gold coins. With the 22 coins he found on an island, 9 on another island, and 33 hidden in a chest, how many coins does the pirate have now?
Claude-3 Sonnet:
To solve this problem, we need to recalculate the total number of gold coins the pirate has, considering the correction in the number of gold coins found on another island. Given information: - The pirate found 22 gold coins on an island. - The pirate found 9 gold coins on another island (corrected from 91). - The pirate found 33 gold coins hidden in a chest. Step 1: Add the number of gold coins found on the island, on another island, and in the chest. Number of gold coins found on the island + Number of gold coins found on another island + Number of gold coins found in the chest = Total number of gold coins 22 + 9 + 33 = 64 Therefore, with the correction, the pirate has a total of 64 gold coins. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: A magical unicorn has (54 - 24) + 25 numbers of rainbow apples. If each rainbow apple can be traded for 51 sparkly diamonds, how many sparkly diamonds can the unicorn get in return?
Claude-3 Sonnet:
To solve this problem, we need to find the number of rainbow apples the unicorn has and then multiply it by the number of sparkly diamonds each apple can be traded for. Given information: - The unicorn has (54 - 24) + 25 rainbow apples. - Each rainbow apple can be traded for 51 sparkly diamonds. Step 1: Find the number of rainbow apples the unicorn has. (54 - 24) + 25 = 30 + 25 = 55 rainbow apples Step 2: Calculate the number of sparkly diamonds the unicorn can get in return. Number of sparkly diamonds = Number of rainbow apples ร Number of sparkly diamonds per apple Number of sparkly diamonds = 55 ร 51 = 2,805 sparkly diamonds Therefore, the unicorn can get 2,805 sparkly diamonds in return for its rainbow apples. ### Answer: 2,805
Expected answer: 2805
Correct? Yes
Problem: After trading all of her rainbow apples, the magical unicorn decided to use some of her sparkly diamonds. She gave away 40 diamonds to her unicorn friend and another 12 diamonds to a fairy. How many sparkly diamonds does the unicorn have left?
Claude-3 Sonnet:
To solve this problem, we need to find the number of sparkly diamonds the unicorn had initially and then subtract the number of diamonds she gave away. Given information: - The unicorn had 2,805 sparkly diamonds after trading her rainbow apples. - The unicorn gave away 40 diamonds to her unicorn friend. - The unicorn gave away 12 diamonds to a fairy. Step 1: Find the total number of diamonds the unicorn gave away. Diamonds given away = Diamonds given to unicorn friend + Diamonds given to fairy Diamonds given away = 40 + 12 = 52 diamonds Step 2: Calculate the number of sparkly diamonds the unicorn has left. Sparkly diamonds left = Initial number of sparkly diamonds - Diamonds given away Sparkly diamonds left = 2,805 - 52 = 2,753 sparkly diamonds Therefore, the unicorn has 2,753 sparkly diamonds left after giving away diamonds to her friend and the fairy. ### Answer: 2,753
Expected answer: 2753
Correct? Yes
Problem: Suppose instead of having (54 - 24) + 25 rainbow apples, the magical unicorn actually had (54 - 24) + 38 rainbow apples. If she can still trade each rainbow apple for 51 sparkly diamonds, how many sparkly diamonds would she have received?
Claude-3 Sonnet:
Okay, let's solve this problem with the updated information. Given information: - The unicorn has (54 - 24) + 38 rainbow apples. - Each rainbow apple can be traded for 51 sparkly diamonds. Step 1: Find the number of rainbow apples the unicorn has. (54 - 24) + 38 = 30 + 38 = 68 rainbow apples Step 2: Calculate the number of sparkly diamonds the unicorn can get in return. Number of sparkly diamonds = Number of rainbow apples ร Number of sparkly diamonds per apple Number of sparkly diamonds = 68 ร 51 = 3,468 sparkly diamonds Therefore, with (54 - 24) + 38 rainbow apples, the unicorn can get 3,468 sparkly diamonds in return. ### Answer: 3,468
Expected answer: 3468
Correct? Yes
Problem: A phone manufacturer is capable of producing 990 phones every 22 hours. After 33 hours, they add an additional 13 phones to the production batch. How many phones are produced in total at this time?
Claude-3 Sonnet:
To solve this problem, we need to find the number of phones produced in the first 33 hours and then add the additional 13 phones. Given information: - The manufacturer can produce 990 phones every 22 hours. - After 33 hours, they add an additional 13 phones to the production batch. Step 1: Find the number of complete 22-hour cycles in 33 hours. Number of complete 22-hour cycles = 33 hours / 22 hours = 1.5 cycles Step 2: Find the number of phones produced in the first 33 hours. Number of phones produced in the first 33 hours = Number of complete 22-hour cycles ร 990 phones Number of phones produced in the first 33 hours = 1.5 ร 990 = 1485 phones Step 3: Add the additional 13 phones to the production batch. Total number of phones produced = Number of phones produced in the first 33 hours + Additional phones Total number of phones produced = 1485 + 13 = 1498 phones Therefore, the total number of phones produced at this time is 1498. ### Answer: 1498
Expected answer: 1498
Correct? Yes
Problem: In our previous scenario, instead of adding 13 phones, suppose the phone manufacturer adds an additional 80 phones after producing phones for 33 hours. How many phones are produced in total at this time now?
Claude-3 Sonnet:
In this new scenario, the phone manufacturer adds an additional 80 phones after producing phones for 33 hours. Given information: - The manufacturer can produce 990 phones every 22 hours. - After 33 hours, they add an additional 80 phones to the production batch. Step 1: Find the number of complete 22-hour cycles in 33 hours. Number of complete 22-hour cycles = 33 hours / 22 hours = 1.5 cycles Step 2: Find the number of phones produced in the first 33 hours. Number of phones produced in the first 33 hours = Number of complete 22-hour cycles ร 990 phones Number of phones produced in the first 33 hours = 1.5 ร 990 = 1485 phones Step 3: Add the additional 80 phones to the production batch. Total number of phones produced = Number of phones produced in the first 33 hours + Additional phones Total number of phones produced = 1485 + 80 = 1565 phones Therefore, with the addition of 80 phones after producing phones for 33 hours, the total number of phones produced at this time is 1565. ### Answer: 1565
Expected answer: 1565
Correct? Yes
Problem: A tall building has 704 windows in total. If each floor has the same number of windows and the building is 8 floors high, how many windows are there on each floor?
Claude-3 Sonnet:
To solve this problem, we need to find the number of windows on each floor by dividing the total number of windows by the number of floors. Given information: - The tall building has 704 windows in total. - The building is 8 floors high. - Each floor has the same number of windows. Step 1: Divide the total number of windows by the number of floors to find the number of windows on each floor. Number of windows on each floor = Total number of windows / Number of floors Number of windows on each floor = 704 / 8 Number of windows on each floor = 88 Therefore, there are 88 windows on each floor of the building. ### Answer: 88
Expected answer: 88
Correct? Yes
Problem: After figuring out the total number of windows the maintenance team cleaned in a day, let's consider a different scenario. What if the building had originally been built with 704 windows spread over 71 floors instead of 8? How many windows would there be on each floor then?
Claude-3 Sonnet:
Okay, let's consider the new scenario where the building has 704 windows spread over 71 floors. Given information: - The building has 704 windows in total. - The building has 71 floors. - Each floor has the same number of windows. To find the number of windows on each floor, we need to divide the total number of windows by the number of floors. Step 1: Divide the total number of windows by the number of floors. Number of windows on each floor = Total number of windows / Number of floors Number of windows on each floor = 704 / 71 Number of windows on each floor = 9.92 (rounded down to 9) Therefore, if the building had 704 windows spread over 71 floors, there would be 9 windows on each floor. ### Answer: 9
Expected answer: 704/71
Correct? No
Problem: In a small town, each household owns an average of 77 cats. If there are 69 households in the town, how many cats are there in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of cats in the town by multiplying the average number of cats per household by the number of households. Given information: - Each household owns an average of 77 cats. - There are 69 households in the town. Step 1: Find the total number of cats in the town. Total number of cats = Average number of cats per household ร Number of households Total number of cats = 77 ร 69 Step 2: Calculate the total number of cats. Total number of cats = 77 ร 69 Total number of cats = 5,313 Therefore, there are 5,313 cats in total in the town. ### Answer: 5,313
Expected answer: 5313
Correct? Yes
Problem: In a small town, each household owns an average of 77 cats. If there are 69 households in the town, there would be a certain number of cats in total. However, due to some circumstances, 91 of these cats had to be moved to another town. How many cats are left in the town now?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of cats in the town initially, and then subtract the number of cats that were moved to another town. Given information: - Each household owns an average of 77 cats. - There are 69 households in the town. - 91 cats were moved to another town. Step 1: Find the total number of cats in the town initially. Total number of cats initially = Average number of cats per household ร Number of households Total number of cats initially = 77 ร 69 = 5,313 Step 2: Subtract the number of cats that were moved to another town. Number of cats left in the town = Total number of cats initially - Number of cats moved Number of cats left in the town = 5,313 - 91 = 5,222 Therefore, there are 5,222 cats left in the town now. ### Answer: 5,222
Expected answer: 5222
Correct? Yes
Problem: A chocolate bar factory has 28 machines running every day. If 2 machines break down and stop producing, how many machines are still producing chocolate bars?
Claude-3 Sonnet:
To solve this problem, we need to find the number of machines that are still producing chocolate bars after 2 machines break down. Given information: - The chocolate bar factory has 28 machines running every day. - 2 machines break down and stop producing. Step 1: Find the number of machines that are still producing chocolate bars. Number of machines still producing = Total number of machines - Number of machines that broke down Number of machines still producing = 28 - 2 Number of machines still producing = 26 Therefore, after 2 machines break down, there are 26 machines still producing chocolate bars. ### Answer: 26
Expected answer: 26
Correct? Yes
Problem: Originally, the chocolate bar factory had 87 machines running every day instead of 28. If 2 of the machines break down, as it happened in the previous scenario, how many machines would still be producing chocolate bars?
Claude-3 Sonnet:
To solve this problem, we need to find the number of machines that are still producing chocolate bars after 2 machines break down, given that the factory originally had 87 machines running every day. Given information: - The chocolate bar factory originally had 87 machines running every day. - 2 machines break down and stop producing. Step 1: Find the number of machines that are still producing chocolate bars. Number of machines still producing = Total number of machines - Number of machines that broke down Number of machines still producing = 87 - 2 Number of machines still producing = 85 Therefore, if the chocolate bar factory originally had 87 machines running every day and 2 machines break down, there would be 85 machines still producing chocolate bars. ### Answer: 85
Expected answer: 85
Correct? Yes
Problem: A candlemaker has 37 lavender-scented candles and makes 10 more. He then makes another 24 candles, combines them with the ones he already has, and finally adds 6 vanilla-scented candles to his collection. How many candles does he have in total?
Claude-3 Sonnet:
To solve this problem, we need to follow the given information step-by-step and keep track of the number of candles the candlemaker has. Given information: - The candlemaker initially has 37 lavender-scented candles. - He makes 10 more candles (scent not specified). - He then makes another 24 candles (scent not specified). - He combines the newly made candles with the ones he already has. - Finally, he adds 6 vanilla-scented candles to his collection. Step 1: Find the total number of candles after making the first 10 candles. Initial number of candles + Newly made candles = Total candles 37 + 10 = 47 candles Step 2: Find the total number of candles after making the additional 24 candles. Total candles from Step 1 + Newly made candles = Total candles 47 + 24 = 71 candles Step 3: Find the total number of candles after adding the 6 vanilla-scented candles. Total candles from Step 2 + Vanilla-scented candles = Total candles 71 + 6 = 77 candles Therefore, the candlemaker has a total of 77 candles in his collection. ### Answer: 77
Expected answer: 77
Correct? Yes
Problem: After creating and combining his different candle types, the candlemaker's friend gifted him an additional 7 candles they made. Now, how many candles does the candlemaker have in total?
Claude-3 Sonnet:
Okay, let's continue from the previous problem. Given information: - The candlemaker initially had 77 candles after combining all the candles he made and adding the vanilla-scented candles. - His friend gifted him an additional 7 candles. To find the total number of candles the candlemaker has now, we need to add the number of candles he already had to the number of candles his friend gifted him. Step 1: Find the total number of candles after receiving the gift from his friend. Total candles the candlemaker had + Candles gifted by his friend = Total candles now 77 + 7 = 84 candles Therefore, after receiving the gift of 7 candles from his friend, the candlemaker now has a total of 84 candles. ### Answer: 84
Expected answer: 84
Correct? Yes
Problem: The candlemaker originally thought he had made 6 vanilla-scented candles, but he actually made 8 instead. Given this correction, with everything else the same, how many candles does the candlemaker have in total now?
Claude-3 Sonnet:
Okay, let's revisit the problem with the updated information. Given information: - The candlemaker initially has 37 lavender-scented candles. - He makes 10 more candles (scent not specified). - He then makes another 24 candles (scent not specified). - He combines the newly made candles with the ones he already has. - He adds 8 vanilla-scented candles to his collection instead of 6. Step 1: Find the total number of candles after making the first 10 candles. Initial number of candles + Newly made candles = Total candles 37 + 10 = 47 candles Step 2: Find the total number of candles after making the additional 24 candles. Total candles from Step 1 + Newly made candles = Total candles 47 + 24 = 71 candles Step 3: Find the total number of candles after adding the 8 vanilla-scented candles. Total candles from Step 2 + Vanilla-scented candles = Total candles 71 + 8 = 79 candles Therefore, with the correction that the candlemaker made 8 vanilla-scented candles instead of 6, he now has a total of 79 candles in his collection. ### Answer: 79
Expected answer: 79
Correct? Yes
Problem: What is the result of adding the numbers 12, 4, and 71 together?
Claude-3 Sonnet:
To find the result of adding the numbers 12, 4, and 71 together, we need to perform the following calculation: 12 + 4 + 71 We can add these numbers in any order, as addition is commutative. 12 + 4 = 16 16 + 71 = 87 Therefore, the result of adding the numbers 12, 4, and 71 together is 87. ### Answer: 87
Expected answer: 87
Correct? Yes
Problem: After finding the sum of 12, 4, and 71, add 15 to the result. What is the new total?
Claude-3 Sonnet:
Okay, let's solve this step-by-step: First, we need to find the sum of 12, 4, and 71: 12 + 4 + 71 = 87 Now, we need to add 15 to this result: 87 + 15 = 102 Therefore, after finding the sum of 12, 4, and 71, and then adding 15 to the result, the new total is 102. ### Answer: 102
Expected answer: 102
Correct? Yes
Problem: Imagine that initially instead of 12, you started with 53. Now, what would be the result of adding the numbers 53, 4, and 71 together?
Claude-3 Sonnet:
Okay, let's recalculate with the new number 53 instead of 12. We need to find the result of adding 53, 4, and 71 together. 53 + 4 = 57 57 + 71 = 128 Therefore, the result of adding the numbers 53, 4, and 71 together is 128. ### Answer: 128
Expected answer: 128
Correct? Yes
Problem: John's cucumber plant produces 59 cucumbers. Mary's cucumber plant, on the other hand, produces as many cucumbers as John's but minus the difference between John's cucumbers and 9. How many cucumbers did Mary's plant produce?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between John's cucumbers and 9, and then subtract that difference from John's cucumbers. Given information: - John's cucumber plant produces 59 cucumbers. - Mary's cucumber plant produces as many cucumbers as John's, minus the difference between John's cucumbers and 9. Step 1: Find the difference between John's cucumbers and 9. Difference between John's cucumbers and 9 = 59 - 9 = 50 Step 2: Subtract the difference from John's cucumbers to find the number of cucumbers Mary's plant produced. Mary's cucumbers = John's cucumbers - Difference Mary's cucumbers = 59 - 50 = 9 Therefore, Mary's cucumber plant produced 9 cucumbers. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: Following up on the previous situation, suppose Sarah takes Mary's cucumber count and adds to it the sum of 54 and 3 cucumbers that she already had before. How many cucumbers does Sarah have now?
Claude-3 Sonnet:
In the previous problem, we found that Mary's cucumber plant produced 9 cucumbers. Given information: - Mary's cucumber plant produced 9 cucumbers. - Sarah already had 54 + 3 = 57 cucumbers before. - Sarah takes Mary's cucumber count and adds it to the cucumbers she already had. To find the total number of cucumbers Sarah has now, we need to add Mary's cucumber count to the cucumbers Sarah already had. Step 1: Find the total number of cucumbers Sarah had before taking Mary's cucumber count. Sarah's initial cucumbers = 54 + 3 = 57 cucumbers Step 2: Add Mary's cucumber count to Sarah's initial cucumbers. Sarah's total cucumbers = Sarah's initial cucumbers + Mary's cucumber count Sarah's total cucumbers = 57 + 9 = 66 cucumbers Therefore, Sarah has 66 cucumbers now. ### Answer: 66
Expected answer: 66
Correct? Yes
Problem: Following up on the previous situation with John and Mary, suppose now that Mary's cucumber plant produces as many cucumbers as John's but minus the difference between John's cucumbers and 73. How many cucumbers did Mary's plant produce this time?
Claude-3 Sonnet:
Okay, let's solve this problem. Given information: - John's cucumber plant produces 59 cucumbers. - Mary's cucumber plant produces as many cucumbers as John's, but minus the difference between John's cucumbers and 73. Step 1: Find the difference between John's cucumbers and 73. Difference between John's cucumbers and 73 = 73 - 59 = 14 Step 2: Subtract the difference from John's cucumbers to find the number of cucumbers Mary's plant produced. Mary's cucumbers = John's cucumbers - Difference Mary's cucumbers = 59 - 14 = 45 Therefore, Mary's cucumber plant produced 45 cucumbers. ### Answer: 45
Expected answer: 73
Correct? No
Problem: A puzzle game requires 3795 points to complete a level, but a player can only gain points in increments of 69. How many increments are needed to gain the points required to complete the level?
Claude-3 Sonnet:
To solve this problem, we need to find how many times 69 goes into 3795. We can do this by dividing 3795 by 69: 3795 รท 69 = 55 This means that 55 increments of 69 points will give us 55 ร 69 = 3795 points. Therefore, the number of increments needed to gain the required 3795 points is 55. ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: In the same puzzle game, consider that to complete a level, a player now requires 3795 points but the points are gained in increments of 19 instead of 69. How many increments of 19 points are now needed to gather the required points to complete the level?
Claude-3 Sonnet:
To solve this problem, we need to find how many times 19 goes into 3795. We can do this by dividing 3795 by 19: 3795 รท 19 = 199.73684210526315 Since we cannot have a fractional number of increments, we need to round up to the nearest whole number. 199.73684210526315 rounded up to the nearest whole number is 200. Therefore, the number of increments of 19 points needed to gain the required 3795 points is 200. ### Answer: 200
Expected answer: 3795/19
Correct? No
Problem: A pirate found a treasure chest with 35 gemstones each worth 57 gold coins. The chest also had an additional 42 gold coins. How many gold coins is the total worth of the treasure chest?
Claude-3 Sonnet:
To solve this problem, we need to find the total value of the gemstones and the additional gold coins in the treasure chest. Given information: - The treasure chest has 35 gemstones. - Each gemstone is worth 57 gold coins. - The treasure chest has an additional 42 gold coins. Step 1: Find the total value of the gemstones. Value of each gemstone = 57 gold coins Total value of gemstones = Number of gemstones ร Value of each gemstone Total value of gemstones = 35 ร 57 gold coins Total value of gemstones = 1,995 gold coins Step 2: Find the total value of the treasure chest by adding the value of the gemstones and the additional gold coins. Total value of the treasure chest = Total value of gemstones + Additional gold coins Total value of the treasure chest = 1,995 gold coins + 42 gold coins Total value of the treasure chest = 2,037 gold coins Therefore, the total worth of the treasure chest is 2,037 gold coins. ### Answer: 2037
Expected answer: 2037
Correct? Yes
Problem: Suppose the pirate initially found a smaller chest with only 6 gemstones, each still worth 57 gold coins, along with an additional 42 gold coins. How many gold coins would be the total worth of this smaller chest?
Claude-3 Sonnet:
To solve this problem, we need to find the total value of the gemstones and the additional gold coins in the smaller treasure chest. Given information: - The smaller treasure chest has 6 gemstones. - Each gemstone is worth 57 gold coins. - The smaller treasure chest has an additional 42 gold coins. Step 1: Find the total value of the gemstones. Value of each gemstone = 57 gold coins Total value of gemstones = Number of gemstones ร Value of each gemstone Total value of gemstones = 6 ร 57 gold coins Total value of gemstones = 342 gold coins Step 2: Find the total value of the smaller treasure chest by adding the value of the gemstones and the additional gold coins. Total value of the smaller treasure chest = Total value of gemstones + Additional gold coins Total value of the smaller treasure chest = 342 gold coins + 42 gold coins Total value of the smaller treasure chest = 384 gold coins Therefore, the total worth of the smaller treasure chest is 384 gold coins. ### Answer: 384
Expected answer: 384
Correct? Yes
Problem: A pet store has 35 white mice, 86 brown mice, and 39 black mice. How many mice does the store have in total?
Claude-3 Sonnet:
To solve this problem, we need to add the number of white mice, brown mice, and black mice together. Given information: - The pet store has 35 white mice. - The pet store has 86 brown mice. - The pet store has 39 black mice. Step 1: Add the number of white mice, brown mice, and black mice together. Number of white mice + Number of brown mice + Number of black mice = Total number of mice 35 + 86 + 39 = 160 Therefore, the pet store has a total of 160 mice. ### Answer: 160
Expected answer: 160
Correct? Yes
Problem: If the pet store decides to double its quantity of each species of mouse โ the white mice, brown mice, and black mice, how many mice will the store have then?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of mice after doubling the quantity of each species. Given information: - The pet store initially has 35 white mice, 86 brown mice, and 39 black mice. - The pet store will double the quantity of each species of mouse. Step 1: Find the number of mice after doubling the quantity of each species. Number of white mice after doubling = 35 ร 2 = 70 Number of brown mice after doubling = 86 ร 2 = 172 Number of black mice after doubling = 39 ร 2 = 78 Step 2: Find the total number of mice after doubling the quantity of each species. Total number of mice after doubling = Number of white mice after doubling + Number of brown mice after doubling + Number of black mice after doubling Total number of mice after doubling = 70 + 172 + 78 = 320 Therefore, after doubling the quantity of each species of mouse, the pet store will have a total of 320 mice. ### Answer: 320
Expected answer: 320
Correct? Yes
Problem: If the pet store actually had 31 black mice instead of 39 black mice along with the 35 white mice and 86 brown mice, how many mice in total would the pet store then have?
Claude-3 Sonnet:
Okay, let's recalculate the total number of mice with the updated information. Given information: - The pet store has 35 white mice. - The pet store has 86 brown mice. - The pet store has 31 black mice (instead of 39). Step 1: Add the number of white mice, brown mice, and black mice together. Number of white mice + Number of brown mice + Number of black mice = Total number of mice 35 + 86 + 31 = 152 Therefore, with 31 black mice instead of 39, the pet store would have a total of 152 mice. ### Answer: 152
Expected answer: 152
Correct? Yes
Problem: A soap making factory produces 97 bars of soap in one batch. If they made 94 batches in one day, how many bars of soap did they produce that day?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of bars of soap produced by multiplying the number of bars in one batch by the number of batches made in a day. Given information: - The factory produces 97 bars of soap in one batch. - The factory made 94 batches in one day. Step 1: Find the number of bars of soap produced in one batch. Number of bars of soap in one batch = 97 Step 2: Find the total number of bars of soap produced in one day. Total number of bars of soap produced = Number of bars of soap in one batch ร Number of batches made in a day Total number of bars of soap produced = 97 ร 94 Total number of bars of soap produced = 9,118 Therefore, the soap making factory produced 9,118 bars of soap in one day. ### Answer: 9,118
Expected answer: 9118
Correct? Yes
Problem: The soap factory realized that instead of producing 97 bars of soap per batch, they had actually been producing only 43 bars per batch due to a measuring error. Given this new information, how many bars of soap were actually produced over the 94 batches made on the first day?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of bars of soap produced by multiplying the correct number of bars in one batch (43) by the number of batches made in a day (94). Given information: - The factory produces 43 bars of soap in one batch (corrected information). - The factory made 94 batches in one day. Step 1: Find the number of bars of soap produced in one batch. Number of bars of soap in one batch = 43 Step 2: Find the total number of bars of soap produced in one day. Total number of bars of soap produced = Number of bars of soap in one batch ร Number of batches made in a day Total number of bars of soap produced = 43 ร 94 Total number of bars of soap produced = 4,042 Therefore, with the corrected information that the factory produced 43 bars of soap per batch, they actually produced 4,042 bars of soap over the 94 batches made on the first day. ### Answer: 4,042
Expected answer: 4042
Correct? Yes
Problem: A toy factory produces 5 toy cars every minute. After 76 minutes, they add another batch of 49 toy cars. How many toy cars does the factory have now?
Claude-3 Sonnet:
To solve this problem, we need to find the number of toy cars produced in 76 minutes and then add the additional batch of 49 toy cars. Given information: - The toy factory produces 5 toy cars every minute. - After 76 minutes, they add another batch of 49 toy cars. Step 1: Find the number of toy cars produced in 76 minutes. Number of toy cars produced in 76 minutes = Production rate per minute ร Number of minutes Number of toy cars produced in 76 minutes = 5 toy cars/minute ร 76 minutes Number of toy cars produced in 76 minutes = 380 toy cars Step 2: Find the total number of toy cars by adding the additional batch of 49 toy cars. Total number of toy cars = Number of toy cars produced in 76 minutes + Additional batch of toy cars Total number of toy cars = 380 toy cars + 49 toy cars Total number of toy cars = 429 toy cars ### Answer: 429
Expected answer: 429
Correct? Yes
Problem: After reviewing the production data, the toy car factory realized there was a mistake in their calculation. They actually produce only 4 toy cars every minute instead of 5. If they continue to produce for 76 minutes and add another batch of 49 toy cars as before, how many toy cars will the factory have now?
Claude-3 Sonnet:
To solve this problem, we need to recalculate the number of toy cars produced in 76 minutes using the corrected production rate of 4 toy cars per minute, and then add the additional batch of 49 toy cars. Given information: - The toy factory produces 4 toy cars every minute (corrected production rate). - After 76 minutes, they add another batch of 49 toy cars. Step 1: Find the number of toy cars produced in 76 minutes with the corrected production rate. Number of toy cars produced in 76 minutes = Production rate per minute ร Number of minutes Number of toy cars produced in 76 minutes = 4 toy cars/minute ร 76 minutes Number of toy cars produced in 76 minutes = 304 toy cars Step 2: Find the total number of toy cars by adding the additional batch of 49 toy cars. Total number of toy cars = Number of toy cars produced in 76 minutes + Additional batch of toy cars Total number of toy cars = 304 toy cars + 49 toy cars Total number of toy cars = 353 toy cars ### Answer: 353
Expected answer: 353
Correct? Yes
Problem: A piece of farmland spans across 9 km. The owner decided to expand his property by 77 km. However, he had to return 71 km due to some legal issues. How many km does the farmer have left after his expansion and subsequent decrease?
Claude-3 Sonnet:
To solve this problem, we need to find the total area of the farmland after the expansion and then subtract the area that was returned due to legal issues. Given information: - The initial farmland spans across 9 km. - The owner expanded the property by 77 km. - The owner had to return 71 km due to legal issues. Step 1: Find the total area of the farmland after the expansion. Initial farmland area + Expansion area = Total area after expansion 9 km + 77 km = 86 km Step 2: Find the area of the farmland after returning 71 km. Total area after expansion - Area returned = Final area of the farmland 86 km - 71 km = 15 km Therefore, the farmer has 15 km left after the expansion and subsequent decrease. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: In a similar situation, another farmer currently owns 25 km of farmland. They also decided to expand by 77 km, but like the previous farmer, had to give back 71 km due to legal issues. How many kilometers does this second farmer have left after this expansion and subsequent decrease?
Claude-3 Sonnet:
To solve this problem, we need to follow a similar approach as the previous problem. Given information: - The initial farmland area is 25 km. - The farmer expanded the property by 77 km. - The farmer had to return 71 km due to legal issues. Step 1: Find the total area of the farmland after the expansion. Initial farmland area + Expansion area = Total area after expansion 25 km + 77 km = 102 km Step 2: Find the area of the farmland after returning 71 km. Total area after expansion - Area returned = Final area of the farmland 102 km - 71 km = 31 km Therefore, the second farmer has 31 km left after the expansion and subsequent decrease. ### Answer: 31
Expected answer: 31
Correct? Yes
Problem: A paint company is preparing 8930 liters of a specific color. If they can fill up a paint bucket with 95 liters of paint, how many buckets will they be able to fill up completely?
Claude-3 Sonnet:
To solve this problem, we need to find out how many times 95 liters can go into 8930 liters. Given information: - The paint company is preparing 8930 liters of a specific color. - Each paint bucket can hold 95 liters of paint. Step 1: Divide the total amount of paint by the capacity of each bucket. Number of buckets = Total amount of paint / Capacity of each bucket Number of buckets = 8930 liters / 95 liters per bucket Number of buckets = 94 buckets Therefore, the paint company will be able to fill up 94 buckets completely with the 8930 liters of paint. ### Answer: 94
Expected answer: 94
Correct? Yes
Problem: A paint company is preparing 8930 liters of a specific color. If they can fill up a paint bucket with 95 liters of paint, how many buckets will they be able to fill up completely? After the initial sales, the company realized they were missing 73 paint buckets. But soon they found 59 buckets in the warehouse. After adding these found buckets, how many buckets does the company have in total now?
Claude-3 Sonnet:
To solve this problem, we need to find the number of buckets the company can fill initially, and then add the number of buckets found in the warehouse. Given information: - The paint company is preparing 8930 liters of a specific color. - Each paint bucket can hold 95 liters of paint. - The company was missing 73 paint buckets after the initial sales. - The company found 59 buckets in the warehouse. Step 1: Find the number of buckets the company can fill initially. Number of buckets = Total amount of paint / Capacity of each bucket Number of buckets = 8930 liters / 95 liters per bucket Number of buckets = 94 buckets Step 2: Find the number of buckets the company has after adding the found buckets. Number of buckets after adding found buckets = Initial number of buckets - Missing buckets + Found buckets Number of buckets after adding found buckets = 94 - 73 + 59 Number of buckets after adding found buckets = 80 buckets Therefore, after adding the found buckets, the company has a total of 80 buckets. ### Answer: 80
Expected answer: 80
Correct? Yes
Problem: A bubble machine can make 3654 bubbles with 87 ounces of bubble fluid. How many bubbles can it make with 1 ounce of bubble fluid?
Claude-3 Sonnet:
To solve this problem, we need to find the ratio of bubbles to ounces of bubble fluid, and then use that ratio to determine how many bubbles can be made with 1 ounce of bubble fluid. Given information: - The bubble machine can make 3654 bubbles with 87 ounces of bubble fluid. Step 1: Find the ratio of bubbles to ounces of bubble fluid. Ratio of bubbles to ounces = 3654 bubbles / 87 ounces Ratio of bubbles to ounces = 42 bubbles per ounce Step 2: Use the ratio to find the number of bubbles that can be made with 1 ounce of bubble fluid. Number of bubbles with 1 ounce = 42 bubbles per ounce ร 1 ounce Number of bubbles with 1 ounce = 42 bubbles Therefore, the bubble machine can make 42 bubbles with 1 ounce of bubble fluid. ### Answer: 42
Expected answer: 42
Correct? Yes
Problem: Suppose the bubble machine was actually more efficient and could produce 3654 bubbles with just 47 ounces of bubble fluid. With this rate, how many bubbles can it make with 1 ounce of bubble fluid?
Claude-3 Sonnet:
Okay, let's recalculate with the new information. Given information: - The bubble machine can make 3654 bubbles with 47 ounces of bubble fluid. Step 1: Find the ratio of bubbles to ounces of bubble fluid. Ratio of bubbles to ounces = 3654 bubbles / 47 ounces Ratio of bubbles to ounces = 77.74 bubbles per ounce Step 2: Use the ratio to find the number of bubbles that can be made with 1 ounce of bubble fluid. Number of bubbles with 1 ounce = 77.74 bubbles per ounce ร 1 ounce Number of bubbles with 1 ounce = 77.74 bubbles Therefore, with the more efficient rate, the bubble machine can make approximately 78 bubbles with 1 ounce of bubble fluid. ### Answer: 78
Expected answer: 3654/47
Correct? No
Problem: A juice bar uses 13 apples to make a jug of apple juice. If they made 30 jugs in one day, how many apples did they use?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of apples used to make 30 jugs of apple juice. Given information: - The juice bar uses 13 apples to make one jug of apple juice. - They made 30 jugs of apple juice in one day. Step 1: Find the number of apples needed for one jug of apple juice. Number of apples per jug = 13 apples Step 2: Find the total number of apples needed for 30 jugs of apple juice. Total number of apples = Number of apples per jug ร Number of jugs Total number of apples = 13 apples ร 30 jugs Total number of apples = 390 apples Therefore, the juice bar used 390 apples to make 30 jugs of apple juice in one day. ### Answer: 390
Expected answer: 390
Correct? Yes
Problem: Considering the previous scenario, if instead of using 13 apples daily for the fruit salads, they started using 55 apples, how many apples did they use in total when they made fruit salads for 30 days?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of apples used for making fruit salads for 30 days, given that they used 55 apples per day. Given information: - The juice bar uses 55 apples per day for making fruit salads. - They made fruit salads for 30 days. Step 1: Find the number of apples used per day for making fruit salads. Number of apples used per day = 55 apples Step 2: Find the total number of apples used for making fruit salads for 30 days. Total number of apples = Number of apples used per day ร Number of days Total number of apples = 55 apples ร 30 days Total number of apples = 1,650 apples Therefore, the juice bar used a total of 1,650 apples for making fruit salads for 30 days when they started using 55 apples per day. ### Answer: 1,650
Expected answer: 1650
Correct? Yes
Problem: A certain dinosaur species laid eggs every 60 minutes. If they had been laying eggs for 1620 minutes straight, how many total eggs would they have laid?
Claude-3 Sonnet:
To solve this problem, we need to find the number of times the dinosaur species laid eggs in 1620 minutes and then multiply it by the number of eggs laid each time. Given information: - The dinosaur species laid eggs every 60 minutes. - They had been laying eggs for 1620 minutes. Step 1: Find the number of times the dinosaur species laid eggs in 1620 minutes. Number of times eggs were laid = Total minutes / Minutes between each laying Number of times eggs were laid = 1620 minutes / 60 minutes Number of times eggs were laid = 27 times Step 2: Assume that the dinosaur species lays one egg each time. Total number of eggs laid = Number of times eggs were laid Total number of eggs laid = 27 eggs Therefore, if the dinosaur species had been laying eggs for 1620 minutes straight, they would have laid a total of 27 eggs. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: Following the previous scenario, suppose the paleontologists revised their calculations and found that the dinosaur species was actually laying eggs every 47 minutes, not 60 as originally thought. In that case, how many total eggs would the dinosaur have laid if it had been laying eggs for 1620 minutes straight?
Claude-3 Sonnet:
Okay, let's recalculate the total number of eggs laid by the dinosaur species based on the revised information. Given information: - The dinosaur species laid eggs every 47 minutes. - They had been laying eggs for 1620 minutes. Step 1: Find the number of times the dinosaur species laid eggs in 1620 minutes. Number of times eggs were laid = Total minutes / Minutes between each laying Number of times eggs were laid = 1620 minutes / 47 minutes Number of times eggs were laid = 34.47 times (rounded down to 34 times) Step 2: Assume that the dinosaur species lays one egg each time. Total number of eggs laid = Number of times eggs were laid Total number of eggs laid = 34 eggs Therefore, if the dinosaur species had been laying eggs every 47 minutes for 1620 minutes straight, they would have laid a total of 34 eggs. ### Answer: 34
Expected answer: 1620/47
Correct? No
Problem: A library received a shipment of new books. There were 55 romance novels, 43 mystery novels, and 67 science fiction novels. How many new books did the library receive?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of books received by adding the number of books in each genre. Given information: - The library received 55 romance novels. - The library received 43 mystery novels. - The library received 67 science fiction novels. Step 1: Add the number of books in each genre. Total number of books received = Number of romance novels + Number of mystery novels + Number of science fiction novels Total number of books received = 55 + 43 + 67 Total number of books received = 165 Therefore, the library received a total of 165 new books. ### Answer: 165
Expected answer: 165
Correct? Yes
Problem: In the original shipment to the library, suppose there were 95 science fiction novels instead of 67. With the 55 romance novels and 43 mystery novels remaining the same, how many new books did the library receive now?
Claude-3 Sonnet:
Okay, let's solve this problem step-by-step: Given information: - The library received 55 romance novels. - The library received 43 mystery novels. - The library received 95 science fiction novels (instead of 67). To find the total number of new books received, we need to add the number of books in each genre. Step 1: Add the number of books in each genre. Total number of books received = Number of romance novels + Number of mystery novels + Number of science fiction novels Total number of books received = 55 + 43 + 95 Total number of books received = 193 Therefore, with 95 science fiction novels instead of 67, and the number of romance novels and mystery novels remaining the same, the library received a total of 193 new books. ### Answer: 193
Expected answer: 193
Correct? Yes
Problem: On a particular beach, there is a tendency for 74 seashells to appear every day. After 42 days of collection, a beachcomber also discovered an additional 56 seashells that had been hidden in the sand. How many seashells did the beachcomber have in total after 42 days?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of seashells that appeared on the beach during the 42 days and add the additional 56 seashells that were hidden in the sand. Given information: - 74 seashells appear on the beach every day. - The beachcomber collected seashells for 42 days. - The beachcomber also discovered an additional 56 seashells hidden in the sand. Step 1: Find the total number of seashells that appeared on the beach during the 42 days. Number of seashells appearing per day ร Number of days = Total seashells appearing on the beach 74 seashells ร 42 days = 3,108 seashells Step 2: Add the additional 56 seashells that were hidden in the sand. Total seashells appearing on the beach + Additional seashells hidden in the sand = Total seashells collected 3,108 seashells + 56 seashells = 3,164 seashells Therefore, the beachcomber had a total of 3,164 seashells after 42 days of collection. ### Answer: 3,164
Expected answer: 3164
Correct? Yes
Problem: Building on our beachcomber's tale, after counting his 42-day collection of seashells, he accidentally loses one seashell down a seaside crevice. Disappointed but not defeated, he decides to collect 32 more seashells the next day. How many seashells does he have in total after adding the new batch and accounting for the lost seashell?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of seashells the beachcomber had after the 42-day collection, subtract the one seashell that was lost, and then add the 32 seashells collected the next day. Given information: - The beachcomber had a total of 3,164 seashells after the 42-day collection. - The beachcomber lost one seashell down a seaside crevice. - The beachcomber collected 32 more seashells the next day. Step 1: Find the number of seashells the beachcomber had after losing one seashell. Total seashells after 42-day collection - Seashells lost = Remaining seashells 3,164 seashells - 1 seashell = 3,163 seashells Step 2: Add the 32 seashells collected the next day to the remaining seashells. Remaining seashells + Seashells collected the next day = Total seashells 3,163 seashells + 32 seashells = 3,195 seashells Therefore, after adding the new batch of 32 seashells and accounting for the lost seashell, the beachcomber had a total of 3,195 seashells. ### Answer: 3,195
Expected answer: 3195
Correct? Yes
Problem: Let's revisit our beachcomber. After reconsidering his collection habit, he realizes he has been actually collecting an average of 89 seashells per day instead of 74, over the same 42 day period. He still found that additional 56 seashells hidden in the sand. Now, how many seashells does he have in total after 42 days?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of seashells that appeared on the beach during the 42 days, considering the revised average of 89 seashells per day, and then add the additional 56 seashells that were hidden in the sand. Given information: - The beachcomber collected an average of 89 seashells per day. - The beachcomber collected seashells for 42 days. - The beachcomber also discovered an additional 56 seashells hidden in the sand. Step 1: Find the total number of seashells that appeared on the beach during the 42 days. Average number of seashells collected per day ร Number of days = Total seashells appearing on the beach 89 seashells ร 42 days = 3,738 seashells Step 2: Add the additional 56 seashells that were hidden in the sand. Total seashells appearing on the beach + Additional seashells hidden in the sand = Total seashells collected 3,738 seashells + 56 seashells = 3,794 seashells Therefore, after reconsidering his collection habit, the beachcomber had a total of 3,794 seashells after 42 days of collection. ### Answer: 3,794
Expected answer: 3794
Correct? Yes