Common Core Standard 4.NBT.B.5
This standard covers the following:
Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Problem: A police department issues 65 tickets each day for 34 days. How many tickets did they issue in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of tickets issued by multiplying the number of tickets issued per day by the number of days. Given information: - The police department issues 65 tickets each day. - The police department issued tickets for 34 days. Step 1: Find the number of tickets issued per day. Number of tickets issued per day = 65 Step 2: Find the total number of tickets issued by multiplying the number of tickets issued per day by the number of days. Total number of tickets issued = Number of tickets issued per day × Number of days Total number of tickets issued = 65 × 34 Total number of tickets issued = 2,210 Therefore, the police department issued a total of 2,210 tickets in 34 days. ### Answer: 2,210
Expected answer: 2210
Correct? Yes
Problem: A windmill generates 8086 kilowatts of electricity every day. How much electricity will it generate in 7 days?
Claude-3 Sonnet:
To solve this problem, we need to find the amount of electricity generated by the windmill in 7 days. Given information: - The windmill generates 8086 kilowatts of electricity every day. Step 1: Find the amount of electricity generated by the windmill in 7 days. Amount of electricity generated in 7 days = Amount of electricity generated per day × Number of days Amount of electricity generated in 7 days = 8086 kilowatts × 7 days Amount of electricity generated in 7 days = 56,602 kilowatts Therefore, the windmill will generate 56,602 kilowatts of electricity in 7 days. ### Answer: 56602
Expected answer: 56602
Correct? Yes
Problem: If the windmill generated 5447 kilowatts of electricity daily instead of 8086 kilowatts, how much electricity would it generate in 7 days?
Claude-3 Sonnet:
To solve this problem, we need to find the amount of electricity generated by the windmill in 7 days with the new daily generation rate of 5447 kilowatts. Given information: - The windmill generates 5447 kilowatts of electricity every day. Step 1: Find the amount of electricity generated by the windmill in 7 days. Amount of electricity generated in 7 days = Amount of electricity generated per day × Number of days Amount of electricity generated in 7 days = 5447 kilowatts × 7 days Amount of electricity generated in 7 days = 38,129 kilowatts Therefore, if the windmill generated 5447 kilowatts of electricity daily instead of 8086 kilowatts, it would generate 38,129 kilowatts of electricity in 7 days. ### Answer: 38129
Expected answer: 38129
Correct? Yes
Problem: A company produces 55 tubes of toothpaste every hour for 35 hours. How many tubes of toothpaste did they produce?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of tubes of toothpaste produced by multiplying the number of tubes produced per hour by the number of hours. Given information: - The company produces 55 tubes of toothpaste every hour. - The company produces toothpaste for 35 hours. Step 1: Find the number of tubes produced per hour. Number of tubes produced per hour = 55 tubes Step 2: Find the total number of tubes produced in 35 hours. Total number of tubes produced = Number of tubes produced per hour × Number of hours Total number of tubes produced = 55 tubes × 35 hours Total number of tubes produced = 1,925 tubes Therefore, the company produced 1,925 tubes of toothpaste in 35 hours. ### Answer: 1,925
Expected answer: 1925
Correct? Yes
Problem: Instead of producing toothpaste for 35 hours, the company decided to increase their production time to 316 hours, still producing 55 tubes of toothpaste every hour. How many tubes of toothpaste did they produce now?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of tubes of toothpaste produced by multiplying the number of tubes produced per hour by the new number of hours. Given information: - The company produces 55 tubes of toothpaste every hour. - The company produces toothpaste for 316 hours. Step 1: Find the number of tubes produced per hour. Number of tubes produced per hour = 55 tubes Step 2: Find the total number of tubes produced in 316 hours. Total number of tubes produced = Number of tubes produced per hour × Number of hours Total number of tubes produced = 55 tubes × 316 hours Total number of tubes produced = 17,380 tubes Therefore, the company produced 17,380 tubes of toothpaste in 316 hours. ### Answer: 17,380
Expected answer: 17380
Correct? Yes
Problem: A company produces 96 unique keys per day for 83 days. How many keys in total did they produce?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of keys produced by multiplying the number of keys produced per day by the number of days. Given information: - The company produces 96 unique keys per day. - The company produces keys for 83 days. Step 1: Find the number of keys produced per day. Number of keys produced per day = 96 keys Step 2: Find the total number of keys produced by multiplying the number of keys produced per day by the number of days. Total number of keys produced = Number of keys produced per day × Number of days Total number of keys produced = 96 keys × 83 days Total number of keys produced = 7,968 keys Therefore, the company produced a total of 7,968 keys in 83 days. ### Answer: 7,968
Expected answer: 7968
Correct? Yes
Problem: Considering the previous problem, if the company instead produced 993 unique keys per day for the same period of 96 days, how many keys in total would they have produced?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of keys produced by multiplying the number of keys produced per day by the number of days. Given information: - The company produces 993 unique keys per day. - The company produces keys for 96 days. Step 1: Find the number of keys produced per day. Number of keys produced per day = 993 keys Step 2: Find the total number of keys produced by multiplying the number of keys produced per day by the number of days. Total number of keys produced = Number of keys produced per day × Number of days Total number of keys produced = 993 keys × 96 days Total number of keys produced = 95,328 keys Therefore, if the company produced 993 unique keys per day for 96 days, they would have produced a total of 95,328 keys. ### Answer: 95,328
Expected answer: 95328
Correct? Yes
Problem: A company produces 9212 balls of a specific type every day for 9 consecutive days. How many balls did they produce overall?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of balls produced in 9 consecutive days. Given information: - The company produces 9212 balls of a specific type every day. - The production continues for 9 consecutive days. Step 1: Find the number of balls produced in one day. Number of balls produced in one day = 9212 Step 2: Find the total number of balls produced in 9 consecutive days. Total number of balls produced = Number of balls produced in one day × Number of days Total number of balls produced = 9212 × 9 Total number of balls produced = 82,908 Therefore, the company produced a total of 82,908 balls of the specific type in 9 consecutive days. ### Answer: 82,908
Expected answer: 82908
Correct? Yes
Problem: Suppose instead the company had been producing only 3032 balls of a specific type each day for the same 9 consecutive days. How many balls would they have produced in this case?
Claude-3 Sonnet:
In this case, we need to find the total number of balls produced when the company produces 3032 balls of a specific type each day for 9 consecutive days. Given information: - The company produces 3032 balls of a specific type every day. - The production continues for 9 consecutive days. Step 1: Find the number of balls produced in one day. Number of balls produced in one day = 3032 Step 2: Find the total number of balls produced in 9 consecutive days. Total number of balls produced = Number of balls produced in one day × Number of days Total number of balls produced = 3032 × 9 Total number of balls produced = 27,288 Therefore, if the company had been producing 3032 balls of a specific type each day for 9 consecutive days, they would have produced a total of 27,288 balls. ### Answer: 27,288
Expected answer: 27288
Correct? Yes
Problem: A school bus can carry 6353 students. If there is only 1 bus available, how many students can it carry?
Claude-3 Sonnet:
To solve this problem, we need to find the number of students that the single available school bus can carry. Given information: - The school bus can carry 6353 students. - There is only 1 bus available. Since there is only 1 bus available, the number of students it can carry is the same as its capacity, which is 6353 students. Therefore, the single available school bus can carry 6353 students. ### Answer: 6353
Expected answer: 6353
Correct? Yes
Problem: Now, imagine if the school bus could only carry 229 students instead of 6353. How many students can this bus carry?
Claude-3 Sonnet:
Okay, let's consider the new information: The school bus can carry 229 students. There is only 1 bus available. Since there is only 1 bus available, the number of students it can carry is equal to its capacity, which is now 229 students. Therefore, with the new capacity of 229 students, the single available school bus can carry 229 students. ### Answer: 229
Expected answer: 229
Correct? Yes
Problem: A pirate ship has 76 cannons, each firing 45 cannonballs in a battle. How many cannonballs does the pirate ship fire in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of cannonballs fired by multiplying the number of cannons with the number of cannonballs fired by each cannon. Given information: - The pirate ship has 76 cannons. - Each cannon fires 45 cannonballs in a battle. Step 1: Find the total number of cannonballs fired by all the cannons. Total number of cannonballs fired = Number of cannons × Number of cannonballs fired by each cannon Total number of cannonballs fired = 76 × 45 Total number of cannonballs fired = 3,420 Therefore, the pirate ship fires a total of 3,420 cannonballs in the battle. ### Answer: 3,420
Expected answer: 3420
Correct? Yes
Problem: Considering the same pirate ship, what if instead of firing 45 cannonballs per cannon, each of the 76 cannons fired 708 cannonballs in a battle? How many cannonballs does the pirate ship fire in total now?
Claude-3 Sonnet:
In this case, we need to find the total number of cannonballs fired by multiplying the number of cannons with the new number of cannonballs fired by each cannon. Given information: - The pirate ship has 76 cannons. - Each cannon fires 708 cannonballs in a battle. Step 1: Find the total number of cannonballs fired by all the cannons. Total number of cannonballs fired = Number of cannons × Number of cannonballs fired by each cannon Total number of cannonballs fired = 76 × 708 Total number of cannonballs fired = 53,808 Therefore, if each of the 76 cannons on the pirate ship fires 708 cannonballs in a battle, the pirate ship fires a total of 53,808 cannonballs. ### Answer: 53,808
Expected answer: 53808
Correct? Yes
Problem: A bus can carry 5244 passengers. How many passengers can 5 buses carry in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of passengers that 5 buses can carry. Given information: - One bus can carry 5244 passengers. - We need to find the total number of passengers that 5 buses can carry. Step 1: Find the number of passengers that one bus can carry. Number of passengers per bus = 5244 Step 2: Find the total number of passengers that 5 buses can carry. Total number of passengers = Number of passengers per bus × Number of buses Total number of passengers = 5244 × 5 Total number of passengers = 26220 Therefore, 5 buses can carry a total of 26220 passengers. ### Answer: 26220
Expected answer: 26220
Correct? Yes
Problem: Following from the previous problem, imagine instead that each bus can carry 8347 passengers. How many passengers can 5 buses carry in total now?
Claude-3 Sonnet:
In this problem, we need to find the total number of passengers that 5 buses can carry, given that each bus can carry 8347 passengers. Given information: - Each bus can carry 8347 passengers. - We need to find the total number of passengers that 5 buses can carry. Step 1: Find the number of passengers that one bus can carry. Number of passengers per bus = 8347 Step 2: Find the total number of passengers that 5 buses can carry. Total number of passengers = Number of passengers per bus × Number of buses Total number of passengers = 8347 × 5 Total number of passengers = 41735 Therefore, 5 buses can carry a total of 41735 passengers when each bus can carry 8347 passengers. ### Answer: 41735
Expected answer: 41735
Correct? Yes
Problem: A friend of yours has been saving money for 2 years. Every year, they manage to save $2008. How much money have they saved in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total amount of money saved by your friend over the course of 2 years. Given information: - Your friend saves $2008 every year. - The savings period is 2 years. Step 1: Find the amount of money saved in the first year. Amount saved in the first year = $2008 Step 2: Find the amount of money saved in the second year. Amount saved in the second year = $2008 Step 3: Find the total amount of money saved by adding the amounts saved in both years. Total amount of money saved = Amount saved in the first year + Amount saved in the second year Total amount of money saved = $2008 + $2008 Total amount of money saved = $4016 Therefore, your friend has saved a total of $4016 over the course of 2 years. ### Answer: $4016
Expected answer: 4016
Correct? Yes
Problem: In response to the previous situation with your friend, imagine instead that they were able to save just $125 every year for those same 2 years. How much would they have managed to save under these circumstances?
Claude-3 Sonnet:
Okay, let's recalculate the total amount of money saved by your friend with the new information. Given information: - Your friend saves $125 every year. - The savings period is 2 years. Step 1: Find the amount of money saved in the first year. Amount saved in the first year = $125 Step 2: Find the amount of money saved in the second year. Amount saved in the second year = $125 Step 3: Find the total amount of money saved by adding the amounts saved in both years. Total amount of money saved = Amount saved in the first year + Amount saved in the second year Total amount of money saved = $125 + $125 Total amount of money saved = $250 Therefore, if your friend saved $125 every year for 2 years, they would have managed to save a total of $250. ### Answer: $250
Expected answer: 250
Correct? Yes
Problem: A chocolate factory produces 4916 chocolate bars every hour for 4 hours. How many chocolate bars did they produce?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of chocolate bars produced in 4 hours. Given information: - The chocolate factory produces 4916 chocolate bars every hour. - The factory operates for 4 hours. Step 1: Find the number of chocolate bars produced in 1 hour. Number of chocolate bars produced in 1 hour = 4916 chocolate bars Step 2: Find the number of chocolate bars produced in 4 hours. Number of chocolate bars produced in 4 hours = Number of chocolate bars produced in 1 hour × Number of hours Number of chocolate bars produced in 4 hours = 4916 chocolate bars × 4 hours Number of chocolate bars produced in 4 hours = 19664 chocolate bars Therefore, the chocolate factory produced 19664 chocolate bars in 4 hours. ### Answer: 19664
Expected answer: 19664
Correct? Yes
Problem: If the chocolate factory mentioned before actually produced 7489 chocolate bars every hour for the same 4 hours, how many chocolate bars did they produce instead?
Claude-3 Sonnet:
Okay, let's solve this problem with the updated information. Given information: - The chocolate factory produces 7489 chocolate bars every hour. - The factory operates for 4 hours. Step 1: Find the number of chocolate bars produced in 1 hour. Number of chocolate bars produced in 1 hour = 7489 chocolate bars Step 2: Find the number of chocolate bars produced in 4 hours. Number of chocolate bars produced in 4 hours = Number of chocolate bars produced in 1 hour × Number of hours Number of chocolate bars produced in 4 hours = 7489 chocolate bars × 4 hours Number of chocolate bars produced in 4 hours = 29956 chocolate bars Therefore, with the updated production rate of 7489 chocolate bars per hour, the chocolate factory produced 29956 chocolate bars in 4 hours. ### Answer: 29956
Expected answer: 29956
Correct? Yes
Problem: A pirate found a hidden treasure, which contains 91 chests, each chest holding 55 gold coins. How many gold coins did the pirate find in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of gold coins in all the chests. Given information: - There are 91 chests. - Each chest holds 55 gold coins. Step 1: Find the number of gold coins in one chest. Number of gold coins in one chest = 55 Step 2: Find the total number of gold coins in all the chests. Total number of gold coins = Number of chests × Number of gold coins in one chest Total number of gold coins = 91 × 55 Total number of gold coins = 5,005 Therefore, the pirate found a total of 5,005 gold coins in the hidden treasure. ### Answer: 5,005
Expected answer: 5005
Correct? Yes
Problem: Instead of 91 chests, suppose the pirate found 1489 chests, each still holding 55 gold coins. How many gold coins did the pirate find in total now?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of gold coins in all the chests. Given information: - There are 1489 chests. - Each chest holds 55 gold coins. Step 1: Find the number of gold coins in one chest. Number of gold coins in one chest = 55 Step 2: Find the total number of gold coins in all the chests. Total number of gold coins = Number of chests × Number of gold coins in one chest Total number of gold coins = 1489 × 55 Total number of gold coins = 81,895 Therefore, with 1489 chests, each holding 55 gold coins, the pirate found a total of 81,895 gold coins in the hidden treasure. ### Answer: 81,895
Expected answer: 81895
Correct? Yes
Problem: A farmer grows 50 bunches of grapes and each bunch has 12 grapes each. How many grapes did the farmer grow in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of grapes by multiplying the number of bunches by the number of grapes in each bunch. Given information: - The farmer grows 50 bunches of grapes. - Each bunch has 12 grapes. Step 1: Find the total number of grapes by multiplying the number of bunches by the number of grapes in each bunch. Total number of grapes = Number of bunches × Number of grapes per bunch Total number of grapes = 50 × 12 Total number of grapes = 600 Therefore, the farmer grew a total of 600 grapes. ### Answer: 600
Expected answer: 600
Correct? Yes
Problem: If instead of 50 bunches of grapes, the farmer had 6804 bunches of grapes, each with 12 grapes, how many grapes did the farmer grow in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of grapes by multiplying the number of bunches by the number of grapes in each bunch. Given information: - The farmer grows 6804 bunches of grapes. - Each bunch has 12 grapes. Step 1: Find the total number of grapes by multiplying the number of bunches by the number of grapes in each bunch. Total number of grapes = Number of bunches × Number of grapes per bunch Total number of grapes = 6804 × 12 Total number of grapes = 81,648 Therefore, the farmer grew a total of 81,648 grapes. ### Answer: 81648
Expected answer: 81648
Correct? Yes
Problem: A helicopter can carry 64 pounds every minute. If it works continuously for 75 minutes, how many pounds can the helicopter carry?
Claude-3 Sonnet:
To solve this problem, we need to find the total weight the helicopter can carry in 75 minutes. Given information: - The helicopter can carry 64 pounds every minute. - The helicopter works continuously for 75 minutes. Step 1: Find the weight the helicopter can carry in 1 minute. Weight carried in 1 minute = 64 pounds Step 2: Find the total weight the helicopter can carry in 75 minutes. Total weight carried = Weight carried in 1 minute × Number of minutes Total weight carried = 64 pounds × 75 minutes Total weight carried = 4,800 pounds Therefore, the helicopter can carry 4,800 pounds if it works continuously for 75 minutes. ### Answer: 4,800
Expected answer: 4800
Correct? Yes
Problem: If the helicopter could actually carry 1063 pounds every minute instead of 64, how many pounds would it be able to carry in 75 minutes?
Claude-3 Sonnet:
Okay, let's solve this problem with the new information. Given information: - The helicopter can carry 1063 pounds every minute. - The helicopter works continuously for 75 minutes. Step 1: Find the weight the helicopter can carry in 1 minute. Weight carried in 1 minute = 1063 pounds Step 2: Find the total weight the helicopter can carry in 75 minutes. Total weight carried = Weight carried in 1 minute × Number of minutes Total weight carried = 1063 pounds × 75 minutes Total weight carried = 79,725 pounds Therefore, if the helicopter could carry 1063 pounds every minute, it would be able to carry 79,725 pounds in 75 minutes. ### Answer: 79,725
Expected answer: 79725
Correct? Yes
Problem: A piano manufacturer produces 4750 pianos every week for 7 weeks. How many pianos have they produced in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of pianos produced in 7 weeks. Given information: - The piano manufacturer produces 4750 pianos every week. - The production continues for 7 weeks. Step 1: Find the number of pianos produced in one week. Number of pianos produced in one week = 4750 Step 2: Find the total number of pianos produced in 7 weeks. Total number of pianos produced = Number of pianos produced in one week × Number of weeks Total number of pianos produced = 4750 × 7 Total number of pianos produced = 33250 Therefore, the piano manufacturer has produced a total of 33250 pianos in 7 weeks. ### Answer: 33250
Expected answer: 33250
Correct? Yes
Problem: Suppose the piano manufacturer had actually produced 1339 pianos every week instead of 4750 pianos for the same 7 weeks. How many pianos would they have produced then?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of pianos produced in 7 weeks when the manufacturer produces 1339 pianos every week. Given information: - The piano manufacturer produces 1339 pianos every week. - The production continues for 7 weeks. Step 1: Find the number of pianos produced in one week. Number of pianos produced in one week = 1339 Step 2: Find the total number of pianos produced in 7 weeks. Total number of pianos produced = Number of pianos produced in one week × Number of weeks Total number of pianos produced = 1339 × 7 Total number of pianos produced = 9373 Therefore, if the piano manufacturer had produced 1339 pianos every week for 7 weeks, they would have produced a total of 9373 pianos. ### Answer: 9373
Expected answer: 9373
Correct? Yes
Problem: A snow machine produces 8873 snowballs every hour for 8 hours. How many snowballs did it produce?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of snowballs produced by the snow machine in 8 hours. Given information: - The snow machine produces 8873 snowballs every hour. - The snow machine operates for 8 hours. Step 1: Find the number of snowballs produced in 1 hour. Number of snowballs produced in 1 hour = 8873 snowballs Step 2: Find the number of snowballs produced in 8 hours. Number of snowballs produced in 8 hours = Number of snowballs produced in 1 hour × Number of hours Number of snowballs produced in 8 hours = 8873 snowballs × 8 hours Number of snowballs produced in 8 hours = 70,984 snowballs Therefore, the snow machine produced 70,984 snowballs in 8 hours. ### Answer: 70984
Expected answer: 70984
Correct? Yes
Problem: The snow machine went into maintenance for a few hours, after which it could only produce 93 snowballs per hour, still for 8 hours. How many snowballs did it produce after maintenance?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of snowballs produced by the snow machine after maintenance for 8 hours. Given information: - After maintenance, the snow machine produces 93 snowballs per hour. - The snow machine operates for 8 hours after maintenance. Step 1: Find the number of snowballs produced in 1 hour after maintenance. Number of snowballs produced in 1 hour = 93 snowballs Step 2: Find the number of snowballs produced in 8 hours after maintenance. Number of snowballs produced in 8 hours = Number of snowballs produced in 1 hour × Number of hours Number of snowballs produced in 8 hours = 93 snowballs × 8 hours Number of snowballs produced in 8 hours = 744 snowballs Therefore, the snow machine produced 744 snowballs in 8 hours after maintenance. ### Answer: 744
Expected answer: 744
Correct? Yes
Problem: A certain type of rope is produced in 84 equal strands, each measuring 75 meters long. How many meters of rope are produced in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of all the strands of rope produced. Given information: - The rope is produced in 84 equal strands. - Each strand measures 75 meters long. Step 1: Find the length of one strand of rope. Length of one strand = 75 meters Step 2: Find the total length of all the strands of rope. Total length of rope = Number of strands × Length of one strand Total length of rope = 84 × 75 meters Total length of rope = 6,300 meters Therefore, the total length of rope produced is 6,300 meters. ### Answer: 6,300
Expected answer: 6300
Correct? Yes
Problem: Considering the previous scenario, let's say the machinery was recalibrated and now each of the 84 strands of rope are now 742 meters long instead of 75 meters. How long is the total length of all strands now?
Claude-3 Sonnet:
Okay, let's recalculate the total length of all strands with the new information. Given information: - The rope is produced in 84 equal strands. - Each strand now measures 742 meters long. Step 1: Find the length of one strand of rope. Length of one strand = 742 meters Step 2: Find the total length of all the strands of rope. Total length of rope = Number of strands × Length of one strand Total length of rope = 84 × 742 meters Total length of rope = 62,328 meters Therefore, with each of the 84 strands now measuring 742 meters long, the total length of all strands is 62,328 meters. ### Answer: 62,328
Expected answer: 62328
Correct? Yes
Problem: A doctor treats 5837 patients each day for 8 days. How many patients has the doctor treated?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of patients the doctor treated in 8 days. Given information: - The doctor treats 5837 patients each day. - The doctor works for 8 days. Step 1: Find the number of patients the doctor treats in one day. Number of patients treated in one day = 5837 Step 2: Find the total number of patients treated in 8 days. Total number of patients treated = Number of patients treated in one day × Number of days Total number of patients treated = 5837 × 8 Total number of patients treated = 46696 Therefore, the doctor has treated 46696 patients in 8 days. ### Answer: 46696
Expected answer: 46696
Correct? Yes
Problem: In the previous scenario, the doctor treated 5837 patients for 8 days. Now, imagine that instead the doctor treated 7467 patients each day for the same period of 8 days. How many patients has the doctor treated now?
Claude-3 Sonnet:
In this new scenario, we need to find the total number of patients the doctor treated when treating 7467 patients each day for 8 days. Given information: - The doctor treats 7467 patients each day. - The doctor works for 8 days. Step 1: Find the number of patients the doctor treats in one day. Number of patients treated in one day = 7467 Step 2: Find the total number of patients treated in 8 days. Total number of patients treated = Number of patients treated in one day × Number of days Total number of patients treated = 7467 × 8 Total number of patients treated = 59736 Therefore, in this new scenario where the doctor treated 7467 patients each day for 8 days, the doctor has treated a total of 59736 patients. ### Answer: 59736
Expected answer: 59736
Correct? Yes
Problem: A tree farmer plants 4749 trees each day over 6 days. How many trees did he plant in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of trees planted over the 6 days. Given information: - The tree farmer plants 4749 trees each day. - The tree farmer plants trees for 6 days. Step 1: Find the number of trees planted in one day. Number of trees planted in one day = 4749 trees Step 2: Find the total number of trees planted in 6 days. Total number of trees planted = Number of trees planted in one day × Number of days Total number of trees planted = 4749 trees × 6 days Total number of trees planted = 28494 trees Therefore, the tree farmer planted a total of 28494 trees over the 6 days. ### Answer: 28494
Expected answer: 28494
Correct? Yes
Problem: In the previous scenario with the tree farmer, suppose he has instead planted 4511 trees each day over the same 6 days. How many trees did he plant in total now?
Claude-3 Sonnet:
Okay, let's solve this problem with the new information. Given information: - The tree farmer plants 4511 trees each day. - The tree farmer plants trees for 6 days. Step 1: Find the number of trees planted in one day. Number of trees planted in one day = 4511 trees Step 2: Find the total number of trees planted in 6 days. Total number of trees planted = Number of trees planted in one day × Number of days Total number of trees planted = 4511 trees × 6 days Total number of trees planted = 27066 trees Therefore, with the new information that the tree farmer planted 4511 trees each day, he planted a total of 27066 trees over the 6 days. ### Answer: 27066
Expected answer: 27066
Correct? Yes
Problem: A florist has 80 vases, each filled with 64 flowers. How many flowers are there in all the vases?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of flowers in all the vases. Given information: - The florist has 80 vases. - Each vase is filled with 64 flowers. Step 1: Find the number of flowers in one vase. Number of flowers in one vase = 64 flowers Step 2: Find the total number of flowers in all the vases. Total number of flowers = Number of vases × Number of flowers in one vase Total number of flowers = 80 × 64 Total number of flowers = 5,120 flowers Therefore, there are 5,120 flowers in all the vases. ### Answer: 5,120
Expected answer: 5120
Correct? Yes
Problem: Suppose now that each vase is filled with 891 flowers instead of 64 flowers. How many flowers are there in all the vases now?
Claude-3 Sonnet:
Okay, let's solve this problem with the new information. Given information: - The florist has 80 vases. - Each vase is filled with 891 flowers. Step 1: Find the number of flowers in one vase. Number of flowers in one vase = 891 flowers Step 2: Find the total number of flowers in all the vases. Total number of flowers = Number of vases × Number of flowers in one vase Total number of flowers = 80 × 891 Total number of flowers = 71,280 flowers Therefore, with each vase filled with 891 flowers, there are 71,280 flowers in all the vases. ### Answer: 71,280
Expected answer: 71280
Correct? Yes
Problem: A quilt maker uses 4932 pieces of cloth to make one blanket. How many pieces of cloth did he/she use?
Claude-3 Sonnet:
To solve this problem, we need to find the number of pieces of cloth used by the quilt maker to make one blanket. Given information: - The quilt maker uses 4932 pieces of cloth to make one blanket. Since the question directly provides the number of pieces of cloth used to make one blanket, we can simply state the given information as the answer. ### Answer: 4932
Expected answer: 4932
Correct? Yes
Problem: Consider the quilt maker decided to create a larger blanket this time, needing a total of 7404 pieces of cloth. How many pieces of cloth would he/she have used in this case?
Claude-3 Sonnet:
To solve this problem, we need to find the number of pieces of cloth the quilt maker would use to create a larger blanket. Given information: - The quilt maker needs a total of 7404 pieces of cloth to create a larger blanket. Since the question directly provides the number of pieces of cloth needed for the larger blanket, we can simply state the given information as the answer. ### Answer: 7404
Expected answer: 7404
Correct? Yes
Problem: A pillow maker produces 40 pillows every hour for 17 hours. How many pillows did they make?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of pillows produced by multiplying the number of pillows produced per hour by the number of hours worked. Given information: - The pillow maker produces 40 pillows every hour. - The pillow maker worked for 17 hours. Number of pillows produced per hour × Number of hours worked = Total number of pillows produced 40 pillows × 17 hours = 680 pillows Therefore, the pillow maker produced 680 pillows in 17 hours. ### Answer: 680
Expected answer: 680
Correct? Yes
Problem: In the previous scenario, if the pillow maker increased their production rate to 460 pillows every hour while still working for the same 40 hours, how many pillows would they make then?
Claude-3 Sonnet:
Okay, let's break this down: * The pillow maker originally produced 40 pillows per hour * They worked for 17 hours * So originally they produced 40 * 17 = 680 pillows Now, the new scenario: * The pillow maker increased their production rate to 460 pillows per hour * They still worked for the same 17 hours To calculate the new total pillows produced: * New production rate (460 pillows per hour) x Hours worked (17 hours) = Total pillows produced * 460 * 17 = 7,820 pillows Therefore, with the increased production rate of 460 pillows per hour while working the same 17 hours, the pillow maker would produce 7,820 pillows. ### Answer: 7,820
Expected answer: 18400
Correct? No
Problem: A monkey picks 9434 bananas each day for 7 days. How many bananas has the monkey picked in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of bananas picked by the monkey in 7 days. Given information: - The monkey picks 9434 bananas each day. - The monkey picks bananas for 7 days. Step 1: Find the number of bananas picked in one day. Number of bananas picked in one day = 9434 Step 2: Find the total number of bananas picked in 7 days. Total number of bananas picked = Number of bananas picked in one day × Number of days Total number of bananas picked = 9434 × 7 Total number of bananas picked = 66038 Therefore, the monkey has picked a total of 66038 bananas in 7 days. ### Answer: 66038
Expected answer: 66038
Correct? Yes
Problem: If the same Monkey instead picked 2926 bananas each day for a week, how many bananas would it have picked in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of bananas picked by the monkey in a week (7 days) when it picks 2926 bananas each day. Given information: - The monkey picks 2926 bananas each day. - The monkey picks bananas for 7 days (a week). Step 1: Find the number of bananas picked in one day. Number of bananas picked in one day = 2926 Step 2: Find the total number of bananas picked in 7 days (a week). Total number of bananas picked = Number of bananas picked in one day × Number of days Total number of bananas picked = 2926 × 7 Total number of bananas picked = 20482 Therefore, if the monkey picked 2926 bananas each day for a week, it would have picked a total of 20482 bananas. ### Answer: 20482
Expected answer: 20482
Correct? Yes
Problem: A ballerina performs 64 pirouettes each day for 21 days. How many pirouettes has she performed overall?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of pirouettes performed by the ballerina over the course of 21 days. Given information: - The ballerina performs 64 pirouettes each day. - The ballerina performs for 21 days. Step 1: Find the number of pirouettes performed in one day. Number of pirouettes performed in one day = 64 Step 2: Find the total number of pirouettes performed in 21 days. Total number of pirouettes performed = Number of pirouettes performed in one day × Number of days Total number of pirouettes performed = 64 × 21 Total number of pirouettes performed = 1,344 Therefore, the ballerina has performed a total of 1,344 pirouettes overall. ### Answer: 1,344
Expected answer: 1344
Correct? Yes
Problem: Suppose the ballerina decided to increase her pirouettes and performed 3075 pirouettes each day for the same 21 days. How many pirouettes has she performed now?
Claude-3 Sonnet:
In this problem, we need to find the total number of pirouettes performed by the ballerina when she increased her daily pirouettes to 3075 for the same 21 days. Given information: - The ballerina performs 3075 pirouettes each day. - The ballerina performs for 21 days. Step 1: Find the number of pirouettes performed in one day. Number of pirouettes performed in one day = 3075 Step 2: Find the total number of pirouettes performed in 21 days. Total number of pirouettes performed = Number of pirouettes performed in one day × Number of days Total number of pirouettes performed = 3075 × 21 Total number of pirouettes performed = 64,575 Therefore, when the ballerina increased her daily pirouettes to 3075, she has performed a total of 64,575 pirouettes over the course of 21 days. ### Answer: 64,575
Expected answer: 64575
Correct? Yes
Problem: A school bus transports 28 students to school every day for 12 days. How many students total have been transported?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of students transported over the 12 days. Given information: - The school bus transports 28 students to school every day. - The bus operates for 12 days. Step 1: Find the number of students transported each day. Number of students transported per day = 28 students Step 2: Find the total number of students transported over 12 days. Total number of students transported = Number of students transported per day × Number of days Total number of students transported = 28 students × 12 days Total number of students transported = 336 students Therefore, the total number of students transported by the school bus over 12 days is 336 students. ### Answer: 336
Expected answer: 336
Correct? Yes
Problem: Suppose the school bus capacity was increased and it could now transport 8194 students to school every day. What would be the total number of students transported to school in 12 days?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of students transported over 12 days with the increased bus capacity. Given information: - The school bus can now transport 8194 students to school every day. - The bus operates for 12 days. Step 1: Find the number of students transported each day. Number of students transported per day = 8194 students Step 2: Find the total number of students transported over 12 days. Total number of students transported = Number of students transported per day × Number of days Total number of students transported = 8194 students × 12 days Total number of students transported = 98,328 students Therefore, with the increased bus capacity, the total number of students transported by the school bus over 12 days is 98,328 students. ### Answer: 98,328
Expected answer: 98328
Correct? Yes
Problem: A facility produces 78 balls per day for 22 days. How many balls do they produce in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of balls produced by multiplying the number of balls produced per day by the number of days. Given information: - The facility produces 78 balls per day. - The facility operates for 22 days. Step 1: Find the number of balls produced in 22 days. Number of balls produced per day × Number of days = Total number of balls produced 78 balls × 22 days = 1,716 balls Therefore, the facility produces a total of 1,716 balls in 22 days. ### Answer: 1716
Expected answer: 1716
Correct? Yes
Problem: Now, imagine the facility didn't produce 78 balls per day, but massively increased production to 3263 balls per day over the same period of 22 days. How many balls do they produce in total now?
Claude-3 Sonnet:
Okay, let's solve this problem with the new information. Given information: - The facility produces 3263 balls per day. - The facility operates for 22 days. Step 1: Find the total number of balls produced in 22 days. Number of balls produced per day × Number of days = Total number of balls produced 3263 balls × 22 days = 71,786 balls Therefore, with the increased production of 3263 balls per day, the facility produces a total of 71,786 balls in 22 days. ### Answer: 71786
Expected answer: 71786
Correct? Yes
Problem: A glasses manufacturer produces 64 glasses per batch, and they managed to produce 22 batches in one day. How many glasses did they produce in a day?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of glasses produced by multiplying the number of glasses per batch with the number of batches produced in a day. Given information: - The manufacturer produces 64 glasses per batch. - The manufacturer produced 22 batches in one day. Step 1: Find the number of glasses produced in one batch. Number of glasses per batch = 64 Step 2: Find the total number of glasses produced in a day. Total number of glasses produced = Number of glasses per batch × Number of batches produced Total number of glasses produced = 64 × 22 Total number of glasses produced = 1,408 Therefore, the glasses manufacturer produced 1,408 glasses in a day. ### Answer: 1,408
Expected answer: 1408
Correct? Yes
Problem: The glasses manufacturer decided to upgrade their production line, and now they are able to produce 821 glasses per batch while still maintaining 22 batches per day. How many glasses are they now able to produce in one day?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of glasses produced by multiplying the new number of glasses per batch with the number of batches produced in a day. Given information: - The manufacturer now produces 821 glasses per batch. - The manufacturer still produces 22 batches in one day. Step 1: Find the number of glasses produced in one batch. Number of glasses per batch = 821 Step 2: Find the total number of glasses produced in a day. Total number of glasses produced = Number of glasses per batch × Number of batches produced Total number of glasses produced = 821 × 22 Total number of glasses produced = 18,062 Therefore, after upgrading their production line, the glasses manufacturer is now able to produce 18,062 glasses in a day. ### Answer: 18,062
Expected answer: 18062
Correct? Yes
Problem: A city bus has a regular route that is 2836 km long. If the bus travels the route 5 times, how many kilometers does it cover?
Claude-3 Sonnet:
To solve this problem, we need to find the total distance covered by the bus when it travels the route 5 times. Given information: - The regular route of the city bus is 2836 km long. - The bus travels the route 5 times. Step 1: Find the distance covered by the bus in one trip. Distance covered in one trip = Length of the regular route Distance covered in one trip = 2836 km Step 2: Find the total distance covered by the bus when it travels the route 5 times. Total distance covered = Distance covered in one trip × Number of trips Total distance covered = 2836 km × 5 Total distance covered = 14180 km Therefore, the city bus covers a total distance of 14180 km when it travels the regular route 5 times. ### Answer: 14180
Expected answer: 14180
Correct? Yes
Problem: Suppose the length of the city bus route changes to 8724 km. If the bus still travels this new route 5 times, how many kilometers does it cover now?
Claude-3 Sonnet:
Okay, let's solve this problem step-by-step: Given information: - The new length of the city bus route is 8724 km. - The bus travels the new route 5 times. Step 1: Find the distance covered by the bus in one trip on the new route. Distance covered in one trip = Length of the new route Distance covered in one trip = 8724 km Step 2: Find the total distance covered by the bus when it travels the new route 5 times. Total distance covered = Distance covered in one trip × Number of trips Total distance covered = 8724 km × 5 Total distance covered = 43620 km Therefore, if the length of the city bus route changes to 8724 km and the bus travels this new route 5 times, it will cover a total distance of 43620 km. ### Answer: 43620
Expected answer: 43620
Correct? Yes
Problem: A pizza restaurant sells 1959 pizzas each day for a period of 4 consecutive days. How many pizzas did they sell altogether?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of pizzas sold over the 4 consecutive days. Given information: - The pizza restaurant sells 1959 pizzas each day. - The period is 4 consecutive days. Step 1: Find the number of pizzas sold in one day. Number of pizzas sold in one day = 1959 pizzas Step 2: Find the total number of pizzas sold in 4 consecutive days. Total number of pizzas sold = Number of pizzas sold in one day × Number of days Total number of pizzas sold = 1959 pizzas × 4 days Total number of pizzas sold = 7836 pizzas Therefore, the pizza restaurant sold 7836 pizzas altogether in 4 consecutive days. ### Answer: 7836
Expected answer: 7836
Correct? Yes
Problem: Suppose the pizza restaurant's sales decreased and they sold 772 pizzas each day instead of 1959 for a period of 4 consecutive days. How many pizzas did they sell in these 4 days?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of pizzas sold over the 4 consecutive days with the new daily sales of 772 pizzas. Given information: - The pizza restaurant sells 772 pizzas each day. - The period is 4 consecutive days. Step 1: Find the number of pizzas sold in one day. Number of pizzas sold in one day = 772 pizzas Step 2: Find the total number of pizzas sold in 4 consecutive days. Total number of pizzas sold = Number of pizzas sold in one day × Number of days Total number of pizzas sold = 772 pizzas × 4 days Total number of pizzas sold = 3088 pizzas Therefore, with the decreased sales of 772 pizzas each day, the pizza restaurant sold 3088 pizzas altogether in 4 consecutive days. ### Answer: 3088
Expected answer: 3088
Correct? Yes
Problem: A mouse eats 85 grains of rice per day for 93 days. How many grains of rice does the mouse eat in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of grains of rice the mouse eats in 93 days. Given information: - The mouse eats 85 grains of rice per day. - The mouse eats rice for 93 days. Step 1: Find the number of grains of rice the mouse eats in 1 day. Number of grains of rice eaten per day = 85 grains Step 2: Find the number of grains of rice the mouse eats in 93 days. Number of grains of rice eaten in 93 days = Number of grains of rice eaten per day × Number of days Number of grains of rice eaten in 93 days = 85 grains × 93 days Number of grains of rice eaten in 93 days = 7,905 grains Therefore, the mouse eats a total of 7,905 grains of rice in 93 days. ### Answer: 7905
Expected answer: 7905
Correct? Yes
Problem: In the previous scenario, consider that the mouse eats 625 grains of rice per day instead of 85. How many grains of rice does the mouse eat in total in the 93 days?
Claude-3 Sonnet:
In this scenario, the mouse eats 625 grains of rice per day for 93 days. Given information: - The mouse eats 625 grains of rice per day. - The mouse eats rice for 93 days. Step 1: Find the number of grains of rice the mouse eats in 1 day. Number of grains of rice eaten per day = 625 grains Step 2: Find the number of grains of rice the mouse eats in 93 days. Number of grains of rice eaten in 93 days = Number of grains of rice eaten per day × Number of days Number of grains of rice eaten in 93 days = 625 grains × 93 days Number of grains of rice eaten in 93 days = 58,125 grains Therefore, if the mouse eats 625 grains of rice per day, it will eat a total of 58,125 grains of rice in 93 days. ### Answer: 58125
Expected answer: 58125
Correct? Yes
Problem: A building has 83 floors, and each floor has 18 windows. How many windows are there in the entire building?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of windows in the building by multiplying the number of floors by the number of windows per floor. Given information: - The building has 83 floors. - Each floor has 18 windows. Step 1: Multiply the number of floors by the number of windows per floor. Total number of windows = Number of floors × Number of windows per floor Total number of windows = 83 × 18 Step 2: Calculate the result. Total number of windows = 83 × 18 Total number of windows = 1,494 Therefore, there are 1,494 windows in the entire building. ### Answer: 1,494
Expected answer: 1494
Correct? Yes
Problem: Suppose the building instead had 4633 floors, each with the same number of 18 windows. How many windows would there be in the entire building now?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of windows in the building by multiplying the new number of floors by the number of windows per floor. Given information: - The building has 4,633 floors. - Each floor has 18 windows. Step 1: Multiply the number of floors by the number of windows per floor. Total number of windows = Number of floors × Number of windows per floor Total number of windows = 4,633 × 18 Step 2: Calculate the result. Total number of windows = 4,633 × 18 Total number of windows = 83,394 Therefore, if the building had 4,633 floors, each with 18 windows, there would be 83,394 windows in the entire building. ### Answer: 83,394
Expected answer: 83394
Correct? Yes
Problem: A toothpaste company produced 2917 tubes for 3 consecutive days. How many toothpaste tubes did they produce in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of toothpaste tubes produced in 3 consecutive days. Given information: - The toothpaste company produced 2917 tubes for 3 consecutive days. Since the number of tubes produced is the same for each day, we can multiply 2917 by 3 to find the total number of tubes produced in 3 consecutive days. Step 1: Multiply the number of tubes produced per day by the number of days. Total number of tubes produced = Number of tubes produced per day × Number of days Total number of tubes produced = 2917 × 3 Total number of tubes produced = 8751 Therefore, the toothpaste company produced a total of 8751 toothpaste tubes in 3 consecutive days. ### Answer: 8751
Expected answer: 8751
Correct? Yes
Problem: The toothpaste company changed their production and now produces 1576 tubes for 3 consecutive days. How many toothpaste tubes do they now produce in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of toothpaste tubes produced in 3 consecutive days with the new production rate. Given information: - The toothpaste company now produces 1576 tubes for 3 consecutive days. Since the number of tubes produced is the same for each day, we can multiply 1576 by 3 to find the total number of tubes produced in 3 consecutive days. Step 1: Multiply the number of tubes produced per day by the number of days. Total number of tubes produced = Number of tubes produced per day × Number of days Total number of tubes produced = 1576 × 3 Total number of tubes produced = 4728 Therefore, with the new production rate, the toothpaste company now produces a total of 4728 toothpaste tubes in 3 consecutive days. ### Answer: 4728
Expected answer: 4728
Correct? Yes
Problem: A student has 90 eraser packs, each containing 81 erasers. How many erasers does the student have in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of erasers the student has by multiplying the number of eraser packs by the number of erasers in each pack. Given information: - The student has 90 eraser packs. - Each eraser pack contains 81 erasers. Step 1: Multiply the number of eraser packs by the number of erasers in each pack. Total number of erasers = Number of eraser packs × Number of erasers in each pack Total number of erasers = 90 × 81 Total number of erasers = 7,290 Therefore, the student has a total of 7,290 erasers. ### Answer: 7,290
Expected answer: 7290
Correct? Yes
Problem: Suppose the student's eraser pack size changes, and instead of carrying 90 packs, they now carry 584 packs, each still containing 81 erasers. How many erasers does the student have now?
Claude-3 Sonnet:
Okay, let's solve this problem with the new information. Given information: - The student has 584 eraser packs. - Each eraser pack contains 81 erasers. To find the total number of erasers, we need to multiply the number of eraser packs by the number of erasers in each pack. Step 1: Multiply the number of eraser packs by the number of erasers in each pack. Total number of erasers = Number of eraser packs × Number of erasers in each pack Total number of erasers = 584 × 81 Total number of erasers = 47,304 Therefore, with 584 eraser packs, each containing 81 erasers, the student now has a total of 47,304 erasers. ### Answer: 47,304
Expected answer: 47304
Correct? Yes
Problem: A baker creates 2 cakes, each requiring 2585 grams of flour. How many grams of flour does the baker need in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total amount of flour required for both cakes. Given information: - The baker creates 2 cakes. - Each cake requires 2585 grams of flour. Step 1: Find the amount of flour required for one cake. Amount of flour required for one cake = 2585 grams Step 2: Find the total amount of flour required for two cakes. Total amount of flour required = Amount of flour required for one cake × Number of cakes Total amount of flour required = 2585 grams × 2 cakes Total amount of flour required = 5170 grams Therefore, the baker needs a total of 5170 grams of flour to create 2 cakes. ### Answer: 5170
Expected answer: 5170
Correct? Yes
Problem: In the previous problem, a baker created 2 cakes, each requiring 2585 grams of flour. But now, let's say the baker decides to use a new recipe that requires 6073 grams of flour per cake instead. How many grams of flour does the baker need to make 2 cakes using the new recipe?
Claude-3 Sonnet:
In this problem, we need to find the total amount of flour required for the baker to make 2 cakes using the new recipe. Given information: - The baker is making 2 cakes. - The new recipe requires 6073 grams of flour per cake. Step 1: Find the amount of flour required for one cake using the new recipe. Amount of flour required for one cake = 6073 grams Step 2: Find the total amount of flour required for two cakes using the new recipe. Total amount of flour required = Amount of flour required for one cake × Number of cakes Total amount of flour required = 6073 grams × 2 cakes Total amount of flour required = 12146 grams Therefore, the baker needs a total of 12146 grams of flour to make 2 cakes using the new recipe. ### Answer: 12146
Expected answer: 12146
Correct? Yes
Problem: A jewelry maker designs 3 necklaces, each with 7303 beads. How many total beads did they use for the necklaces?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of beads used for all three necklaces. Given information: - The jewelry maker designs 3 necklaces. - Each necklace has 7303 beads. Step 1: Find the number of beads used for one necklace. Number of beads per necklace = 7303 Step 2: Find the total number of beads used for all three necklaces. Total number of beads = Number of beads per necklace × Number of necklaces Total number of beads = 7303 × 3 Total number of beads = 21909 Therefore, the jewelry maker used a total of 21909 beads for the three necklaces. ### Answer: 21909
Expected answer: 21909
Correct? Yes
Problem: Instead of using 7303 beads per necklace, the jewelry maker decides to use 9719 beads for each of the 3 necklaces. How many total beads did they use for the necklaces this time?
Claude-3 Sonnet:
Okay, let's solve this problem with the new information. Given information: - The jewelry maker designs 3 necklaces. - Each necklace has 9719 beads. Step 1: Find the number of beads used for one necklace. Number of beads per necklace = 9719 Step 2: Find the total number of beads used for all three necklaces. Total number of beads = Number of beads per necklace × Number of necklaces Total number of beads = 9719 × 3 Total number of beads = 29157 Therefore, with 9719 beads for each of the 3 necklaces, the jewelry maker used a total of 29157 beads. ### Answer: 29157
Expected answer: 29157
Correct? Yes
Problem: A fisherman catches 30 fish each day for 16 days. How many fish has he caught in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of fish caught by multiplying the number of fish caught per day by the number of days. Given information: - The fisherman catches 30 fish each day. - The fisherman fishes for 16 days. Step 1: Find the number of fish caught per day. Number of fish caught per day = 30 Step 2: Find the total number of fish caught by multiplying the number of fish caught per day by the number of days. Total number of fish caught = Number of fish caught per day × Number of days Total number of fish caught = 30 × 16 Total number of fish caught = 480 Therefore, the fisherman has caught a total of 480 fish in 16 days. ### Answer: 480
Expected answer: 480
Correct? Yes
Problem: If the fisherman instead catches 2193 fish each day for the same 30 days, how many fish would he have caught in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of fish caught by multiplying the number of fish caught per day by the number of days. Given information: - The fisherman catches 2193 fish each day. - The fisherman fishes for 30 days. Step 1: Find the number of fish caught per day. Number of fish caught per day = 2193 Step 2: Find the total number of fish caught by multiplying the number of fish caught per day by the number of days. Total number of fish caught = Number of fish caught per day × Number of days Total number of fish caught = 2193 × 30 Total number of fish caught = 65,790 Therefore, if the fisherman catches 2193 fish each day for 30 days, he would have caught a total of 65,790 fish. ### Answer: 65,790
Expected answer: 65790
Correct? Yes
Problem: A paint manufacturer produces 6 batches of paint, each containing 1868 liters. How many liters in total did they produce?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of liters of paint produced by multiplying the number of batches by the number of liters in each batch. Given information: - The paint manufacturer produces 6 batches of paint. - Each batch contains 1868 liters of paint. Step 1: Find the total number of liters of paint produced. Total liters of paint produced = Number of batches × Number of liters per batch Total liters of paint produced = 6 × 1868 liters Total liters of paint produced = 11,208 liters Therefore, the paint manufacturer produced a total of 11,208 liters of paint. ### Answer: 11,208
Expected answer: 11208
Correct? Yes
Problem: The paint manufacturer decides to reduce the size of each batch to 437 liters, but still produces 6 batches. How many liters in total did they produce now?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of liters of paint produced by multiplying the number of batches by the new number of liters in each batch. Given information: - The paint manufacturer produces 6 batches of paint. - Each batch now contains 437 liters of paint. Step 1: Find the total number of liters of paint produced. Total liters of paint produced = Number of batches × Number of liters per batch Total liters of paint produced = 6 × 437 liters Total liters of paint produced = 2,622 liters Therefore, with the reduced batch size of 437 liters, the paint manufacturer produced a total of 2,622 liters of paint. ### Answer: 2,622
Expected answer: 2622
Correct? Yes
Problem: A forest contains 74 trees and each tree produces 10 kilograms of fruits. How many kilograms of fruits does the forest produce?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of kilograms of fruits produced by all the trees in the forest. Given information: - The forest contains 74 trees. - Each tree produces 10 kilograms of fruits. Step 1: Find the number of kilograms of fruits produced by one tree. Number of kilograms of fruits produced by one tree = 10 kilograms Step 2: Find the total number of kilograms of fruits produced by all the trees in the forest. Total number of kilograms of fruits = Number of trees × Number of kilograms of fruits produced by one tree Total number of kilograms of fruits = 74 × 10 kilograms Total number of kilograms of fruits = 740 kilograms Therefore, the forest produces 740 kilograms of fruits. ### Answer: 740
Expected answer: 740
Correct? Yes
Problem: In the same forest, there are 5619 trees each producing 10 kilograms of fruits. How many kilograms of fruits do these trees produce?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of kilograms of fruits produced by all the trees in the forest. Given information: - There are 5619 trees in the forest. - Each tree produces 10 kilograms of fruits. Step 1: Find the number of kilograms of fruits produced by one tree. Number of kilograms of fruits produced by one tree = 10 kilograms Step 2: Find the total number of kilograms of fruits produced by all the trees in the forest. Total number of kilograms of fruits = Number of trees × Number of kilograms of fruits produced by one tree Total number of kilograms of fruits = 5619 × 10 kilograms Total number of kilograms of fruits = 56,190 kilograms Therefore, the 5619 trees in the forest produce 56,190 kilograms of fruits. ### Answer: 56,190
Expected answer: 56190
Correct? Yes
Problem: A farmer manages to grow 41 carrots in each of his 21 vegetable patches. How many carrots does the farmer have in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of carrots grown in all the vegetable patches. Given information: - The farmer has 21 vegetable patches. - Each vegetable patch produces 41 carrots. Step 1: Find the number of carrots grown in one vegetable patch. Number of carrots in one vegetable patch = 41 Step 2: Find the total number of carrots grown in all the vegetable patches. Total number of carrots = Number of carrots in one vegetable patch × Number of vegetable patches Total number of carrots = 41 × 21 Total number of carrots = 861 Therefore, the farmer has a total of 861 carrots. ### Answer: 861
Expected answer: 861
Correct? Yes
Problem: The farmer has now evolved his farming techniques and grown a record-breaking 1194 carrots from each of his 41 vegetable patches. How many carrots does he have now?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of carrots grown in all the vegetable patches with the new farming techniques. Given information: - The farmer has 41 vegetable patches. - Each vegetable patch produces 1194 carrots. Step 1: Find the number of carrots grown in one vegetable patch. Number of carrots in one vegetable patch = 1194 Step 2: Find the total number of carrots grown in all the vegetable patches. Total number of carrots = Number of carrots in one vegetable patch × Number of vegetable patches Total number of carrots = 1194 × 41 Total number of carrots = 48,954 Therefore, with the new farming techniques, the farmer has a total of 48,954 carrots. ### Answer: 48954
Expected answer: 48954
Correct? Yes
Problem: A drum manufacturer produces 3070 drums per day for 7 days. How many drums are produced in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of drums produced in 7 days. Given information: - The drum manufacturer produces 3070 drums per day. - The manufacturer works for 7 days. Step 1: Find the number of drums produced in one day. Number of drums produced in one day = 3070 drums Step 2: Find the total number of drums produced in 7 days. Total number of drums produced = Number of drums produced per day × Number of days Total number of drums produced = 3070 drums × 7 days Total number of drums produced = 21490 drums Therefore, the drum manufacturer produces a total of 21490 drums in 7 days. ### Answer: 21490
Expected answer: 21490
Correct? Yes
Problem: Suppose the drum manufacturer changes its production strategy and starts producing 2161 drums per day for 7 days instead of the 3070 drums per day. How many drums are now produced in total?
Claude-3 Sonnet:
Okay, let's solve this problem with the new information. Given information: - The drum manufacturer now produces 2161 drums per day. - The manufacturer still works for 7 days. Step 1: Find the number of drums produced in one day. Number of drums produced in one day = 2161 drums Step 2: Find the total number of drums produced in 7 days. Total number of drums produced = Number of drums produced per day × Number of days Total number of drums produced = 2161 drums × 7 days Total number of drums produced = 15127 drums Therefore, with the new production strategy of 2161 drums per day for 7 days, the drum manufacturer produces a total of 15127 drums. ### Answer: 15127
Expected answer: 15127
Correct? Yes
Problem: A toothbrush company produces 2949 toothbrushes every hour for 6 hours. How many toothbrushes did they produce in that time?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of toothbrushes produced in 6 hours. Given information: - The toothbrush company produces 2949 toothbrushes every hour. - The company operates for 6 hours. Step 1: Find the number of toothbrushes produced in 1 hour. Number of toothbrushes produced in 1 hour = 2949 Step 2: Find the number of toothbrushes produced in 6 hours. Number of toothbrushes produced in 6 hours = Number of toothbrushes produced in 1 hour × Number of hours Number of toothbrushes produced in 6 hours = 2949 × 6 Number of toothbrushes produced in 6 hours = 17694 Therefore, the toothbrush company produced 17694 toothbrushes in 6 hours. ### Answer: 17694
Expected answer: 17694
Correct? Yes
Problem: The toothbrush company decided to increase its production rate. So now, they produce 6645 toothbrushes every hour for the same 6 hours frame. How many toothbrushes do they produce now in that time?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of toothbrushes produced in 6 hours with the new production rate. Given information: - The toothbrush company now produces 6645 toothbrushes every hour. - The company operates for 6 hours. Step 1: Find the number of toothbrushes produced in 1 hour with the new production rate. Number of toothbrushes produced in 1 hour = 6645 Step 2: Find the number of toothbrushes produced in 6 hours with the new production rate. Number of toothbrushes produced in 6 hours = Number of toothbrushes produced in 1 hour × Number of hours Number of toothbrushes produced in 6 hours = 6645 × 6 Number of toothbrushes produced in 6 hours = 39870 Therefore, with the new production rate, the toothbrush company produces 39870 toothbrushes in 6 hours. ### Answer: 39870
Expected answer: 39870
Correct? Yes
Problem: A farm produces 8938 liters of milk every day for 4 days. How many liters of milk did the farm produce?
Claude-3 Sonnet:
To solve this problem, we need to find the total amount of milk produced by the farm in 4 days. Given information: - The farm produces 8938 liters of milk every day. - The farm produces milk for 4 days. Step 1: Find the amount of milk produced in 1 day. Amount of milk produced in 1 day = 8938 liters Step 2: Find the total amount of milk produced in 4 days. Total amount of milk produced = Amount of milk produced in 1 day × Number of days Total amount of milk produced = 8938 liters × 4 days Total amount of milk produced = 35,752 liters Therefore, the farm produced 35,752 liters of milk in 4 days. ### Answer: 35752
Expected answer: 35752
Correct? Yes
Problem: If the farm previously mentioned reduced its daily milk production to 2776 liter a day, but still maintained that production for 4 days. How many liters of milk would the farm produce now?
Claude-3 Sonnet:
To solve this problem, we need to find the total amount of milk produced by the farm in 4 days with the reduced daily milk production. Given information: - The farm now produces 2776 liters of milk every day. - The farm produces milk for 4 days. Step 1: Find the amount of milk produced in 1 day with the reduced production. Amount of milk produced in 1 day = 2776 liters Step 2: Find the total amount of milk produced in 4 days with the reduced production. Total amount of milk produced = Amount of milk produced in 1 day × Number of days Total amount of milk produced = 2776 liters × 4 days Total amount of milk produced = 11,104 liters Therefore, with the reduced daily milk production of 2776 liters, the farm would produce 11,104 liters of milk in 4 days. ### Answer: 11104
Expected answer: 11104
Correct? Yes
Problem: A puzzle creator designed 2588 puzzles each year for 9 years. How many puzzles did he design in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of puzzles designed over the 9-year period. Given information: - The puzzle creator designed 2588 puzzles each year. - The puzzle creator designed puzzles for 9 years. Step 1: Find the number of puzzles designed in one year. Number of puzzles designed in one year = 2588 Step 2: Find the total number of puzzles designed over 9 years. Total number of puzzles designed = Number of puzzles designed in one year × Number of years Total number of puzzles designed = 2588 × 9 Total number of puzzles designed = 23292 Therefore, the puzzle creator designed a total of 23292 puzzles over the 9-year period. ### Answer: 23292
Expected answer: 23292
Correct? Yes
Problem: The puzzle creator decided to slightly increase his productivity and designed 2704 puzzles each year instead of 2588. How many puzzles did he design over the same 9-year period with this new rate?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of puzzles designed over the 9-year period with the new rate of 2704 puzzles per year. Given information: - The puzzle creator designed 2704 puzzles each year. - The puzzle creator designed puzzles for 9 years. Step 1: Find the number of puzzles designed in one year with the new rate. Number of puzzles designed in one year = 2704 Step 2: Find the total number of puzzles designed over 9 years with the new rate. Total number of puzzles designed = Number of puzzles designed in one year × Number of years Total number of puzzles designed = 2704 × 9 Total number of puzzles designed = 24336 Therefore, with the new rate of 2704 puzzles per year, the puzzle creator designed a total of 24336 puzzles over the 9-year period. ### Answer: 24336
Expected answer: 24336
Correct? Yes
Problem: A person gives 2 gifts, each worth 9797 dollars. What is the total cost of the gifts?
Claude-3 Sonnet:
To solve this problem, we need to find the cost of one gift and then multiply it by the number of gifts. Given information: - The person gives 2 gifts. - Each gift is worth $9,797. Step 1: Find the cost of one gift. Cost of one gift = $9,797 Step 2: Find the total cost of the gifts. Total cost of the gifts = Cost of one gift × Number of gifts Total cost of the gifts = $9,797 × 2 Total cost of the gifts = $19,594 Therefore, the total cost of the two gifts, each worth $9,797, is $19,594. ### Answer: 19594
Expected answer: 19594
Correct? Yes
Problem: The person decided to give 2 other gifts, each worth 6151 dollars instead of 9797 dollars. What is the total cost of these other gifts?
Claude-3 Sonnet:
To solve this problem, we need to find the cost of one gift and then multiply it by the number of gifts. Given information: - The person gives 2 gifts. - Each gift is worth $6,151. Step 1: Find the cost of one gift. Cost of one gift = $6,151 Step 2: Find the total cost of the gifts. Total cost of the gifts = Cost of one gift × Number of gifts Total cost of the gifts = $6,151 × 2 Total cost of the gifts = $12,302 Therefore, the total cost of the two gifts, each worth $6,151, is $12,302. ### Answer: 12302
Expected answer: 12302
Correct? Yes
Problem: In a video game, a player collects 1 diamond worth 6338 points. How many points has the player collected from diamonds?
Claude-3 Sonnet:
To solve this problem, we need to find the total points collected from the single diamond. Given information: - The player collects 1 diamond. - Each diamond is worth 6338 points. To find the total points collected from diamonds, we multiply the number of diamonds by the points per diamond. Total points collected from diamonds = Number of diamonds × Points per diamond Total points collected from diamonds = 1 × 6338 Total points collected from diamonds = 6338 points Therefore, the player has collected 6338 points from diamonds. ### Answer: 6338
Expected answer: 6338
Correct? Yes
Problem: In the same video game, consider that the player collects 1 diamond, but in this level, the diamond is worth only 166 points. How many points does the player collect from this diamond?
Claude-3 Sonnet:
To solve this problem, we need to find the points collected from the single diamond in this level. Given information: - The player collects 1 diamond. - In this level, each diamond is worth 166 points. To find the total points collected from the diamond, we multiply the number of diamonds by the points per diamond in this level. Total points collected from the diamond = Number of diamonds × Points per diamond in this level Total points collected from the diamond = 1 × 166 Total points collected from the diamond = 166 points Therefore, the player collects 166 points from this diamond in this level. ### Answer: 166
Expected answer: 166
Correct? Yes
Problem: A sock company packages 81 pairs of socks in one box. If they made 98 boxes, how many pairs of socks did they make?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of pairs of socks in all the boxes. Given information: - One box contains 81 pairs of socks. - The company made 98 boxes. Step 1: Find the number of pairs of socks in one box. Number of pairs of socks in one box = 81 pairs Step 2: Find the total number of pairs of socks in all the boxes. Total number of pairs of socks = Number of pairs of socks in one box × Number of boxes Total number of pairs of socks = 81 pairs × 98 boxes Total number of pairs of socks = 7,938 pairs Therefore, the sock company made 7,938 pairs of socks. ### Answer: 7,938
Expected answer: 7938
Correct? Yes
Problem: Now consider if the sock company were to package 645 pairs of socks in one box instead. If they made 98 boxes again, how many pairs of socks would they make then?
Claude-3 Sonnet:
Okay, let's solve this problem. Given information: - One box contains 645 pairs of socks. - The company made 98 boxes. Step 1: Find the number of pairs of socks in one box. Number of pairs of socks in one box = 645 pairs Step 2: Find the total number of pairs of socks in all the boxes. Total number of pairs of socks = Number of pairs of socks in one box × Number of boxes Total number of pairs of socks = 645 pairs × 98 boxes Total number of pairs of socks = 63,210 pairs Therefore, if the sock company packaged 645 pairs of socks in one box and made 98 boxes, they would make a total of 63,210 pairs of socks. ### Answer: 63,210
Expected answer: 63210
Correct? Yes
Problem: A telescope magnifies an object 67 times and each magnification adds 86 units to the object's size. What is the total size of the object with added magnification?
Claude-3 Sonnet:
To solve this problem, we need to find the original size of the object and then add the magnification units to it. Given information: - The telescope magnifies an object 67 times. - Each magnification adds 86 units to the object's size. Step 1: Find the original size of the object. Let the original size of the object be x units. After magnification, the size becomes 67x units. Step 2: Find the total size of the object with added magnification. Total size of the object with added magnification = Original size + Magnification units Total size of the object with added magnification = x + (67 × 86) Total size of the object with added magnification = x + 5,742 Since we don't know the original size of the object (x), we can represent the total size as an expression. ### Answer: x + 5,742 units
Expected answer: 5762
Correct? No
Problem: A computer company produces 1010 computer units every day over a period of 7 days. How many computer units have they manufactured in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of computer units produced over the period of 7 days. Given information: - The computer company produces 1010 computer units every day. - The production period is 7 days. Step 1: Find the number of computer units produced in one day. Number of computer units produced in one day = 1010 Step 2: Find the total number of computer units produced in 7 days. Total number of computer units produced = Number of computer units produced in one day × Number of days Total number of computer units produced = 1010 × 7 Total number of computer units produced = 7070 Therefore, the computer company has manufactured a total of 7070 computer units over the period of 7 days. ### Answer: 7070
Expected answer: 7070
Correct? Yes
Problem: If the computer company was instead able to produce 8413 computer units each day over the same period of 7 days, how many units have they manufactured in total now?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of computer units produced over the period of 7 days with the new daily production rate. Given information: - The computer company now produces 8413 computer units every day. - The production period is still 7 days. Step 1: Find the number of computer units produced in one day. Number of computer units produced in one day = 8413 Step 2: Find the total number of computer units produced in 7 days. Total number of computer units produced = Number of computer units produced in one day × Number of days Total number of computer units produced = 8413 × 7 Total number of computer units produced = 58891 Therefore, with the new daily production rate of 8413 computer units, the computer company has manufactured a total of 58891 computer units over the period of 7 days. ### Answer: 58891
Expected answer: 58891
Correct? Yes
Problem: A musician writes a song that lasts 9888 seconds. If it is played back-to-back twice, how many seconds does it last in total?
Claude-3 Sonnet:
To solve this problem, we need to find the duration of the song when played back-to-back twice. Given information: - The song lasts 9888 seconds. - The song is played back-to-back twice. Step 1: Find the duration of the song when played once. Duration of the song when played once = 9888 seconds Step 2: Find the duration of the song when played back-to-back twice. Duration of the song when played back-to-back twice = Duration of the song when played once × 2 Duration of the song when played back-to-back twice = 9888 seconds × 2 Duration of the song when played back-to-back twice = 19776 seconds Therefore, when the song is played back-to-back twice, it lasts for a total of 19776 seconds. ### Answer: 19776
Expected answer: 19776
Correct? Yes
Problem: If that musician decides to write a new song that lasts 3435 seconds and it is also played back-to-back twice, how many seconds will this new song last in total?
Claude-3 Sonnet:
To solve this problem, we need to find the duration of the new song when played back-to-back twice. Given information: - The new song lasts 3435 seconds. - The new song is played back-to-back twice. Step 1: Find the duration of the new song when played once. Duration of the new song when played once = 3435 seconds Step 2: Find the duration of the new song when played back-to-back twice. Duration of the new song when played back-to-back twice = Duration of the new song when played once × 2 Duration of the new song when played back-to-back twice = 3435 seconds × 2 Duration of the new song when played back-to-back twice = 6870 seconds Therefore, when the new song is played back-to-back twice, it lasts for a total of 6870 seconds. ### Answer: 6870
Expected answer: 6870
Correct? Yes
Problem: A crayon factory produces 4 boxes of crayons, each containing 4535 crayons. How many crayons have they produced in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of crayons produced by multiplying the number of boxes by the number of crayons in each box. Given information: - The crayon factory produces 4 boxes of crayons. - Each box contains 4535 crayons. Step 1: Find the total number of crayons produced. Total number of crayons = Number of boxes × Number of crayons per box Total number of crayons = 4 × 4535 Total number of crayons = 18,140 Therefore, the crayon factory has produced a total of 18,140 crayons. ### Answer: 18,140
Expected answer: 18140
Correct? Yes
Problem: The crayon factory has increased its output. Now, it produces 4 boxes of crayons, each containing 7780 crayons. How many crayons does the factory produce with this increased output?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of crayons produced by multiplying the number of boxes by the number of crayons in each box with the increased output. Given information: - The crayon factory now produces 4 boxes of crayons. - Each box now contains 7780 crayons. Step 1: Find the total number of crayons produced with the increased output. Total number of crayons = Number of boxes × Number of crayons per box Total number of crayons = 4 × 7780 Total number of crayons = 31,120 Therefore, with the increased output, the crayon factory now produces a total of 31,120 crayons. ### Answer: 31,120
Expected answer: 31120
Correct? Yes
Problem: A backpack brand produces 4563 bags daily for a week. How many backpacks do they produce in total?
Claude-3 Sonnet:
To solve this problem, we need to find the number of backpacks produced in a week. Given information: - The backpack brand produces 4563 bags daily. - We need to find the total number of backpacks produced in a week. Step 1: Find the number of days in a week. Number of days in a week = 7 days Step 2: Calculate the total number of backpacks produced in a week. Total number of backpacks produced in a week = Number of backpacks produced daily × Number of days in a week Total number of backpacks produced in a week = 4563 × 7 Total number of backpacks produced in a week = 31,941 Therefore, the backpack brand produces a total of 31,941 backpacks in a week. ### Answer: 31941
Expected answer: 31941
Correct? Yes
Problem: If the same backpack brand instead produces 9981 bags daily for a week, how many backpacks would they produce in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of backpacks produced by the brand when they produce 9981 bags daily for a week. Given information: - The backpack brand produces 9981 bags daily. - We need to find the total number of backpacks produced in a week. Step 1: Find the number of days in a week. Number of days in a week = 7 days Step 2: Calculate the total number of backpacks produced in a week. Total number of backpacks produced in a week = Number of backpacks produced daily × Number of days in a week Total number of backpacks produced in a week = 9981 × 7 Total number of backpacks produced in a week = 69,867 Therefore, if the backpack brand produces 9981 bags daily for a week, they would produce a total of 69,867 backpacks. ### Answer: 69867
Expected answer: 69867
Correct? Yes
Problem: A roller skate company makes 95 pairs of roller skates every hour, for 17 hours a day. How many pairs of roller skates do they make in a day?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of pairs of roller skates the company makes in a day. Given information: - The company makes 95 pairs of roller skates every hour. - The company works for 17 hours a day. Step 1: Find the number of pairs of roller skates made in 17 hours. Number of pairs of roller skates made per hour × Number of hours worked per day = Total number of pairs of roller skates made per day 95 pairs × 17 hours = 1,615 pairs Therefore, the roller skate company makes 1,615 pairs of roller skates in a day. ### Answer: 1,615
Expected answer: 1615
Correct? Yes
Problem: Now, consider the roller skate company now makes 3137 pairs of roller skates every hour instead of 95. How many pairs of roller skates do they make in a day?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of pairs of roller skates the company makes in a day with the new production rate. Given information: - The company now makes 3,137 pairs of roller skates every hour. - The company still works for 17 hours a day. Step 1: Find the number of pairs of roller skates made in 17 hours. Number of pairs of roller skates made per hour × Number of hours worked per day = Total number of pairs of roller skates made per day 3,137 pairs × 17 hours = 53,329 pairs Therefore, with the new production rate, the roller skate company makes 53,329 pairs of roller skates in a day. ### Answer: 53,329
Expected answer: 53329
Correct? Yes
Problem: A chair designer uses 97 pieces of wood for each chair and designs 97 chairs. How many pieces of wood are used in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of pieces of wood used for all the chairs. Given information: - The chair designer uses 97 pieces of wood for each chair. - The chair designer designs 97 chairs. To find the total number of pieces of wood used, we need to multiply the number of pieces of wood used for one chair by the number of chairs designed. Total number of pieces of wood used = Number of pieces of wood used for one chair × Number of chairs designed Total number of pieces of wood used = 97 × 97 Total number of pieces of wood used = 9,409 Therefore, the chair designer used a total of 9,409 pieces of wood for designing 97 chairs. ### Answer: 9,409
Expected answer: 9409
Correct? Yes
Problem: After the first batch of chairs, the chair designer decides to use 269 pieces of wood for each chair but still designs 97 chairs. How many pieces of wood are used this time?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of pieces of wood used for all the chairs in the second batch. Given information: - The chair designer uses 269 pieces of wood for each chair in the second batch. - The chair designer designs 97 chairs in the second batch. To find the total number of pieces of wood used, we need to multiply the number of pieces of wood used for one chair by the number of chairs designed. Total number of pieces of wood used = Number of pieces of wood used for one chair × Number of chairs designed Total number of pieces of wood used = 269 × 97 Total number of pieces of wood used = 26,093 Therefore, the chair designer used a total of 26,093 pieces of wood for designing 97 chairs in the second batch. ### Answer: 26,093
Expected answer: 26093
Correct? Yes
Problem: A sports store sells 20 pairs of ice skates per day, each priced at $99. Determine the total revenue in one day?
Claude-3 Sonnet:
To solve this problem, we need to find the total revenue by multiplying the number of pairs of ice skates sold per day by the price of each pair. Given information: - The sports store sells 20 pairs of ice skates per day. - Each pair of ice skates is priced at $99. Step 1: Find the total revenue by multiplying the number of pairs of ice skates sold per day by the price of each pair. Total revenue = Number of pairs of ice skates sold per day × Price of each pair Total revenue = 20 × $99 Total revenue = $1,980 Therefore, the total revenue of the sports store in one day from selling ice skates is $1,980. ### Answer: $1,980
Expected answer: 1980
Correct? Yes
Problem: A sports store originally thought they sold 20 pairs of ice skates per day, each priced at $99. But then, they realized that they actually sold 943 pairs of ice skates per day. Determine the total revenue of the sports store in one day considering the updated quantity of sold ice skates?
Claude-3 Sonnet:
To solve this problem, we need to find the total revenue by multiplying the updated number of pairs of ice skates sold per day by the price of each pair. Given information: - The sports store actually sold 943 pairs of ice skates per day. - Each pair of ice skates is priced at $99. Step 1: Find the total revenue by multiplying the updated number of pairs of ice skates sold per day by the price of each pair. Total revenue = Number of pairs of ice skates sold per day × Price of each pair Total revenue = 943 × $99 Total revenue = $93,357 Therefore, the total revenue of the sports store in one day from selling 943 pairs of ice skates is $93,357. ### Answer: $93,357
Expected answer: 93357
Correct? Yes
Problem: A zookeeper is tasked with feeding 73 flamingos. Each flamingo eats 10 shrimp every day. How many shrimp does the zookeeper need to feed all the flamingos for one day?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of shrimp required for all the flamingos in one day. Given information: - There are 73 flamingos. - Each flamingo eats 10 shrimp every day. Step 1: Find the number of shrimp required for one flamingo in one day. Number of shrimp required for one flamingo in one day = 10 shrimp Step 2: Find the total number of shrimp required for all 73 flamingos in one day. Total number of shrimp required = Number of flamingos × Number of shrimp required for one flamingo Total number of shrimp required = 73 × 10 shrimp Total number of shrimp required = 730 shrimp Therefore, the zookeeper needs 730 shrimp to feed all the flamingos for one day. ### Answer: 730
Expected answer: 730
Correct? Yes
Problem: Suppose instead of 73 flamingos, the zookeeper had to feed 4695 flamingos. Each flamingo still eats 10 shrimp every day. How many shrimp would the zookeeper need to feed all the flamingos for one day?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of shrimp required for all the flamingos in one day. Given information: - There are 4695 flamingos. - Each flamingo eats 10 shrimp every day. Step 1: Find the number of shrimp required for one flamingo in one day. Number of shrimp required for one flamingo in one day = 10 shrimp Step 2: Find the total number of shrimp required for all 4695 flamingos in one day. Total number of shrimp required = Number of flamingos × Number of shrimp required for one flamingo Total number of shrimp required = 4695 × 10 shrimp Total number of shrimp required = 46950 shrimp Therefore, the zookeeper needs 46950 shrimp to feed all the flamingos for one day. ### Answer: 46950
Expected answer: 46950
Correct? Yes
Problem: A beach ball factory produces 83 beach balls each hour for 89 hours. How many beach balls have they made?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of beach balls produced by multiplying the number of beach balls produced per hour by the number of hours the factory operates. Given information: - The beach ball factory produces 83 beach balls each hour. - The factory operates for 89 hours. Number of beach balls produced per hour × Number of hours = Total number of beach balls produced 83 beach balls per hour × 89 hours = 7,387 beach balls Therefore, the beach ball factory has made 7,387 beach balls. ### Answer: 7,387
Expected answer: 7387
Correct? Yes
Problem: The beach ball factory's production increases and they now produce 566 beach balls each hour for 89 hours. How many beach balls have they now made?
Claude-3 Sonnet:
Okay, let's solve this problem with the new information. Given information: - The beach ball factory now produces 566 beach balls each hour. - The factory operates for 89 hours. To find the total number of beach balls produced, we need to multiply the number of beach balls produced per hour by the number of hours the factory operates. Number of beach balls produced per hour × Number of hours = Total number of beach balls produced 566 beach balls per hour × 89 hours = 50,374 beach balls Therefore, with the increased production rate, the beach ball factory has now made 50,374 beach balls. ### Answer: 50,374
Expected answer: 50374
Correct? Yes
Problem: A marine biologist finds 91 groups of starfish, each group containing 36 starfish. How many starfish did they find in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of starfish by multiplying the number of groups by the number of starfish in each group. Given information: - The marine biologist found 91 groups of starfish. - Each group contained 36 starfish. Step 1: Multiply the number of groups by the number of starfish in each group. Total number of starfish = Number of groups × Number of starfish in each group Total number of starfish = 91 × 36 Step 2: Calculate the total number of starfish. Total number of starfish = 91 × 36 Total number of starfish = 3,276 Therefore, the marine biologist found a total of 3,276 starfish. ### Answer: 3,276
Expected answer: 3276
Correct? Yes
Problem: The marine biologist initially mistook some other marine creatures for starfish. After careful examination, she found that there were actually 2771 groups of starfish, not 91. Each group still contained 36 starfish. How many starfish were there really?
Claude-3 Sonnet:
Okay, let's recalculate the total number of starfish with the updated information. Given information: - The marine biologist found 2,771 groups of starfish. - Each group contained 36 starfish. Step 1: Multiply the number of groups by the number of starfish in each group. Total number of starfish = Number of groups × Number of starfish in each group Total number of starfish = 2,771 × 36 Step 2: Calculate the total number of starfish. Total number of starfish = 2,771 × 36 Total number of starfish = 99,756 Therefore, after careful examination, the marine biologist found that there were actually 99,756 starfish. ### Answer: 99,756
Expected answer: 99756
Correct? Yes
Problem: A community builds 37 jungle gyms, each one requiring 74 pieces. How many total pieces are used to build all the jungle gyms?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of pieces required for all the jungle gyms. Given information: - The community builds 37 jungle gyms. - Each jungle gym requires 74 pieces. Step 1: Find the number of pieces required for one jungle gym. Number of pieces required for one jungle gym = 74 pieces Step 2: Find the total number of pieces required for all 37 jungle gyms. Total number of pieces = Number of jungle gyms × Number of pieces per jungle gym Total number of pieces = 37 × 74 Step 3: Calculate the total number of pieces. Total number of pieces = 37 × 74 Total number of pieces = 2,738 Therefore, the total number of pieces used to build all the jungle gyms is 2,738. ### Answer: 2,738
Expected answer: 2738
Correct? Yes
Problem: Suppose instead of requiring 74 pieces, each jungle gym requires 579 pieces. How many total pieces are now used to build all 37 jungle gyms?
Claude-3 Sonnet:
Okay, let's solve this problem with the new information. Given information: - The community builds 37 jungle gyms. - Each jungle gym requires 579 pieces. Step 1: Find the number of pieces required for one jungle gym. Number of pieces required for one jungle gym = 579 pieces Step 2: Find the total number of pieces required for all 37 jungle gyms. Total number of pieces = Number of jungle gyms × Number of pieces per jungle gym Total number of pieces = 37 × 579 Step 3: Calculate the total number of pieces. Total number of pieces = 37 × 579 Total number of pieces = 21,423 Therefore, with each jungle gym requiring 579 pieces, the total number of pieces used to build all 37 jungle gyms is 21,423. ### Answer: 21,423
Expected answer: 21423
Correct? Yes
Problem: A phone manufacturing company produces 9978 phones every hour for 9 hours. How many phones have they produced?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of phones produced in 9 hours. Given information: - The phone manufacturing company produces 9978 phones every hour. - The company operates for 9 hours. Step 1: Find the number of phones produced in 1 hour. Number of phones produced in 1 hour = 9978 phones Step 2: Find the number of phones produced in 9 hours. Number of phones produced in 9 hours = Number of phones produced in 1 hour × Number of hours Number of phones produced in 9 hours = 9978 phones × 9 hours Number of phones produced in 9 hours = 89,802 phones Therefore, the phone manufacturing company has produced 89,802 phones in 9 hours. ### Answer: 89,802
Expected answer: 89802
Correct? Yes
Problem: If the phone manufacturing company instead produces 3458 phones every hour for 9 hours, how many phones have they produced now?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of phones produced in 9 hours when the company produces 3458 phones every hour. Given information: - The phone manufacturing company produces 3458 phones every hour. - The company operates for 9 hours. Step 1: Find the number of phones produced in 1 hour. Number of phones produced in 1 hour = 3458 phones Step 2: Find the number of phones produced in 9 hours. Number of phones produced in 9 hours = Number of phones produced in 1 hour × Number of hours Number of phones produced in 9 hours = 3458 phones × 9 hours Number of phones produced in 9 hours = 31,122 phones Therefore, if the phone manufacturing company produces 3458 phones every hour for 9 hours, they have produced 31,122 phones. ### Answer: 31,122
Expected answer: 31122
Correct? Yes
Problem: A Princess owns 16 dresses, each with 72 sequins. How many sequins does the Princess have in total on all her dresses?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of sequins on all the dresses owned by the Princess. Given information: - The Princess owns 16 dresses. - Each dress has 72 sequins. Step 1: Find the number of sequins on one dress. Number of sequins on one dress = 72 Step 2: Find the total number of sequins on all the dresses. Total number of sequins = Number of sequins on one dress × Number of dresses Total number of sequins = 72 × 16 Total number of sequins = 1,152 Therefore, the Princess has a total of 1,152 sequins on all her dresses. ### Answer: 1,152
Expected answer: 1152
Correct? Yes
Problem: In the original estimation, it was mistakenly counted that the Princess owns 16 dresses. In reality, she owns 1016 dresses, each with 72 sequins. How many sequins does the Princess have in total on all her dresses now?
Claude-3 Sonnet:
Okay, let's recalculate the total number of sequins with the updated information. Given information: - The Princess owns 1016 dresses. - Each dress has 72 sequins. Step 1: Find the number of sequins on one dress. Number of sequins on one dress = 72 Step 2: Find the total number of sequins on all the dresses. Total number of sequins = Number of sequins on one dress × Number of dresses Total number of sequins = 72 × 1016 Total number of sequins = 73,152 Therefore, with 1016 dresses, each having 72 sequins, the Princess has a total of 73,152 sequins on all her dresses. ### Answer: 73,152
Expected answer: 73152
Correct? Yes
Problem: A shoe factory makes 5227 shoes every day for 8 days. How many shoes have they made?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of shoes made in 8 days. Given information: - The shoe factory makes 5227 shoes every day. - The factory operates for 8 days. Step 1: Find the number of shoes made in one day. Number of shoes made in one day = 5227 shoes Step 2: Find the total number of shoes made in 8 days. Total number of shoes made in 8 days = Number of shoes made in one day × Number of days Total number of shoes made in 8 days = 5227 shoes × 8 days Total number of shoes made in 8 days = 41,816 shoes Therefore, the shoe factory has made 41,816 shoes in 8 days. ### Answer: 41,816
Expected answer: 41816
Correct? Yes
Problem: Suppose the shoe factory instead made 2311 shoes each day for the same 8 days. How many shoes would they have made then?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of shoes made by the factory when it produces 2311 shoes each day for 8 days. Given information: - The shoe factory makes 2311 shoes every day. - The factory operates for 8 days. Step 1: Find the number of shoes made in one day. Number of shoes made in one day = 2311 shoes Step 2: Find the total number of shoes made in 8 days. Total number of shoes made in 8 days = Number of shoes made in one day × Number of days Total number of shoes made in 8 days = 2311 shoes × 8 days Total number of shoes made in 8 days = 18,488 shoes Therefore, if the shoe factory made 2311 shoes each day for 8 days, they would have made a total of 18,488 shoes. ### Answer: 18,488
Expected answer: 18488
Correct? Yes
Problem: A cheese factory produces 7975 kilograms of cheese every day for 4 days. How many kilograms of cheese have they produced?
Claude-3 Sonnet:
To solve this problem, we need to find the total amount of cheese produced in 4 days. Given information: - The cheese factory produces 7975 kilograms of cheese every day. - The cheese factory operates for 4 days. Step 1: Find the amount of cheese produced in 1 day. Amount of cheese produced in 1 day = 7975 kilograms Step 2: Find the total amount of cheese produced in 4 days. Total amount of cheese produced = Amount of cheese produced in 1 day × Number of days Total amount of cheese produced = 7975 kilograms × 4 days Total amount of cheese produced = 31900 kilograms Therefore, the cheese factory has produced 31900 kilograms of cheese in 4 days. ### Answer: 31900
Expected answer: 31900
Correct? Yes
Problem: If the cheese factory actually produced 4145 kilograms of cheese each day instead of 7975 kilograms, how many kilograms of cheese would they have produced in 4 days?
Claude-3 Sonnet:
Okay, let's solve this problem with the new information. Given information: - The cheese factory produces 4145 kilograms of cheese every day. - The cheese factory operates for 4 days. Step 1: Find the amount of cheese produced in 1 day. Amount of cheese produced in 1 day = 4145 kilograms Step 2: Find the total amount of cheese produced in 4 days. Total amount of cheese produced = Amount of cheese produced in 1 day × Number of days Total amount of cheese produced = 4145 kilograms × 4 days Total amount of cheese produced = 16580 kilograms Therefore, if the cheese factory produced 4145 kilograms of cheese each day, they would have produced 16580 kilograms of cheese in 4 days. ### Answer: 16580
Expected answer: 16580
Correct? Yes
Problem: In a sandbox, there are 8061 grains of sand in each of 9 piles. How many grains of sand are there in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of grains of sand in all 9 piles. Given information: - There are 9 piles of sand in the sandbox. - Each pile contains 8061 grains of sand. Step 1: Find the number of grains of sand in one pile. Number of grains of sand in one pile = 8061 Step 2: Find the total number of grains of sand in all 9 piles. Total number of grains of sand = Number of grains of sand in one pile × Number of piles Total number of grains of sand = 8061 × 9 Total number of grains of sand = 72549 Therefore, there are 72549 grains of sand in total in the sandbox. ### Answer: 72549
Expected answer: 72549
Correct? Yes
Problem: If instead, there were 9553 grains of sand in each of the 9 piles in the sandbox, how many grains of sand would there be in total now?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of grains of sand in all 9 piles when each pile contains 9553 grains of sand. Given information: - There are 9 piles of sand in the sandbox. - Each pile contains 9553 grains of sand. Step 1: Find the number of grains of sand in one pile. Number of grains of sand in one pile = 9553 Step 2: Find the total number of grains of sand in all 9 piles. Total number of grains of sand = Number of grains of sand in one pile × Number of piles Total number of grains of sand = 9553 × 9 Total number of grains of sand = 85977 Therefore, if there were 9553 grains of sand in each of the 9 piles in the sandbox, there would be a total of 85977 grains of sand. ### Answer: 85977
Expected answer: 85977
Correct? Yes
Problem: A police station receives 20 emergency calls every day. If this continues for 93 days, how many emergency calls will they have received in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of emergency calls received by multiplying the number of calls per day by the number of days. Given information: - The police station receives 20 emergency calls every day. - The situation continues for 93 days. Step 1: Find the number of emergency calls received per day. Number of emergency calls per day = 20 Step 2: Find the total number of emergency calls received in 93 days. Total number of emergency calls = Number of emergency calls per day × Number of days Total number of emergency calls = 20 × 93 Total number of emergency calls = 1,860 Therefore, the police station will have received a total of 1,860 emergency calls in 93 days. ### Answer: 1,860
Expected answer: 1860
Correct? Yes
Problem: The police station adjusted its data and found out that they actually receive 20 emergency calls every day for 2675 days. How many emergency calls will they have received given this new information?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of emergency calls received by multiplying the number of calls per day by the number of days. Given information: - The police station receives 20 emergency calls every day. - The situation continues for 2,675 days. Step 1: Find the number of emergency calls received per day. Number of emergency calls per day = 20 Step 2: Find the total number of emergency calls received in 2,675 days. Total number of emergency calls = Number of emergency calls per day × Number of days Total number of emergency calls = 20 × 2,675 Total number of emergency calls = 53,500 Therefore, the police station will have received a total of 53,500 emergency calls in 2,675 days. ### Answer: 53,500
Expected answer: 53500
Correct? Yes
Problem: A baby says 6569 words in a day for 8 days. How many words does the baby say in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of words the baby says in 8 days. Given information: - The baby says 6569 words in a day. - The baby says the same number of words for 8 days. Step 1: Find the number of words the baby says in one day. Number of words in one day = 6569 words Step 2: Find the total number of words the baby says in 8 days. Total number of words in 8 days = Number of words in one day × Number of days Total number of words in 8 days = 6569 words × 8 days Total number of words in 8 days = 52,552 words Therefore, the baby says a total of 52,552 words in 8 days. ### Answer: 52552
Expected answer: 52552
Correct? Yes
Problem: If the baby instead said 6695 words per day for the same 8 days, how many words does the baby say in total now?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of words the baby says in 8 days when the baby says 6695 words per day. Given information: - The baby says 6695 words in a day. - The baby says the same number of words for 8 days. Step 1: Find the number of words the baby says in one day. Number of words in one day = 6695 words Step 2: Find the total number of words the baby says in 8 days. Total number of words in 8 days = Number of words in one day × Number of days Total number of words in 8 days = 6695 words × 8 days Total number of words in 8 days = 53,560 words Therefore, if the baby says 6695 words per day for 8 days, the baby says a total of 53,560 words. ### Answer: 53560
Expected answer: 53560
Correct? Yes
Problem: On an ice island, each day a penguin lays 48 eggs for 54 days. How many eggs does the penguin lay in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of eggs laid by the penguin over the course of 54 days. Given information: - The penguin lays 48 eggs per day. - The penguin lays eggs for 54 days. Step 1: Find the number of eggs laid per day. Number of eggs laid per day = 48 eggs Step 2: Find the total number of eggs laid in 54 days. Total number of eggs laid = Number of eggs laid per day × Number of days Total number of eggs laid = 48 eggs × 54 days Total number of eggs laid = 2,592 eggs Therefore, the penguin lays a total of 2,592 eggs on the ice island over the course of 54 days. ### Answer: 2,592
Expected answer: 2592
Correct? Yes
Problem: A hat maker has crafted 9 unique hats, each with a special design consisting of 3084 stitches. How many stitches are there in total across all hats?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of stitches in all the hats. Given information: - The hat maker has crafted 9 unique hats. - Each hat has a special design consisting of 3084 stitches. Step 1: Find the number of stitches in one hat. Number of stitches in one hat = 3084 stitches Step 2: Find the total number of stitches in all 9 hats. Total number of stitches = Number of stitches in one hat × Number of hats Total number of stitches = 3084 × 9 Total number of stitches = 27756 stitches Therefore, there are 27756 stitches in total across all 9 hats. ### Answer: 27756
Expected answer: 27756
Correct? Yes
Problem: Suppose the hat maker instead crafted 9 unique hats, each with a more complex design consisting of 9163 stitches. How many stitches would be there in total across all hats in this scenario?
Claude-3 Sonnet:
In this scenario, we need to find the total number of stitches in all the hats, given that each hat has a more complex design consisting of 9163 stitches. Given information: - The hat maker has crafted 9 unique hats. - Each hat has a more complex design consisting of 9163 stitches. Step 1: Find the number of stitches in one hat. Number of stitches in one hat = 9163 stitches Step 2: Find the total number of stitches in all 9 hats. Total number of stitches = Number of stitches in one hat × Number of hats Total number of stitches = 9163 × 9 Total number of stitches = 82467 stitches Therefore, with each hat having a more complex design consisting of 9163 stitches, there would be a total of 82467 stitches across all 9 hats. ### Answer: 82467
Expected answer: 82467
Correct? Yes
Problem: A certain breed of cat has an average of 3393 strands of fur. If you have one of these cats, how many strands of fur does it have?
Claude-3 Sonnet:
To solve this problem, we need to understand that the given number, 3393, represents the average number of strands of fur for this particular breed of cat. When we are given an average value, it means that individual instances may vary from that average, but the average is calculated by considering all instances. In this case, if you have one cat of this breed, it is reasonable to assume that the number of strands of fur it has is approximately equal to the given average value of 3393. Therefore, the number of strands of fur that your cat of this breed has is likely to be around 3393. ### Answer: 3393
Expected answer: 3393
Correct? Yes
Problem: Suppose instead of the previous breed, you have a different breed of cat that has an average of 5245 strands of fur. If you have one of these cats, how many strands of fur does it have?
Claude-3 Sonnet:
Given information: - The breed of cat has an average of 5245 strands of fur. - You have one cat of this breed. Since the question states the average number of strands of fur for this breed, it is reasonable to assume that an individual cat of this breed will have a number of strands close to the given average. Therefore, if you have one cat of this breed, it is likely to have approximately 5245 strands of fur. ### Answer: 5245
Expected answer: 5245
Correct? Yes
Problem: A bakery makes 2 cakes, each with 2873 calories. How many calories are there in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of calories in the two cakes. Given information: - The bakery makes 2 cakes. - Each cake has 2873 calories. Step 1: Find the number of calories in one cake. Number of calories in one cake = 2873 calories Step 2: Find the total number of calories in two cakes. Total number of calories = Number of calories in one cake × Number of cakes Total number of calories = 2873 calories × 2 cakes Total number of calories = 5746 calories Therefore, there are 5746 calories in total in the two cakes made by the bakery. ### Answer: 5746
Expected answer: 5746
Correct? Yes
Problem: If instead, the bakery made 2 cakes, each with 5243 calories, how many calories would there be in total now?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of calories in the two cakes with the new calorie count per cake. Given information: - The bakery makes 2 cakes. - Each cake has 5243 calories. Step 1: Find the number of calories in one cake. Number of calories in one cake = 5243 calories Step 2: Find the total number of calories in two cakes. Total number of calories = Number of calories in one cake × Number of cakes Total number of calories = 5243 calories × 2 cakes Total number of calories = 10486 calories Therefore, if the bakery made 2 cakes, each with 5243 calories, there would be a total of 10486 calories. ### Answer: 10486
Expected answer: 10486
Correct? Yes
Problem: A sleeping bag manufacturing company produces 9266 sleeping bags every day for 9 days. How many sleeping bags did they produce?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of sleeping bags produced in 9 days. Given information: - The company produces 9266 sleeping bags every day. - The company produces sleeping bags for 9 days. Step 1: Find the number of sleeping bags produced in one day. Number of sleeping bags produced in one day = 9266 Step 2: Find the total number of sleeping bags produced in 9 days. Total number of sleeping bags produced = Number of sleeping bags produced in one day × Number of days Total number of sleeping bags produced = 9266 × 9 Total number of sleeping bags produced = 83,394 Therefore, the sleeping bag manufacturing company produced 83,394 sleeping bags in 9 days. ### Answer: 83,394
Expected answer: 83394
Correct? Yes
Problem: What if the sleeping bag manufacturing company instead produced 8567 sleeping bags every day for the same 9 days? How many sleeping bags would they produce then?
Claude-3 Sonnet:
Okay, let's solve this problem with the new information. Given information: - The company produces 8567 sleeping bags every day. - The company produces sleeping bags for 9 days. Step 1: Find the number of sleeping bags produced in one day. Number of sleeping bags produced in one day = 8567 Step 2: Find the total number of sleeping bags produced in 9 days. Total number of sleeping bags produced = Number of sleeping bags produced in one day × Number of days Total number of sleeping bags produced = 8567 × 9 Total number of sleeping bags produced = 77,103 Therefore, if the sleeping bag manufacturing company produced 8567 sleeping bags every day for 9 days, they would produce a total of 77,103 sleeping bags. ### Answer: 77,103
Expected answer: 77103
Correct? Yes
Problem: A candy factory produces 3108 candies every hour for 5 hours. How many candies have they produced?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of candies produced in 5 hours. Given information: - The candy factory produces 3108 candies every hour. - The factory operates for 5 hours. Step 1: Find the number of candies produced in 1 hour. Number of candies produced in 1 hour = 3108 candies Step 2: Find the number of candies produced in 5 hours. Number of candies produced in 5 hours = Number of candies produced in 1 hour × Number of hours Number of candies produced in 5 hours = 3108 candies × 5 hours Number of candies produced in 5 hours = 15540 candies Therefore, the candy factory has produced 15540 candies in 5 hours. ### Answer: 15540
Expected answer: 15540
Correct? Yes
Problem: A candy factory decides to increase their output and now produces 7880 candies every hour for 5 hours. How many candies have they produced now?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of candies produced in 5 hours with the increased output. Given information: - The candy factory now produces 7880 candies every hour. - The factory operates for 5 hours. Step 1: Find the number of candies produced in 1 hour with the increased output. Number of candies produced in 1 hour = 7880 candies Step 2: Find the number of candies produced in 5 hours with the increased output. Number of candies produced in 5 hours = Number of candies produced in 1 hour × Number of hours Number of candies produced in 5 hours = 7880 candies × 5 hours Number of candies produced in 5 hours = 39400 candies Therefore, with the increased output, the candy factory has produced 39400 candies in 5 hours. ### Answer: 39400
Expected answer: 39400
Correct? Yes
Problem: A group of children builds 5 snowmen with each snowman containing 4016 snowballs. How many snowballs have they used in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of snowballs used to build all the snowmen. Given information: - The group of children built 5 snowmen. - Each snowman contains 4016 snowballs. Step 1: Find the number of snowballs used for one snowman. Number of snowballs per snowman = 4016 Step 2: Find the total number of snowballs used for all 5 snowmen. Total number of snowballs = Number of snowballs per snowman × Number of snowmen Total number of snowballs = 4016 × 5 Total number of snowballs = 20080 Therefore, the group of children used a total of 20080 snowballs to build 5 snowmen. ### Answer: 20080
Expected answer: 20080
Correct? Yes
Problem: What would be the total number of snowballs used if the group of children only built each snowman with 174 snowballs instead of 4016?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of snowballs used to build all the snowmen when each snowman contains 174 snowballs. Given information: - The group of children built 5 snowmen. - Each snowman contains 174 snowballs. Step 1: Find the number of snowballs used for one snowman. Number of snowballs per snowman = 174 Step 2: Find the total number of snowballs used for all 5 snowmen. Total number of snowballs = Number of snowballs per snowman × Number of snowmen Total number of snowballs = 174 × 5 Total number of snowballs = 870 Therefore, if the group of children built each snowman with 174 snowballs instead of 4016, they would have used a total of 870 snowballs to build 5 snowmen. ### Answer: 870
Expected answer: 870
Correct? Yes
Problem: A dairy farmer fills up 88 bottles of milk each day, with each bottle containing 46 liters of milk. How many liters of milk does he fill up in a day?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of liters of milk the farmer fills up in a day. Given information: - The farmer fills up 88 bottles of milk each day. - Each bottle contains 46 liters of milk. Step 1: Find the total number of liters of milk in all the bottles. Total liters of milk = Number of bottles × Liters of milk per bottle Total liters of milk = 88 × 46 liters Total liters of milk = 4,048 liters Therefore, the dairy farmer fills up 4,048 liters of milk in a day. ### Answer: 4,048
Expected answer: 4048
Correct? Yes
Problem: Suppose the dairy farmer decides to increase his production and now fills up 2110 bottles of milk each day, with each bottle containing 46 liters of milk. How many liters of milk does he fill up in a day now?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of liters of milk the farmer fills up in a day with the new production. Given information: - The farmer now fills up 2,110 bottles of milk each day. - Each bottle still contains 46 liters of milk. Step 1: Find the total number of liters of milk in all the bottles. Total liters of milk = Number of bottles × Liters of milk per bottle Total liters of milk = 2,110 × 46 liters Total liters of milk = 97,060 liters Therefore, with the increased production, the dairy farmer now fills up 97,060 liters of milk in a day. ### Answer: 97,060
Expected answer: 97060
Correct? Yes
Problem: A river flows at a rate of 9441 litres per second. What would be the total amount of water, in litres, that it would discharge into the sea in 9 seconds?
Claude-3 Sonnet:
To solve this problem, we need to find the amount of water discharged by the river in 9 seconds. Given information: - The river flows at a rate of 9441 litres per second. - We need to find the amount of water discharged in 9 seconds. Step 1: Find the amount of water discharged in 1 second. Amount of water discharged in 1 second = 9441 litres Step 2: Find the amount of water discharged in 9 seconds. Amount of water discharged in 9 seconds = Amount of water discharged in 1 second × 9 Amount of water discharged in 9 seconds = 9441 litres × 9 Amount of water discharged in 9 seconds = 84969 litres Therefore, the total amount of water discharged by the river into the sea in 9 seconds is 84969 litres. ### Answer: 84969
Expected answer: 84969
Correct? Yes
Problem: If the river, instead of flowing at a rate of 9441 litres per second, flowed at a rate of 4184 litres per second, what would be the total amount of water, in litres, that it would discharge into the sea in 9 seconds?
Claude-3 Sonnet:
To solve this problem, we need to find the amount of water discharged by the river in 9 seconds when the flow rate is 4184 litres per second. Given information: - The river flows at a rate of 4184 litres per second. - We need to find the amount of water discharged in 9 seconds. Step 1: Find the amount of water discharged in 1 second. Amount of water discharged in 1 second = 4184 litres Step 2: Find the amount of water discharged in 9 seconds. Amount of water discharged in 9 seconds = Amount of water discharged in 1 second × 9 Amount of water discharged in 9 seconds = 4184 litres × 9 Amount of water discharged in 9 seconds = 37656 litres Therefore, if the river flows at a rate of 4184 litres per second, the total amount of water discharged by the river into the sea in 9 seconds is 37656 litres. ### Answer: 37656
Expected answer: 37656
Correct? Yes
Problem: A balloon factory creates 4238 balloons every day for 8 days straight. How many balloons did they create?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of balloons created in 8 days. Given information: - The balloon factory creates 4238 balloons every day. - The factory operates for 8 days straight. Step 1: Find the number of balloons created in one day. Number of balloons created in one day = 4238 Step 2: Find the number of balloons created in 8 days. Number of balloons created in 8 days = Number of balloons created in one day × Number of days Number of balloons created in 8 days = 4238 × 8 Number of balloons created in 8 days = 33,904 Therefore, the balloon factory created 33,904 balloons in 8 days. ### Answer: 33,904
Expected answer: 33904
Correct? Yes
Problem: If the balloon factory only managed to produce 97 balloons every day instead of 4238, over the same span of 8 days, how many balloons would they have created?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of balloons created by the factory when it produces 97 balloons per day for 8 days. Given information: - The balloon factory produces 97 balloons every day. - The factory operates for 8 days. Step 1: Find the number of balloons created in one day. Number of balloons created in one day = 97 Step 2: Find the number of balloons created in 8 days. Number of balloons created in 8 days = Number of balloons created in one day × Number of days Number of balloons created in 8 days = 97 × 8 Number of balloons created in 8 days = 776 Therefore, if the balloon factory managed to produce 97 balloons every day instead of 4238, over the same span of 8 days, they would have created 776 balloons. ### Answer: 776
Expected answer: 776
Correct? Yes
Problem: An ice cream factory produces 59 batches of ice cream every day for 26 days. How many total batches of ice cream have they produced?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of batches produced by multiplying the number of batches produced per day by the number of days. Given information: - The ice cream factory produces 59 batches of ice cream every day. - The factory operates for 26 days. Step 1: Find the number of batches produced in one day. Number of batches produced per day = 59 batches Step 2: Find the total number of batches produced in 26 days. Total number of batches produced = Number of batches produced per day × Number of days Total number of batches produced = 59 batches × 26 days Total number of batches produced = 1,534 batches Therefore, the ice cream factory has produced a total of 1,534 batches of ice cream in 26 days. ### Answer: 1534
Expected answer: 1534
Correct? Yes
Problem: The factory decides to increase its efficiency and starts producing 656 batches of ice cream every day instead of 59, still over 26 days. How many total batches of ice cream have they now produced for that period?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of batches produced by multiplying the new number of batches produced per day by the number of days. Given information: - The ice cream factory now produces 656 batches of ice cream every day. - The factory still operates for 26 days. Step 1: Find the number of batches produced in one day. Number of batches produced per day = 656 batches Step 2: Find the total number of batches produced in 26 days. Total number of batches produced = Number of batches produced per day × Number of days Total number of batches produced = 656 batches × 26 days Total number of batches produced = 17,056 batches Therefore, with the increased efficiency, the ice cream factory has produced a total of 17,056 batches of ice cream in 26 days. ### Answer: 17056
Expected answer: 17056
Correct? Yes
Problem: A fish breeder has 86 tanks and each tank has 91 fish. How many fish does the breeder have in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of fish by multiplying the number of tanks by the number of fish in each tank. Given information: - The fish breeder has 86 tanks. - Each tank has 91 fish. Step 1: Multiply the number of tanks by the number of fish in each tank. Total number of fish = Number of tanks × Number of fish in each tank Total number of fish = 86 × 91 Step 2: Calculate the result. Total number of fish = 86 × 91 Total number of fish = 7,826 Therefore, the fish breeder has a total of 7,826 fish. ### Answer: 7,826
Expected answer: 7826
Correct? Yes
Problem: Instead of 91 fish in each tank, the breeder puts 581 fish in each of the 86 tanks. How many fish does the breeder have now?
Claude-3 Sonnet:
Okay, let's solve this problem with the updated information. Given information: - The fish breeder has 86 tanks. - Each tank has 581 fish. To find the total number of fish, we need to multiply the number of tanks by the number of fish in each tank. Step 1: Multiply the number of tanks by the number of fish in each tank. Total number of fish = Number of tanks × Number of fish in each tank Total number of fish = 86 × 581 Step 2: Calculate the result. Total number of fish = 86 × 581 Total number of fish = 49,966 Therefore, with 581 fish in each of the 86 tanks, the fish breeder now has a total of 49,966 fish. ### Answer: 49,966
Expected answer: 49966
Correct? Yes
Problem: A car factory produces 42 cars every hour for 21 hours. How many cars were produced in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of cars produced by multiplying the number of cars produced per hour by the number of hours the factory operates. Given information: - The car factory produces 42 cars every hour. - The factory operates for 21 hours. Step 1: Find the number of cars produced per hour. Number of cars produced per hour = 42 cars Step 2: Find the total number of cars produced by multiplying the number of cars produced per hour by the number of hours the factory operates. Total number of cars produced = Number of cars produced per hour × Number of hours Total number of cars produced = 42 cars × 21 hours Total number of cars produced = 882 cars Therefore, the car factory produced a total of 882 cars in 21 hours. ### Answer: 882
Expected answer: 882
Correct? Yes
Problem: After the initial 21 hours of production, the car factory boosts its production and starts producing 1204 cars every hour for 42 hours. How many cars were produced during this increased production period?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of cars produced during the increased production period by multiplying the number of cars produced per hour by the number of hours the factory operates at the increased production rate. Given information: - During the increased production period, the car factory produces 1204 cars every hour. - The increased production period lasts for 42 hours. Step 1: Find the number of cars produced per hour during the increased production period. Number of cars produced per hour = 1204 cars Step 2: Find the total number of cars produced during the increased production period by multiplying the number of cars produced per hour by the number of hours the factory operates at the increased production rate. Total number of cars produced during the increased production period = Number of cars produced per hour × Number of hours Total number of cars produced during the increased production period = 1204 cars × 42 hours Total number of cars produced during the increased production period = 50,568 cars Therefore, the car factory produced a total of 50,568 cars during the increased production period of 42 hours. ### Answer: 50,568
Expected answer: 50568
Correct? Yes
Problem: A library has 53 shelves and each shelf has 63 books. How many books are there in the library?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of books in the library by multiplying the number of shelves by the number of books on each shelf. Given information: - The library has 53 shelves. - Each shelf has 63 books. Step 1: Multiply the number of shelves by the number of books on each shelf. Number of books in the library = Number of shelves × Number of books on each shelf Number of books in the library = 53 × 63 Step 2: Calculate the result. Number of books in the library = 53 × 63 Number of books in the library = 3,339 Therefore, there are 3,339 books in the library. ### Answer: 3,339
Expected answer: 3339
Correct? Yes
Problem: The library decides to add more books to each shelf. Now, each of the 581 shelves has 63 books. How many books are there in the library now?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of books in the library by multiplying the new number of shelves by the number of books on each shelf. Given information: - The library now has 581 shelves. - Each shelf has 63 books. Step 1: Multiply the number of shelves by the number of books on each shelf. Number of books in the library = Number of shelves × Number of books on each shelf Number of books in the library = 581 × 63 Step 2: Calculate the result. Number of books in the library = 581 × 63 Number of books in the library = 36,603 Therefore, there are now 36,603 books in the library after adding more shelves. ### Answer: 36,603
Expected answer: 36603
Correct? Yes
Problem: A scientist measures a rainbow's intensity and finds out that the intensity increases by 6890 units for each color seen. If there are 8 colors appearing, what is the total increase in intensity of the rainbow?
Claude-3 Sonnet:
To solve this problem, we need to find the total increase in intensity by multiplying the increase in intensity per color by the number of colors. Given information: - The intensity increases by 6890 units for each color seen. - There are 8 colors appearing in the rainbow. Step 1: Find the increase in intensity for one color. Increase in intensity per color = 6890 units Step 2: Find the total increase in intensity by multiplying the increase in intensity per color by the number of colors. Total increase in intensity = Increase in intensity per color × Number of colors Total increase in intensity = 6890 units × 8 colors Total increase in intensity = 55,120 units Therefore, the total increase in intensity of the rainbow is 55,120 units. ### Answer: 55,120
Expected answer: 55120
Correct? Yes
Problem: The scientist makes a revision to his measurements and now believes that the intensity of the rainbow actually increases by 4301 units for each color seen. If there are the same 8 colors appearing, what is the total increase in intensity of the rainbow now?
Claude-3 Sonnet:
Okay, let's solve this problem with the revised information. Given information: - The intensity increases by 4301 units for each color seen. - There are 8 colors appearing in the rainbow. Step 1: Find the increase in intensity for one color. Increase in intensity per color = 4301 units Step 2: Find the total increase in intensity by multiplying the increase in intensity per color by the number of colors. Total increase in intensity = Increase in intensity per color × Number of colors Total increase in intensity = 4301 units × 8 colors Total increase in intensity = 34,408 units Therefore, with the revised measurement, the total increase in intensity of the rainbow is 34,408 units. ### Answer: 34,408
Expected answer: 34408
Correct? Yes
Problem: A friend is carefully scanning photos into their computer. They manage to scan 3173 photos every day for 9 days. How many photos have they scanned in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of photos scanned in 9 days. Given information: - The friend scans 3173 photos every day. - The friend scans photos for 9 days. Step 1: Find the number of photos scanned in one day. Number of photos scanned in one day = 3173 Step 2: Find the total number of photos scanned in 9 days. Total number of photos scanned = Number of photos scanned in one day × Number of days Total number of photos scanned = 3173 × 9 Total number of photos scanned = 28,557 Therefore, the friend has scanned a total of 28,557 photos in 9 days. ### Answer: 28,557
Expected answer: 28557
Correct? Yes
Problem: After scanning the initial batch, your friend continues their project and manages to scan 8149 photos every day for the next 9 days. How many additional photos have they managed to scan?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of photos scanned in the additional 9 days. Given information: - The friend scans 8149 photos every day for the next 9 days. Step 1: Find the number of photos scanned in one day. Number of photos scanned in one day = 8149 Step 2: Find the total number of photos scanned in 9 days. Total number of photos scanned = Number of photos scanned in one day × Number of days Total number of photos scanned = 8149 × 9 Total number of photos scanned = 73,341 Therefore, the friend has managed to scan an additional 73,341 photos in the next 9 days. ### Answer: 73,341
Expected answer: 73341
Correct? Yes
Problem: A gardener plants 33 flowers, each taking 60 minutes to plant. How many minutes will the gardener take to plant all the flowers?
Claude-3 Sonnet:
To solve this problem, we need to find the total time required to plant all the flowers. Given information: - The gardener plants 33 flowers. - Each flower takes 60 minutes to plant. Step 1: Find the time required to plant one flower. Time required to plant one flower = 60 minutes Step 2: Find the total time required to plant all the flowers. Total time required = Number of flowers × Time required to plant one flower Total time required = 33 × 60 minutes Total time required = 1,980 minutes Therefore, the gardener will take 1,980 minutes to plant all the flowers. ### Answer: 1980
Expected answer: 1980
Correct? Yes
Problem: The gardener decides to plant more flowers. This time, he plants 1523 flowers, each still taking 60 minutes to plant. How many minutes will it take the gardener to plant all these new flowers?
Claude-3 Sonnet:
To solve this problem, we need to find the total time required to plant all the new flowers. Given information: - The gardener plants 1523 flowers. - Each flower takes 60 minutes to plant. Step 1: Find the time required to plant one flower. Time required to plant one flower = 60 minutes Step 2: Find the total time required to plant all the flowers. Total time required = Number of flowers × Time required to plant one flower Total time required = 1523 × 60 minutes Total time required = 91,380 minutes Therefore, the gardener will take 91,380 minutes to plant all the new 1523 flowers. ### Answer: 91380
Expected answer: 91380
Correct? Yes
Problem: A dressmaker creates skirts, each skirt uses 94 inches of fabric. If the dressmaker creates 12 skirts, how many inches of fabric does she use?
Claude-3 Sonnet:
To solve this problem, we need to find the total amount of fabric used for creating 12 skirts. Given information: - Each skirt uses 94 inches of fabric. - The dressmaker creates 12 skirts. Step 1: Find the amount of fabric used for one skirt. Amount of fabric used for one skirt = 94 inches Step 2: Find the total amount of fabric used for 12 skirts. Total amount of fabric used = Amount of fabric used for one skirt × Number of skirts Total amount of fabric used = 94 inches × 12 Total amount of fabric used = 1,128 inches Therefore, the dressmaker uses 1,128 inches of fabric to create 12 skirts. ### Answer: 1,128
Expected answer: 1128
Correct? Yes
Problem: An alien fleet dispatches 18 UFOs to Earth, each carrying 22 extraterrestrials aboard. How many aliens have they sent to Earth?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of extraterrestrials aboard all the UFOs. Given information: - The alien fleet dispatches 18 UFOs to Earth. - Each UFO carries 22 extraterrestrials aboard. To find the total number of extraterrestrials, we need to multiply the number of UFOs by the number of extraterrestrials on each UFO. Total number of extraterrestrials = Number of UFOs × Number of extraterrestrials per UFO Total number of extraterrestrials = 18 × 22 Total number of extraterrestrials = 396 Therefore, the alien fleet has sent 396 extraterrestrials to Earth. ### Answer: 396
Expected answer: 396
Correct? Yes
Problem: Now imagine that instead of carrying 22 extraterrestrials, each UFO carries 1066 aliens. How many aliens would they then have sent to Earth?
Claude-3 Sonnet:
Okay, let's solve this problem with the new information. Given information: - The alien fleet dispatches 18 UFOs to Earth. - Each UFO carries 1066 extraterrestrials aboard. To find the total number of extraterrestrials, we need to multiply the number of UFOs by the number of extraterrestrials on each UFO. Total number of extraterrestrials = Number of UFOs × Number of extraterrestrials per UFO Total number of extraterrestrials = 18 × 1066 Total number of extraterrestrials = 19,188 Therefore, if each UFO carries 1066 extraterrestrials, the alien fleet would have sent 19,188 extraterrestrials to Earth. ### Answer: 19,188
Expected answer: 19188
Correct? Yes
Problem: A kite maker produces 3 types of kites, each type has 8497 pieces. How many pieces do they have in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of pieces for all three types of kites. Given information: - The kite maker produces 3 types of kites. - Each type of kite has 8497 pieces. Step 1: Find the number of pieces for one type of kite. Number of pieces for one type of kite = 8497 Step 2: Find the total number of pieces for all three types of kites. Total number of pieces = Number of pieces for one type of kite × Number of types of kites Total number of pieces = 8497 × 3 Total number of pieces = 25491 Therefore, the kite maker has a total of 25491 pieces for all three types of kites. ### Answer: 25491
Expected answer: 25491
Correct? Yes
Problem: In the previous problem, we discussed a kite maker who produces 3 types of kites, each type having 8497 pieces. Now, let's consider a different scenario where each type of kite has 4425 pieces instead. So, how many pieces would they have in total in this new scenario?
Claude-3 Sonnet:
In this new scenario, we need to find the total number of pieces for all three types of kites, where each type has 4425 pieces. Given information: - The kite maker produces 3 types of kites. - Each type of kite has 4425 pieces. Step 1: Find the number of pieces for one type of kite. Number of pieces for one type of kite = 4425 Step 2: Find the total number of pieces for all three types of kites. Total number of pieces = Number of pieces for one type of kite × Number of types of kites Total number of pieces = 4425 × 3 Total number of pieces = 13275 Therefore, in this new scenario where each type of kite has 4425 pieces, the kite maker has a total of 13275 pieces for all three types of kites. ### Answer: 13275
Expected answer: 13275
Correct? Yes
Problem: A teddy bear factory makes 23 teddy bears every hour. If the factory operates for 63 hours, how many teddy bears are made?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of teddy bears made by multiplying the number of teddy bears made per hour by the number of hours the factory operates. Given information: - The teddy bear factory makes 23 teddy bears every hour. - The factory operates for 63 hours. Step 1: Find the number of teddy bears made per hour. Number of teddy bears made per hour = 23 Step 2: Find the total number of teddy bears made by multiplying the number of teddy bears made per hour by the number of hours the factory operates. Total number of teddy bears made = Number of teddy bears made per hour × Number of hours the factory operates Total number of teddy bears made = 23 × 63 Total number of teddy bears made = 1,449 Therefore, the teddy bear factory makes 1,449 teddy bears when it operates for 63 hours. ### Answer: 1,449
Expected answer: 1449
Correct? Yes
Problem: A pirate has a treasure map that shows 90 pieces of gold hidden for each of the 31 days in a month. How many pieces of gold does the map indicate in total for that month?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of pieces of gold indicated on the treasure map for the entire month. Given information: - The treasure map shows 90 pieces of gold hidden for each day of the month. - There are 31 days in the month. Step 1: Find the number of pieces of gold hidden for one day. Number of pieces of gold hidden per day = 90 Step 2: Find the total number of pieces of gold hidden for the entire month. Total number of pieces of gold = Number of pieces of gold per day × Number of days in the month Total number of pieces of gold = 90 × 31 Total number of pieces of gold = 2,790 Therefore, the treasure map indicates a total of 2,790 pieces of gold hidden for that month. ### Answer: 2,790
Expected answer: 2790
Correct? Yes
Problem: A table making company has received an order to make 92 tables every day for 28 days. How many tables will they end up making?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of tables the company will make in 28 days. Given information: - The company has to make 92 tables every day. - The order is for 28 days. Step 1: Find the number of tables the company will make in one day. Number of tables per day = 92 tables Step 2: Find the total number of tables the company will make in 28 days. Total number of tables = Number of tables per day × Number of days Total number of tables = 92 tables × 28 days Total number of tables = 2,576 tables Therefore, the company will end up making 2,576 tables in 28 days. ### Answer: 2,576
Expected answer: 2576
Correct? Yes
Problem: After making 92 tables every day for 28 days, the table making company received another order. This time, they need to make 843 tables per day for the next 92 days. How many tables will they make in this period?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of tables the company will make in 92 days with the new order. Given information: - The company needs to make 843 tables per day. - The order is for 92 days. Step 1: Find the number of tables the company will make in one day. Number of tables per day = 843 tables Step 2: Find the total number of tables the company will make in 92 days. Total number of tables = Number of tables per day × Number of days Total number of tables = 843 tables × 92 days Total number of tables = 77,556 tables Therefore, the company will make 77,556 tables in the period of 92 days with the new order. ### Answer: 77,556
Expected answer: 77556
Correct? Yes
Problem: A fireplace burns 7905 logs every week for 4 weeks. How many logs did it burn?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of logs burned in 4 weeks. Given information: - The fireplace burns 7905 logs every week. - We need to find the total number of logs burned in 4 weeks. Step 1: Find the number of logs burned in 1 week. Number of logs burned in 1 week = 7905 logs Step 2: Find the number of logs burned in 4 weeks. Number of logs burned in 4 weeks = Number of logs burned in 1 week × 4 weeks Number of logs burned in 4 weeks = 7905 logs × 4 weeks Number of logs burned in 4 weeks = 31620 logs Therefore, the fireplace burned 31620 logs in 4 weeks. ### Answer: 31620
Expected answer: 31620
Correct? Yes
Problem: If instead of burning 7905 logs every week for 4 weeks, the fireplace had burned 8373 logs per week for the same duration, how many logs would it have burned?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of logs burned in 4 weeks when the fireplace burns 8373 logs per week. Given information: - The fireplace burns 8373 logs per week. - We need to find the total number of logs burned in 4 weeks. Step 1: Find the number of logs burned in 1 week. Number of logs burned in 1 week = 8373 logs Step 2: Find the number of logs burned in 4 weeks. Number of logs burned in 4 weeks = Number of logs burned in 1 week × 4 weeks Number of logs burned in 4 weeks = 8373 logs × 4 weeks Number of logs burned in 4 weeks = 33492 logs Therefore, if the fireplace had burned 8373 logs per week for 4 weeks, it would have burned 33492 logs. ### Answer: 33492
Expected answer: 33492
Correct? Yes
Problem: A toothpaste factory produces 7837 tubes of toothpaste every hour. If the factory operates for 9 hours, how many tubes of toothpaste do they produce?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of tubes of toothpaste produced by multiplying the number of tubes produced per hour by the number of hours the factory operates. Given information: - The toothpaste factory produces 7837 tubes of toothpaste every hour. - The factory operates for 9 hours. Step 1: Find the number of tubes of toothpaste produced in 9 hours. Number of tubes produced per hour × Number of hours = Total number of tubes produced 7837 tubes × 9 hours = 70,533 tubes Therefore, the toothpaste factory produces 70,533 tubes of toothpaste in 9 hours. ### Answer: 70,533
Expected answer: 70533
Correct? Yes
Problem: If the toothpaste factory instead produced 291 tubes of toothpaste every hour, how many would they produce if they still operated for 9 hours?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of tubes of toothpaste produced by multiplying the new number of tubes produced per hour by the number of hours the factory operates. Given information: - The toothpaste factory produces 291 tubes of toothpaste every hour. - The factory operates for 9 hours. Step 1: Find the number of tubes of toothpaste produced in 9 hours. Number of tubes produced per hour × Number of hours = Total number of tubes produced 291 tubes × 9 hours = 2,619 tubes Therefore, if the toothpaste factory produces 291 tubes of toothpaste every hour and operates for 9 hours, they will produce 2,619 tubes of toothpaste. ### Answer: 2,619
Expected answer: 2619
Correct? Yes
Problem: A farmer harvests 3799 cucumbers from each of his 3 fields. How many cucumbers does he harvest in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of cucumbers harvested from all three fields. Given information: - The farmer has 3 fields. - The farmer harvests 3799 cucumbers from each field. Step 1: Find the number of cucumbers harvested from one field. Number of cucumbers harvested from one field = 3799 Step 2: Find the total number of cucumbers harvested from all three fields. Total number of cucumbers harvested = Number of cucumbers harvested from one field × Number of fields Total number of cucumbers harvested = 3799 × 3 Total number of cucumbers harvested = 11397 Therefore, the farmer harvests a total of 11397 cucumbers from all three fields. ### Answer: 11397
Expected answer: 11397
Correct? Yes
Problem: The farmer realized he made a mistake and only harvested 550 cucumbers from each of his 3 fields. How many cucumbers did he actually harvest in total?
Claude-3 Sonnet:
Okay, let's recalculate the total number of cucumbers harvested based on the new information. Given information: - The farmer has 3 fields. - The farmer harvested 550 cucumbers from each field. Step 1: Find the number of cucumbers harvested from one field. Number of cucumbers harvested from one field = 550 Step 2: Find the total number of cucumbers harvested from all three fields. Total number of cucumbers harvested = Number of cucumbers harvested from one field × Number of fields Total number of cucumbers harvested = 550 × 3 Total number of cucumbers harvested = 1650 Therefore, the farmer actually harvested a total of 1650 cucumbers from all three fields. ### Answer: 1650
Expected answer: 1650
Correct? Yes
Problem: In a zoo, each of the 84 enclosures has 48 animals. How many animals are there in total in all the enclosures?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of animals in all the enclosures. Given information: - There are 84 enclosures in the zoo. - Each enclosure has 48 animals. Step 1: Find the number of animals in one enclosure. Number of animals in one enclosure = 48 Step 2: Find the total number of animals in all the enclosures. Total number of animals = Number of enclosures × Number of animals in one enclosure Total number of animals = 84 × 48 Total number of animals = 4,032 Therefore, there are 4,032 animals in total in all the enclosures in the zoo. ### Answer: 4,032
Expected answer: 4032
Correct? Yes
Problem: In the same zoo, consider a scenario where each of the 84 enclosures instead housed 511 animals. In light of this change, how many animals would there be in total across all enclosures?
Claude-3 Sonnet:
Okay, let's solve this problem with the new information. Given information: - There are 84 enclosures in the zoo. - Each enclosure now houses 511 animals. To find the total number of animals across all enclosures, we need to multiply the number of enclosures by the number of animals in each enclosure. Step 1: Find the number of animals in one enclosure. Number of animals in one enclosure = 511 Step 2: Find the total number of animals in all the enclosures. Total number of animals = Number of enclosures × Number of animals in one enclosure Total number of animals = 84 × 511 Total number of animals = 42,924 Therefore, with each of the 84 enclosures housing 511 animals, there would be a total of 42,924 animals across all enclosures in the zoo. ### Answer: 42,924
Expected answer: 42924
Correct? Yes
Problem: A farmer harvested 43 bundles of carrots, each bundle contains 40 carrots. How many carrots did the farmer harvest in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of carrots by multiplying the number of bundles by the number of carrots in each bundle. Given information: - The farmer harvested 43 bundles of carrots. - Each bundle contains 40 carrots. Step 1: Multiply the number of bundles by the number of carrots in each bundle. Total number of carrots = Number of bundles × Number of carrots per bundle Total number of carrots = 43 × 40 Step 2: Calculate the total number of carrots. Total number of carrots = 43 × 40 Total number of carrots = 1,720 Therefore, the farmer harvested a total of 1,720 carrots. ### Answer: 1720
Expected answer: 1720
Correct? Yes
Problem: A dragon breathes fire and burns 4618 trees in a forest each day for 3 days. How many trees in total did the dragon burn in these three days?
Claude-3 Sonnet:
To solve this problem, we need to find the number of trees the dragon burned each day and then multiply it by the number of days. Given information: - The dragon burns 4618 trees in a forest each day. - The dragon breathes fire for 3 days. Step 1: Find the number of trees the dragon burned each day. Number of trees burned each day = 4618 trees Step 2: Find the total number of trees the dragon burned in 3 days. Total number of trees burned = Number of trees burned each day × Number of days Total number of trees burned = 4618 trees × 3 days Total number of trees burned = 13854 trees Therefore, the dragon burned a total of 13854 trees in the forest over the course of 3 days. ### Answer: 13854
Expected answer: 13854
Correct? Yes
Problem: Considering that the dragon instead burned 2302 trees each day for the same 3 days, how many trees in total did the dragon burn in these three days?
Claude-3 Sonnet:
To solve this problem, we need to find the number of trees the dragon burned each day and then multiply it by the number of days. Given information: - The dragon burns 2302 trees in a forest each day. - The dragon breathes fire for 3 days. Step 1: Find the number of trees the dragon burned each day. Number of trees burned each day = 2302 trees Step 2: Find the total number of trees the dragon burned in 3 days. Total number of trees burned = Number of trees burned each day × Number of days Total number of trees burned = 2302 trees × 3 days Total number of trees burned = 6906 trees Therefore, the dragon burned a total of 6906 trees in the forest over the course of 3 days. ### Answer: 6906
Expected answer: 6906
Correct? Yes
Problem: There is a mountain that is 3618 meters tall. How many meters tall is a mountain that is exactly 1 times the height of the first mountain?
Claude-3 Sonnet:
To solve this problem, we need to find the height of the second mountain, which is exactly 1 times the height of the first mountain. Given information: - The height of the first mountain is 3618 meters. Step 1: Find the height of the second mountain by multiplying the height of the first mountain by 1. Height of the second mountain = Height of the first mountain × 1 Height of the second mountain = 3618 meters × 1 Height of the second mountain = 3618 meters Therefore, the height of the second mountain, which is exactly 1 times the height of the first mountain, is 3618 meters. ### Answer: 3618
Expected answer: 3618
Correct? Yes
Problem: There is a second mountain that is 3488 meters tall. How many meters tall is a mountain that is exactly 1 times the height of this second mountain?
Claude-3 Sonnet:
To solve this problem, we need to find the height of a mountain that is exactly 1 times the height of the second mountain, which is 3488 meters tall. Given information: - The height of the second mountain is 3488 meters. Step 1: Find the height of the new mountain by multiplying the height of the second mountain by 1. Height of the new mountain = Height of the second mountain × 1 Height of the new mountain = 3488 meters × 1 Height of the new mountain = 3488 meters Therefore, the height of the mountain that is exactly 1 times the height of the second mountain (3488 meters) is 3488 meters. ### Answer: 3488
Expected answer: 3488
Correct? Yes
Problem: A cloud formation occupies an area of 18 miles by 18 miles. What is the total number of square miles occupied by the cloud formation?
Claude-3 Sonnet:
To find the total number of square miles occupied by the cloud formation, we need to calculate the area of a square with side lengths of 18 miles. The formula for the area of a square is: Area = side length × side length Given information: - The cloud formation occupies an area of 18 miles by 18 miles. Step 1: Substitute the side length into the formula. Area = 18 miles × 18 miles Area = 324 square miles Therefore, the total number of square miles occupied by the cloud formation is 324 square miles. ### Answer: 324
Expected answer: 324
Correct? Yes
Problem: Instead of having an area of 18 miles by 18 miles, what if the cloud formation now occupies an area of 18 miles by 2898 miles. What is the total number of square miles occupied by the cloud formation now?
Claude-3 Sonnet:
To find the total number of square miles occupied by the cloud formation, we need to calculate the area of a rectangle with a length of 18 miles and a width of 2898 miles. The formula for the area of a rectangle is: Area = length × width Given information: - The length of the cloud formation is 18 miles. - The width of the cloud formation is 2898 miles. Step 1: Substitute the length and width into the formula. Area = 18 miles × 2898 miles Area = 52,164 square miles Therefore, the total number of square miles occupied by the cloud formation with an area of 18 miles by 2898 miles is 52,164 square miles. ### Answer: 52,164
Expected answer: 52164
Correct? Yes
Problem: A grape farm produces 60 clusters of grapes every day, with each cluster containing 64 grapes. How many grapes does the farm produce in a day?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of grapes produced by multiplying the number of clusters with the number of grapes in each cluster. Given information: - The grape farm produces 60 clusters of grapes every day. - Each cluster contains 64 grapes. Step 1: Find the number of grapes in one cluster. Number of grapes in one cluster = 64 grapes Step 2: Find the total number of grapes produced in a day. Total number of grapes produced in a day = Number of clusters × Number of grapes in one cluster Total number of grapes produced in a day = 60 × 64 Total number of grapes produced in a day = 3,840 grapes Therefore, the grape farm produces 3,840 grapes in a day. ### Answer: 3840
Expected answer: 3840
Correct? Yes
Problem: A helicopter builder needs 3224 parts for each helicopter. If they plan to build 4 helicopters, how many parts will they need in total?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of parts required for 4 helicopters. Given information: - The helicopter builder needs 3224 parts for each helicopter. - They plan to build 4 helicopters. Step 1: Find the number of parts required for 1 helicopter. Number of parts required for 1 helicopter = 3224 parts Step 2: Find the total number of parts required for 4 helicopters. Total number of parts required = Number of parts required for 1 helicopter × Number of helicopters Total number of parts required = 3224 parts × 4 helicopters Total number of parts required = 12896 parts Therefore, the helicopter builder will need a total of 12896 parts to build 4 helicopters. ### Answer: 12896
Expected answer: 12896
Correct? Yes
Problem: Suppose the helicopter builder now needs 7661 parts for each helicopter, instead of 3224 as originally planned. If they still plan to build 4 helicopters, how many parts will they need in total now?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of parts required for 4 helicopters with the new requirement of 7661 parts for each helicopter. Given information: - The helicopter builder now needs 7661 parts for each helicopter. - They still plan to build 4 helicopters. Step 1: Find the number of parts required for 1 helicopter. Number of parts required for 1 helicopter = 7661 parts Step 2: Find the total number of parts required for 4 helicopters. Total number of parts required = Number of parts required for 1 helicopter × Number of helicopters Total number of parts required = 7661 parts × 4 helicopters Total number of parts required = 30644 parts Therefore, with the new requirement of 7661 parts for each helicopter, the helicopter builder will need a total of 30644 parts to build 4 helicopters. ### Answer: 30644
Expected answer: 30644
Correct? Yes
Problem: A jacket factory produces 3425 jackets each day for two days. How many jackets have they produced?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of jackets produced in two days. Given information: - The jacket factory produces 3425 jackets each day. - The factory operates for two days. Step 1: Find the number of jackets produced in one day. Number of jackets produced in one day = 3425 jackets Step 2: Find the number of jackets produced in two days. Number of jackets produced in two days = Number of jackets produced in one day × Number of days Number of jackets produced in two days = 3425 jackets × 2 days Number of jackets produced in two days = 6850 jackets Therefore, the jacket factory has produced 6850 jackets in two days. ### Answer: 6850
Expected answer: 6850
Correct? Yes
Problem: Now suppose the jacket factory instead produces 2079 jackets each day for two days. How many jackets have they produced now?
Claude-3 Sonnet:
Okay, let's solve this problem with the new information. Given information: - The jacket factory produces 2079 jackets each day. - The factory operates for two days. Step 1: Find the number of jackets produced in one day. Number of jackets produced in one day = 2079 jackets Step 2: Find the number of jackets produced in two days. Number of jackets produced in two days = Number of jackets produced in one day × Number of days Number of jackets produced in two days = 2079 jackets × 2 days Number of jackets produced in two days = 4158 jackets Therefore, with the new production rate of 2079 jackets per day, the jacket factory has produced 4158 jackets in two days. ### Answer: 4158
Expected answer: 4158
Correct? Yes
Problem: A towel factory produces 1380 towels every day for 9 days. How many towels have they produced?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of towels produced in 9 days. Given information: - The towel factory produces 1380 towels every day. - The factory operates for 9 days. Step 1: Find the number of towels produced in one day. Number of towels produced in one day = 1380 towels Step 2: Find the number of towels produced in 9 days. Number of towels produced in 9 days = Number of towels produced in one day × Number of days Number of towels produced in 9 days = 1380 towels × 9 days Number of towels produced in 9 days = 12420 towels Therefore, the towel factory has produced 12420 towels in 9 days. ### Answer: 12420
Expected answer: 12420
Correct? Yes
Problem: Suppose the towel factory increased its production and now makes 7978 towels every day for the same 9 days. How many towels have they produced now?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of towels produced in 9 days with the increased production rate. Given information: - The towel factory now produces 7978 towels every day. - The factory operates for 9 days. Step 1: Find the number of towels produced in one day with the increased production rate. Number of towels produced in one day = 7978 towels Step 2: Find the number of towels produced in 9 days with the increased production rate. Number of towels produced in 9 days = Number of towels produced in one day × Number of days Number of towels produced in 9 days = 7978 towels × 9 days Number of towels produced in 9 days = 71802 towels Therefore, with the increased production rate, the towel factory has produced 71802 towels in 9 days. ### Answer: 71802
Expected answer: 71802
Correct? Yes
Problem: A manufacturer makes 1 pair of binoculars per day which they sell for 7743 dollars each. How much does the manufacturer make in a day from binoculars?
Claude-3 Sonnet:
To solve this problem, we need to find the revenue generated by the manufacturer from selling binoculars in a day. Given information: - The manufacturer makes 1 pair of binoculars per day. - Each pair of binoculars is sold for $7,743. Step 1: Find the number of pairs of binoculars sold in a day. Number of pairs of binoculars sold in a day = 1 pair Step 2: Find the revenue generated by selling 1 pair of binoculars. Revenue from selling 1 pair of binoculars = $7,743 Step 3: Find the total revenue generated in a day. Total revenue in a day = Number of pairs of binoculars sold in a day × Revenue from selling 1 pair of binoculars Total revenue in a day = 1 × $7,743 Total revenue in a day = $7,743 Therefore, the manufacturer makes $7,743 in a day from binoculars. ### Answer: 7743
Expected answer: 7743
Correct? Yes
Problem: What if the manufacturer decides to reduce the price and sell the binoculars for 7302 dollars each instead? How much would they make per day then?
Claude-3 Sonnet:
Okay, let's recalculate the revenue per day for the manufacturer if they decide to sell each pair of binoculars for $7,302 instead of $7,743. Given information: - The manufacturer makes 1 pair of binoculars per day. - Each pair of binoculars is now sold for $7,302. Step 1: Find the number of pairs of binoculars sold in a day. Number of pairs of binoculars sold in a day = 1 pair Step 2: Find the revenue generated by selling 1 pair of binoculars at the new price. Revenue from selling 1 pair of binoculars = $7,302 Step 3: Find the total revenue generated in a day at the new price. Total revenue in a day = Number of pairs of binoculars sold in a day × Revenue from selling 1 pair of binoculars Total revenue in a day = 1 × $7,302 Total revenue in a day = $7,302 Therefore, if the manufacturer reduces the price and sells each pair of binoculars for $7,302, they would make $7,302 in a day. ### Answer: 7302
Expected answer: 7302
Correct? Yes