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 Haiku:
Okay, let's break this down step-by-step: * The police department issues 65 tickets each day * They do this for 34 days To find the total number of tickets issued, we need to multiply the number of tickets per day by the number of days: * 65 tickets per day x 34 days = 2,210 tickets Therefore, the total number of tickets issued by the police department is: ### 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 Haiku:
Reasoning: The windmill generates 8086 kilowatts of electricity every day. To find the total electricity generated in 7 days, we need to multiply the daily electricity generation by the number of days. 8086 kilowatts per day x 7 days = <<8086 x 7 = 56602>>56,602 kilowatts. ### Answer: 56,602
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 Haiku:
Reasoning: The windmill generates 5447 kilowatts of electricity every day. To find the total electricity generated in 7 days, we need to multiply the daily electricity generation by the number of days. 5447 kilowatts per day x 7 days = <<5447 x 7 = 38129>>38,129 kilowatts. ### Answer: 38,129
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 Haiku:
Reasoning: The company produces 55 tubes of toothpaste every hour. The company works for 35 hours. To find the total number of tubes of toothpaste produced, we need to multiply the number of tubes produced per hour by the number of hours worked. 55 tubes per hour x 35 hours = <<55 x 35 = 1,925>>1,925 tubes of toothpaste. ### 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 Haiku:
Reasoning: The company produces 55 tubes of toothpaste every hour. The company now works for 316 hours. To find the total number of tubes of toothpaste produced, we need to multiply the number of tubes produced per hour by the number of hours worked. 55 tubes per hour x 316 hours = <<55 x 316 = 17,380>>17,380 tubes of toothpaste. ### 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 Haiku:
Reasoning: The company produces 96 unique keys per day. The company produces keys for 83 days. To find the total number of keys produced, we multiply the number of keys produced per day by the number of days: 96 keys per day x 83 days = <<96 x 83 = 7,968>>7,968 keys in total. ### 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 Haiku:
Reasoning: The company produces 993 unique keys per day. The company produces keys for 96 days. To find the total number of keys produced, we multiply the number of keys produced per day by the number of days: 993 keys per day x 96 days = <<993 x 96 = 95,328>>95,328 keys in total. ### 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 Haiku:
Reasoning: The company produces 9212 balls per day for 9 consecutive days. To find the total number of balls produced, we need to multiply the number of balls produced per day by the number of days. 9212 balls per day x 9 days = <<9212 x 9 = 82,908>> 82,908 balls produced overall. ### 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 Haiku:
Reasoning: The company produces 3032 balls per day for 9 consecutive days. To find the total number of balls produced, we need to multiply the number of balls produced per day by the number of days. 3032 balls per day x 9 days = <<3032 x 9 = 27,288>> 27,288 balls produced overall. ### 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 Haiku:
Reasoning: The school bus can carry 6353 students. Since there is only 1 bus available, the number of students it can carry is 6353. ### 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 Haiku:
Reasoning: The school bus can carry 229 students. Since there is only 1 bus available, the number of students it can carry is 229. ### 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 Haiku:
Reasoning: The pirate ship has 76 cannons. Each cannon fires 45 cannonballs. To find the total number of cannonballs fired, we need to multiply the number of cannons by the number of cannonballs fired by each cannon. 76 cannons x 45 cannonballs per cannon = 3,420 cannonballs. ### 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 Haiku:
Okay, let's solve this step-by-step: * The pirate ship has 76 cannons * Each cannon fires 708 cannonballs * To find the total number of cannonballs fired, we need to multiply the number of cannons by the number of cannonballs per cannon: * 76 cannons x 708 cannonballs per cannon = 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 Haiku:
Reasoning: * A single bus can carry 5244 passengers. * We need to find the total number of passengers that 5 buses can carry. * To do this, we multiply the number of passengers a single bus can carry by the number of buses. * 5244 passengers per bus x 5 buses = 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 Haiku:
Okay, let's solve this step-by-step: * Each bus can carry 8347 passengers * We need to find the total number of passengers that 5 buses can carry * To do this, we multiply the number of passengers a single bus can carry by the number of buses * 8347 passengers per bus x 5 buses = 41735 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 Haiku:
Okay, let's break this down step-by-step: * Your friend has been saving money for 2 years * Every year, they manage to save $2008 * To find the total amount of money they have saved, we need to multiply the amount they save each year by the number of years they have been saving So, the calculation is: * Amount saved per year: $2008 * Number of years: 2 * Total amount saved = $2008 x 2 = $4016 ### 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 Haiku:
Okay, let's work this out step-by-step: * Your friend was able to save $125 every year * They saved for 2 years To calculate the total amount saved, we multiply the amount saved per year by the number of years: * Amount saved per year: $125 * Number of years: 2 * Total amount saved = $125 x 2 = $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 Haiku:
Reasoning: The chocolate factory produces 4916 chocolate bars every hour. They produce this for 4 hours. To find the total number of chocolate bars produced, we need to multiply the number of chocolate bars produced per hour by the number of hours. 4916 chocolate bars per hour x 4 hours = <<4916 x 4 = 19,664>> 19,664 chocolate bars. ### Answer: 19,664
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 Haiku:
Okay, let's solve this step-by-step: * The chocolate factory produces 7489 chocolate bars every hour * They produce this for 4 hours * To find the total number of chocolate bars produced, we need to multiply the number of chocolate bars produced per hour by the number of hours * 7489 chocolate bars per hour x 4 hours = <<7489 x 4 = 29,956>> 29,956 chocolate bars ### Answer: 29,956
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 Haiku:
Reasoning: * The pirate found 91 chests * Each chest holds 55 gold coins * To find the total number of gold coins, we need to multiply the number of chests by the number of gold coins in each chest: * 91 chests x 55 gold coins per chest = <<91 x 55 = 5,005>>5,005 gold coins ### 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 Haiku:
Reasoning: * The pirate found 1489 chests * Each chest holds 55 gold coins * To find the total number of gold coins, we need to multiply the number of chests by the number of gold coins in each chest: * 1489 chests x 55 gold coins per chest = <<1489 x 55 = 81,895>>81,895 gold coins ### 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 Haiku:
Reasoning: The farmer grows 50 bunches of grapes, and each bunch has 12 grapes. To find the total number of grapes, we need to multiply the number of bunches by the number of grapes in each bunch. 50 bunches x 12 grapes per bunch = <<50 x 12 = 600>>600 grapes in total. ### 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 Haiku:
Reasoning: The farmer has 6804 bunches of grapes, and each bunch has 12 grapes. To find the total number of grapes, we need to multiply the number of bunches by the number of grapes in each bunch. 6804 bunches x 12 grapes per bunch = <<6804 x 12 = 81,648>>81,648 grapes in total. ### Answer: 81,648
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 Haiku:
Reasoning: The helicopter can carry 64 pounds every minute. The helicopter works continuously for 75 minutes. To find the total pounds the helicopter can carry, we need to multiply the amount it can carry per minute by the number of minutes it works. 64 pounds per minute x 75 minutes = <<64 x 75 = 4,800>>4,800 pounds. ### Answer: 4,800 pounds.
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 Haiku:
Okay, let's solve this step-by-step: * The helicopter can carry 1063 pounds every minute * It works continuously for 75 minutes * To find the total pounds the helicopter can carry, we need to multiply the amount it can carry per minute by the number of minutes it works * 1063 pounds per minute x 75 minutes = <<1063 x 75 = 79,725>>79,725 pounds ### Answer: 79,725 pounds.
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 Haiku:
Okay, let's break this down step-by-step: * The piano manufacturer produces 4750 pianos every week * They produce these pianos for 7 weeks To calculate the total number of pianos produced, we need to multiply the number of pianos produced per week by the number of weeks: * 4750 pianos per week x 7 weeks = 33,250 pianos ### Answer: 33,250
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 Haiku:
Okay, let's solve this step-by-step: * The piano manufacturer produces 1339 pianos every week * They produce these pianos for 7 weeks To calculate the total number of pianos produced, we need to multiply the number of pianos produced per week by the number of weeks: * 1339 pianos per week x 7 weeks = 9,373 pianos ### Answer: 9,373
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 Haiku:
Reasoning: The snow machine produces 8873 snowballs every hour. The snow machine operates for 8 hours. To find the total number of snowballs produced, we need to multiply the number of snowballs produced per hour by the number of hours the machine operated. 8873 snowballs per hour x 8 hours = 70,984 snowballs. ### Answer: 70,984
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 Haiku:
Reasoning: After maintenance, the snow machine could only produce 93 snowballs per hour. The snow machine operated for 8 hours after maintenance. To find the total number of snowballs produced after maintenance, we need to multiply the number of snowballs produced per hour by the number of hours the machine operated. 93 snowballs per hour x 8 hours = 744 snowballs. ### 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 Haiku:
Reasoning: * The rope is produced in 84 equal strands * Each strand measures 75 meters long * To find the total meters of rope produced, we need to multiply the number of strands by the length of each strand Total meters of rope produced = Number of strands × Length of each strand Total meters of rope produced = 84 × 75 meters Total meters of rope produced = <<84 × 75 = 6,300>> 6,300 meters ### Answer: 6,300 meters
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 Haiku:
Okay, let's solve this step-by-step: * Originally, there were 84 strands of rope, each 75 meters long * So the total length of all strands was 84 x 75 = 6,300 meters * Now, the machinery has been recalibrated and each strand is 742 meters long * To find the new total length of all strands, we multiply the number of strands (84) by the new length of each strand (742) Total length of all strands = 84 x 742 meters Total length of all strands = <<84 x 742 = 62,328>> 62,328 meters ### Answer: 62,328 meters
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 Haiku:
Okay, let's break this down step-by-step: * The doctor treats 5837 patients each day * The doctor treats patients for 8 days To find the total number of patients the doctor has treated, we need to multiply the number of patients per day by the number of days: * 5837 patients per day x 8 days = 46,696 patients ### Answer: 46,696
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 Haiku:
Okay, let's solve this step-by-step: * The doctor treats 7467 patients each day * The doctor treats patients for 8 days To find the total number of patients the doctor has treated, we need to multiply the number of patients per day by the number of days: * 7467 patients per day x 8 days = 59,736 patients ### Answer: 59,736
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 Haiku:
Okay, let's break this down step-by-step: * The tree farmer plants 4749 trees each day * He does this over 6 days To find the total number of trees planted, we need to multiply the number of trees planted per day by the number of days: * 4749 trees per day x 6 days = 28,494 trees ### Answer: 28,494
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 Haiku:
Okay, let's solve this step-by-step: * The tree farmer plants 4511 trees each day * He does this over 6 days To find the total number of trees planted, we need to multiply the number of trees planted per day by the number of days: * 4511 trees per day x 6 days = 27,066 trees ### Answer: 27,066
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 Haiku:
Reasoning: * The florist has 80 vases * Each vase is filled with 64 flowers * To find the total number of flowers, we need to multiply the number of vases by the number of flowers in each vase: * 80 vases x 64 flowers per vase = 5,120 flowers ### 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 Haiku:
Okay, let's solve this step-by-step: * The florist has 80 vases * Each vase is filled with 891 flowers * To find the total number of flowers, we need to multiply the number of vases by the number of flowers in each vase: * 80 vases x 891 flowers per vase = 71,280 flowers ### 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 Haiku:
Reasoning: The quilt maker used 4932 pieces of cloth to make one blanket. ### 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 Haiku:
Reasoning: In the previous problem, the quilt maker used 4932 pieces of cloth to make one blanket. In this new problem, the quilt maker needs to create a larger blanket, requiring a total of 7404 pieces of cloth. Therefore, the quilt maker would use 7404 pieces of cloth for the larger blanket. ### 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 Haiku:
Reasoning: The pillow maker produces 40 pillows every hour. The pillow maker works for 17 hours. To find the total number of pillows made, we multiply the number of pillows produced per hour by the number of hours worked: 40 pillows per hour x 17 hours = <<40 x 17 = 680>>680 pillows. ### 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 Haiku:
Okay, let's break this down step-by-step: * The pillow maker originally produced 40 pillows per hour * They worked for 17 hours * So the total number of pillows made was 40 pillows/hour x 17 hours = 680 pillows Now, in the new scenario: * The pillow maker increased their production rate to 460 pillows per hour * They still worked for the same 17 hours * To find the new total number of pillows made, we multiply the new production rate by the number of hours worked: * 460 pillows/hour x 17 hours = <<460 x 17 = 7,820>>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 Haiku:
Okay, let's break this down step-by-step: * The monkey picks 9434 bananas each day * The monkey does this for 7 days To find the total number of bananas picked, we need to multiply the number of bananas picked per day by the number of days: * 9434 bananas per day x 7 days = 66,038 bananas Therefore, the total number of bananas the monkey has picked in 7 days is 66,038. ### Answer: 66,038
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 Haiku:
Okay, let's solve this step-by-step: * The monkey picks 2926 bananas each day * The monkey does this for 7 days (a week) To find the total number of bananas picked, we need to multiply the number of bananas picked per day by the number of days: * 2926 bananas per day x 7 days = 20,482 bananas Therefore, the total number of bananas the monkey would have picked in a week (7 days) is 20,482. ### Answer: 20,482
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 Haiku:
Reasoning: The ballerina performs 64 pirouettes each day. She performs this for 21 days. To find the total number of pirouettes performed, we multiply the number of pirouettes per day by the number of days: 64 pirouettes per day x 21 days = <<64 x 21 = 1,344>>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 Haiku:
Reasoning: The ballerina now performs 3075 pirouettes each day. She performs this for 21 days. To find the total number of pirouettes performed, we multiply the number of pirouettes per day by the number of days: 3075 pirouettes per day x 21 days = <<3075 x 21 = 64,575>>64,575 pirouettes overall. ### 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 Haiku:
Okay, let's break this down step-by-step: * The school bus transports 28 students to school every day * This happens for 12 days To find the total number of students transported, we need to multiply the number of students per day by the number of days: * 28 students per day x 12 days = 336 students total ### 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 Haiku:
Okay, let's solve this step-by-step: * The school bus can now transport 8194 students to school every day * This happens for 12 days To find the total number of students transported, we need to multiply the number of students per day by the number of days: * 8194 students per day x 12 days = 98,328 students total ### 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 Haiku:
Okay, let's break this down step-by-step: * The facility produces 78 balls per day * They produce balls for 22 days To find the total number of balls produced, we need to multiply the number of balls per day by the number of days: * 78 balls per day x 22 days = 1,716 balls ### Answer: 1,716
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 Haiku:
Okay, let's solve this step-by-step: * The facility now produces 3263 balls per day * They produce balls for 22 days To find the total number of balls produced, we need to multiply the number of balls per day by the number of days: * 3263 balls per day x 22 days = 71,786 balls ### Answer: 71,786
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 Haiku:
Reasoning: The manufacturer produces 64 glasses per batch. They produced 22 batches in one day. To find the total number of glasses produced in a day, we need to multiply the number of glasses per batch by the number of batches produced. Total glasses produced in a day = 64 glasses per batch × 22 batches ### 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 Haiku:
Reasoning: The manufacturer can now produce 821 glasses per batch. They are still producing 22 batches per day. To find the total number of glasses produced in a day, we need to multiply the number of glasses per batch by the number of batches produced. Total glasses produced in a day = 821 glasses per batch × 22 batches ### 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 Haiku:
Reasoning: The bus travels the route 5 times. The length of the route is 2836 km. To find the total distance covered, we need to multiply the length of the route by the number of times the bus travels it. Total distance covered = 2836 km × 5 = <<2836 km × 5 = 14,180 km>>14,180 km. ### Answer: 14,180 km
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 Haiku:
Reasoning: The new length of the route is 8724 km. The bus still travels the route 5 times. To find the total distance covered, we need to multiply the new length of the route by the number of times the bus travels it. Total distance covered = 8724 km × 5 = <<8724 km × 5 = 43,620 km>>43,620 km. ### Answer: 43,620 km
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 Haiku:
Reasoning: The pizza restaurant sells 1959 pizzas each day for a period of 4 consecutive days. To find the total number of pizzas sold, we need to multiply the number of pizzas sold per day by the number of days. 1959 pizzas per day x 4 days = 7,836 pizzas sold altogether. ### Answer: 7,836
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 Haiku:
Reasoning: The pizza restaurant sold 772 pizzas each day for a period of 4 consecutive days. To find the total number of pizzas sold, we need to multiply the number of pizzas sold per day by the number of days. 772 pizzas per day x 4 days = 3,088 pizzas sold altogether. ### Answer: 3,088
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 Haiku:
Okay, let's break this down step-by-step: * The mouse eats 85 grains of rice per day * The mouse eats this amount for 93 days To calculate the total number of grains of rice the mouse eats, we need to multiply the daily amount by the number of days: * 85 grains per day x 93 days = 7,905 grains of rice in total ### Answer: 7,905
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 Haiku:
Okay, let's solve this step-by-step: * The mouse eats 625 grains of rice per day * The mouse eats this amount for 93 days To calculate the total number of grains of rice the mouse eats, we need to multiply the daily amount by the number of days: * 625 grains per day x 93 days = 58,125 grains of rice in total ### Answer: 58,125
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 Haiku:
Reasoning: The building has 83 floors. Each floor has 18 windows. To find the total number of windows in the entire building, we need to multiply the number of floors by the number of windows per floor. 83 floors x 18 windows per floor = <<83 x 18 = 1,494>>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 Haiku:
Reasoning: The building now has 4,633 floors. Each floor still has 18 windows. To find the total number of windows in the entire building, we need to multiply the number of floors by the number of windows per floor. 4,633 floors x 18 windows per floor = <<4,633 x 18 = 83,394>>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 Haiku:
Reasoning: The toothpaste company produced 2917 tubes for 3 consecutive days. To find the total number of toothpaste tubes produced, we need to multiply the number of tubes produced per day by the number of days. 2917 tubes per day x 3 days = <<2917 x 3 = 8751>>8751 tubes in total. ### 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 Haiku:
Reasoning: The toothpaste company now produces 1576 tubes for 3 consecutive days. To find the total number of toothpaste tubes produced, we need to multiply the number of tubes produced per day by the number of days. 1576 tubes per day x 3 days = <<1576 x 3 = 4728>>4728 tubes in total. ### 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 Haiku:
Okay, let's break this down step-by-step: * The student has 90 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: * 90 eraser packs x 81 erasers per pack = <<90 x 81 = 7,290>>7,290 erasers in total ### 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 Haiku:
Okay, let's solve this step-by-step: * The student now has 584 eraser packs * Each eraser pack still 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: * 584 eraser packs x 81 erasers per pack = <<584 x 81 = 47,304>>47,304 erasers in total ### 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 Haiku:
Reasoning: Each cake requires 2585 grams of flour. The baker creates 2 cakes. To find the total amount of flour needed, we multiply the amount of flour per cake by the number of cakes: 2585 grams of flour per cake x 2 cakes = 5170 grams of flour in total. ### 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 Haiku:
Reasoning: The new recipe requires 6073 grams of flour per cake. The baker is making 2 cakes. To find the total amount of flour needed, we multiply the amount of flour per cake by the number of cakes: 6073 grams of flour per cake x 2 cakes = 12,146 grams of flour in total. ### Answer: 12,146
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 Haiku:
Reasoning: Each necklace has 7303 beads. The jewelry maker designed 3 necklaces. To find the total number of beads used, we need to multiply the number of beads per necklace by the number of necklaces. 7303 beads per necklace x 3 necklaces = 21909 total beads. ### 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 Haiku:
Reasoning: Each necklace has 9719 beads. The jewelry maker designed 3 necklaces. To find the total number of beads used, we need to multiply the number of beads per necklace by the number of necklaces. 9719 beads per necklace x 3 necklaces = 29157 total 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 Haiku:
Okay, let's break this down step-by-step: * The fisherman catches 30 fish each day * He does this for 16 days To find the total number of fish caught, we need to multiply the number of fish caught per day by the number of days: * 30 fish per day x 16 days = 480 fish ### 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 Haiku:
Alright, let's solve this step-by-step: * The fisherman catches 2193 fish each day * He does this for 30 days To find the total number of fish caught, we need to multiply the number of fish caught per day by the number of days: * 2193 fish per day x 30 days = 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 Haiku:
Reasoning: The paint manufacturer produced 6 batches of paint, each containing 1868 liters. To find the total liters produced, we need to multiply the number of batches by the liters per batch. 6 batches x 1868 liters per batch = <<6 x 1868 = 11,208>> 11,208 liters in total. ### 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 Haiku:
Reasoning: The paint manufacturer now produces 6 batches, each containing 437 liters. To find the total liters produced, we need to multiply the number of batches by the liters per batch. 6 batches x 437 liters per batch = <<6 x 437 = 2,622>> 2,622 liters in total. ### 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 Haiku:
Reasoning: The forest contains 74 trees. Each tree produces 10 kilograms of fruits. To find the total kilograms of fruits produced by the forest, we need to multiply the number of trees by the kilograms of fruits produced by each tree. Total kilograms of fruits = 74 trees x 10 kilograms per tree = <<74 x 10 = 740>>740 kilograms. ### 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 Haiku:
Reasoning: The forest contains 5619 trees. Each tree produces 10 kilograms of fruits. To find the total kilograms of fruits produced by these trees, we need to multiply the number of trees by the kilograms of fruits produced by each tree. Total kilograms of fruits = 5619 trees x 10 kilograms per tree = <<5619 x 10 = 56,190>>56,190 kilograms. ### 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 Haiku:
Reasoning: The farmer grows 41 carrots in each of his 21 vegetable patches. To find the total number of carrots, we need to multiply the number of carrots per patch by the number of patches. 41 carrots per patch x 21 patches = <<41 x 21 = 861>>861 carrots in total. ### 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 Haiku:
Reasoning: The farmer has grown 1194 carrots from each of his 41 vegetable patches. To find the total number of carrots, we need to multiply the number of carrots per patch by the number of patches. 1194 carrots per patch x 41 patches = <<1194 x 41 = 49,014>>49,014 carrots in total. ### Answer: 49,014
Expected answer: 48954
Correct? No
Problem: A drum manufacturer produces 3070 drums per day for 7 days. How many drums are produced in total?
Claude-3 Haiku:
Okay, let's break this down step-by-step: * The drum manufacturer produces 3070 drums per day * They produce drums for 7 days To calculate the total number of drums produced, we need to multiply the number of drums produced per day by the number of days: * 3070 drums per day x 7 days = 21,490 drums ### Answer: 21,490
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 Haiku:
Okay, let's solve this step-by-step: * The drum manufacturer now produces 2161 drums per day * They produce drums for 7 days To calculate the total number of drums produced, we need to multiply the number of drums produced per day by the number of days: * 2161 drums per day x 7 days = 15,127 drums ### Answer: 15,127
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 Haiku:
Okay, let's break this down step-by-step: * The toothbrush company produces 2949 toothbrushes every hour * They do this for 6 hours To find the total number of toothbrushes produced, we need to multiply the number of toothbrushes produced per hour by the number of hours: * 2949 toothbrushes per hour x 6 hours = <<2949 x 6 = 17,694>> 17,694 toothbrushes ### Answer: 17,694
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 Haiku:
Okay, let's break this down step-by-step: * The toothbrush company now produces 6645 toothbrushes every hour * They do this for 6 hours To find the total number of toothbrushes produced, we need to multiply the number of toothbrushes produced per hour by the number of hours: * 6645 toothbrushes per hour x 6 hours = <<6645 x 6 = 39,870>> 39,870 toothbrushes ### Answer: 39,870
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 Haiku:
Reasoning: The farm produces 8938 liters of milk every day. The farm produces this amount for 4 days. To find the total amount of milk produced, we need to multiply the daily production by the number of days. 8938 liters per day x 4 days = 35,752 liters of milk. ### Answer: 35,752
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 Haiku:
Okay, let's break this down step-by-step: 1) The farm previously produced 8938 liters of milk per day for 4 days. 2) The total milk produced in the previous period was: 8938 liters/day x 4 days = 35,752 liters 3) Now, the farm has reduced its daily milk production to 2776 liters per day. 4) The farm is still producing milk for 4 days. 5) To find the total milk produced in the new period, we multiply the daily production by the number of days: 2776 liters/day x 4 days = 11,104 liters ### Answer: 11,104
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 Haiku:
Okay, let's break this down step-by-step: * The puzzle creator designed 2588 puzzles each year * He did this for 9 years To find the total number of puzzles designed, we need to multiply the number of puzzles per year by the number of years: * 2588 puzzles per year x 9 years = 23,292 puzzles in total ### Answer: 23,292
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 Haiku:
Okay, let's solve this step-by-step: * The puzzle creator designed 2704 puzzles each year * He did this for 9 years To find the total number of puzzles designed, we need to multiply the number of puzzles per year by the number of years: * 2704 puzzles per year x 9 years = 24,336 puzzles in total ### Answer: 24,336
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 Haiku:
Okay, let's solve this step-by-step: * The person gives 2 gifts * Each gift is worth $9797 * To find the total cost of the gifts, we need to multiply the number of gifts by the cost of each gift Total cost = Number of gifts x Cost of each gift Total cost = 2 x $9797 Total cost = $19,594 ### Answer: $19,594
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 Haiku:
Okay, let's solve this step-by-step: * The person gives 2 other gifts * Each gift is worth $6151 * To find the total cost of these other gifts, we need to multiply the number of gifts by the cost of each gift Total cost of other gifts = Number of gifts x Cost of each gift Total cost of other gifts = 2 x $6151 Total cost of other gifts = $12,302 ### Answer: $12,302
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 Haiku:
Reasoning: The player collected 1 diamond worth 6338 points. Therefore, the total points the player has collected from diamonds is: 1 diamond x 6338 points per diamond = <<1 x 6338 = 6338>>6338 points. ### 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 Haiku:
Reasoning: The player collected 1 diamond worth 166 points. Therefore, the total points the player has collected from this diamond is: 1 diamond x 166 points per diamond = <<1 x 166 = 166>>166 points. ### 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 Haiku:
Reasoning: Each box contains 81 pairs of socks. The company made 98 boxes. To find the total number of pairs of socks made, we need to multiply the number of pairs per box by the number of boxes. 81 pairs per box x 98 boxes = <<81 x 98 = 7,938>>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 Haiku:
Okay, let's work this out step-by-step: * The sock company packages 645 pairs of socks in one box * They made 98 boxes * To find the total number of pairs of socks made, we need to multiply the number of pairs per box by the number of boxes * 645 pairs per box x 98 boxes = <<645 x 98 = 63,210>>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 Haiku:
Okay, let's break this down step-by-step: * The telescope magnifies the object 67 times * Each magnification adds 86 units to the object's size To find the total size of the object with added magnification, we need to calculate the total number of units added to the original object size. The total number of units added = 67 magnifications x 86 units per magnification = 67 x 86 = 5,762 units Therefore, the total size of the object with added magnification is the original object size plus the total number of units added. ### Answer: 5,762
Expected answer: 5762
Correct? Yes
Problem: The original object size under the telescope was 58 units instead of 86. If the telescope still magnifies the object 67 times, what would be the total size of the object now?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The original object size under the telescope was 58 units * The telescope magnifies the object 67 times * Each magnification adds 58 units to the object's size To find the total size of the object with added magnification, we need to calculate the total number of units added to the original object size. The total number of units added = 67 magnifications x 58 units per magnification = 67 x 58 = 3,886 units Therefore, the total size of the object with added magnification is the original object size plus the total number of units added. Original object size: 58 units Total units added: 3,886 units Total size of object: 58 + 3,886 = 3,944 units ### Answer: 3,944
Expected answer: 3886
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 Haiku:
Okay, let's break this down step-by-step: * The computer company produces 1010 computer units every day * This is over a period of 7 days To calculate the total number of computer units manufactured, we need to multiply the number of units produced per day by the number of days: * 1010 units per day x 7 days = 7070 total units ### 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 Haiku:
Alright, let's solve this step-by-step: * The computer company can produce 8413 computer units each day * This is over a period of 7 days To calculate the total number of computer units manufactured, we need to multiply the number of units produced per day by the number of days: * 8413 units per day x 7 days = 58891 total units ### 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 Haiku:
Reasoning: The song lasts 9888 seconds. If the song is played back-to-back twice, it will last for 2 times the original duration. 2 x 9888 seconds = <<2 x 9888 = 19776>> 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 Haiku:
Reasoning: The new song lasts 3435 seconds. If the new song is played back-to-back twice, it will last for 2 times the original duration. 2 x 3435 seconds = <<2 x 3435 = 6870>> 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 Haiku:
Reasoning: Each box of crayons contains 4535 crayons. The factory produces 4 boxes of crayons. To find the total number of crayons produced, we need to multiply the number of crayons per box by the number of boxes. 4535 crayons per box x 4 boxes = <<4535 x 4 = 18,140>>18,140 crayons in total. ### 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 Haiku:
Reasoning: Each box of crayons now contains 7780 crayons. The factory still produces 4 boxes of crayons. To find the total number of crayons produced with the increased output, we need to multiply the number of crayons per box by the number of boxes. 7780 crayons per box x 4 boxes = <<7780 x 4 = 31,120>>31,120 crayons in total. ### 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 Haiku:
Reasoning: * The backpack brand produces 4563 bags daily * They produce these bags for a week, which is 7 days To calculate the total number of backpacks produced, we need to multiply the daily production by the number of days in a week: 4563 bags per day x 7 days = 31,941 bags in total ### Answer: 31,941
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 Haiku:
Okay, let's solve this step-by-step: * The backpack brand produces 9981 bags daily * They produce these bags for a week, which is 7 days To calculate the total number of backpacks produced, we need to multiply the daily production by the number of days in a week: 9981 bags per day x 7 days = 69,867 bags in total ### Answer: 69,867
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 Haiku:
Reasoning: The roller skate company makes 95 pairs of roller skates every hour. They work for 17 hours a day. To find the total number of pairs of roller skates made in a day, we need to multiply the number of pairs made per hour by the number of hours worked per day. 95 pairs per hour x 17 hours per day = <<95 x 17 = 1,615>>1,615 pairs of roller skates made 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 Haiku:
Okay, let's solve this step-by-step: * The roller skate company now makes 3137 pairs of roller skates every hour * They work for 17 hours a day * To find the total number of pairs of roller skates made in a day, we need to multiply the number of pairs made per hour by the number of hours worked per day 3137 pairs per hour x 17 hours per day = <<3137 x 17 = 53,329>>53,329 pairs of roller skates made 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 Haiku:
Okay, let's break this down step-by-step: * The chair designer uses 97 pieces of wood for each chair * The designer makes 97 chairs * To find the total number of pieces of wood used, we need to multiply the number of pieces per chair by the number of chairs made: * 97 pieces of wood per chair x 97 chairs = <<97 x 97 = 9,409>>9,409 pieces of wood used in total ### 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 Haiku:
Okay, let's solve this step-by-step: * The chair designer now uses 269 pieces of wood for each chair * The designer still makes 97 chairs * To find the total number of pieces of wood used, we need to multiply the number of pieces per chair by the number of chairs made: * 269 pieces of wood per chair x 97 chairs = <<269 x 97 = 26,093>>26,093 pieces of wood used in total ### 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 Haiku:
Okay, let's break this down step-by-step: * The sports store sells 20 pairs of ice skates per day * Each pair of ice skates is priced at $99 * To calculate the total revenue in one day, we need to multiply the number of pairs sold by the price per pair. Total revenue = Number of pairs sold x Price per pair Total revenue = 20 x $99 Total revenue = $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 Haiku:
Okay, let's solve this step-by-step: * The sports store originally thought they sold 20 pairs of ice skates per day, each priced at $99. * But they actually sold 943 pairs of ice skates per day. * To calculate the total revenue in one day, we need to multiply the number of pairs sold by the price per pair. Total revenue = Number of pairs sold x Price per pair Total revenue = 943 x $99 Total revenue = $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 Haiku:
Reasoning: * There are 73 flamingos in total. * Each flamingo eats 10 shrimp every day. * To find the total number of shrimp needed, we multiply the number of flamingos by the number of shrimp each flamingo eats per day. * 73 flamingos x 10 shrimp per flamingo = 730 shrimp. ### 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 Haiku:
Reasoning: * There are 4695 flamingos in total. * Each flamingo eats 10 shrimp every day. * To find the total number of shrimp needed, we multiply the number of flamingos by the number of shrimp each flamingo eats per day. * 4695 flamingos x 10 shrimp per flamingo = 46,950 shrimp. ### Answer: 46,950
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 Haiku:
Reasoning: The beach ball factory produces 83 beach balls each hour. They produce beach balls for 89 hours. To find the total number of beach balls made, we need to multiply the number of beach balls produced per hour by the number of hours. 83 beach balls per hour x 89 hours = <<83 x 89 = 7,387>>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 Haiku:
Reasoning: The beach ball factory now produces 566 beach balls each hour. They produce beach balls for 89 hours. To find the total number of beach balls made, we need to multiply the number of beach balls produced per hour by the number of hours. 566 beach balls per hour x 89 hours = <<566 x 89 = 50,374>>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 Haiku:
Reasoning: * The marine biologist found 91 groups of starfish * Each group contained 36 starfish * To find the total number of starfish, we need to multiply the number of groups by the number of starfish in each group: * 91 groups x 36 starfish per group = 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 Haiku:
Okay, let's solve this step-by-step: 1. The marine biologist initially thought there were 91 groups of starfish, with 36 starfish in each group. * 91 groups x 36 starfish per group = 3,276 starfish 2. After careful examination, she found that there were actually 2,771 groups of starfish, not 91. * Each group still contained 36 starfish. 3. To find the total number of starfish, we need to multiply the new number of groups (2,771) by the number of starfish in each group (36). * 2,771 groups x 36 starfish per group = 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 Haiku:
Reasoning: Each jungle gym requires 74 pieces. There are 37 jungle gyms in total. To find the total number of pieces used, we multiply the number of pieces per jungle gym (74) by the total number of jungle gyms (37). 74 pieces per jungle gym x 37 jungle gyms = <<74 x 37 = 2,738>>2,738 total pieces used. ### 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 Haiku:
Reasoning: Each jungle gym requires 579 pieces. There are 37 jungle gyms in total. To find the total number of pieces used, we multiply the number of pieces per jungle gym (579) by the total number of jungle gyms (37). 579 pieces per jungle gym x 37 jungle gyms = <<579 x 37 = 21,423>>21,423 total pieces used. ### 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 Haiku:
Okay, let's break this down step-by-step: * The company produces 9978 phones every hour * They do this for 9 hours To find the total number of phones produced, we need to multiply the number of phones produced per hour by the number of hours: * 9978 phones per hour x 9 hours = 89,802 phones ### 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 Haiku:
Alright, let's solve this step-by-step: * The company produces 3458 phones every hour * They do this for 9 hours To find the total number of phones produced, we need to multiply the number of phones produced per hour by the number of hours: * 3458 phones per hour x 9 hours = 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 Haiku:
Okay, let's break this down step-by-step: * The Princess owns 16 dresses * Each dress has 72 sequins * To find the total number of sequins, we need to multiply the number of dresses by the number of sequins per dress: * 16 dresses x 72 sequins per dress = 1,152 sequins ### 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 Haiku:
Okay, let's solve this step-by-step: * The Princess actually owns 1016 dresses, not 16 dresses * Each dress has 72 sequins * To find the total number of sequins, we need to multiply the number of dresses by the number of sequins per dress: * 1016 dresses x 72 sequins per dress = 73,152 sequins ### 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 Haiku:
Reasoning: The shoe factory makes 5227 shoes every day. They make shoes for 8 days. To find the total number of shoes made, we need to multiply the number of shoes made per day by the number of days. 5227 shoes per day x 8 days = 41,816 shoes. ### 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 Haiku:
Okay, let's solve this step-by-step: * The shoe factory makes 2311 shoes each day * They make shoes for 8 days * To find the total number of shoes made, we need to multiply the number of shoes made per day by the number of days * 2311 shoes per day x 8 days = 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 Haiku:
Reasoning: The cheese factory produces 7975 kilograms of cheese every day. The factory produces cheese for 4 days. To find the total kilograms of cheese produced, we need to multiply the daily production by the number of days. 7975 kilograms per day x 4 days = <<7975 x 4 = 31,900>> 31,900 kilograms of cheese produced. ### Answer: 31,900
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 Haiku:
Okay, let's solve this step-by-step: * The cheese factory produces 4145 kilograms of cheese each day * They produce cheese for 4 days * To find the total kilograms of cheese produced, we need to multiply the daily production by the number of days Daily production: 4145 kilograms Number of days: 4 Total kilograms of cheese produced = 4145 kilograms x 4 days = <<4145 x 4 = 16,580>> 16,580 kilograms ### Answer: 16,580
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 Haiku:
Okay, let's break this down step-by-step: * There are 8061 grains of sand in each of 9 piles * To find the total number of grains of sand, we need to multiply the number of grains in each pile by the number of piles * 8061 grains per pile x 9 piles = 72,549 grains of sand in total ### Answer: 72,549
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 Haiku:
Okay, let's solve this step-by-step: * There are 9553 grains of sand in each of 9 piles * To find the total number of grains of sand, we need to multiply the number of grains in each pile by the number of piles * 9553 grains per pile x 9 piles = 86,977 grains of sand in total ### Answer: 86,977
Expected answer: 85977
Correct? No
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 Haiku:
Reasoning: The police station receives 20 emergency calls every day. The number of days is 93. To find the total number of emergency calls received, we need to multiply the number of calls per day by the number of days. 20 calls per day x 93 days = <<20 x 93 = 1,860>>1,860 emergency calls in total. ### 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 Haiku:
Reasoning: The police station receives 20 emergency calls every day. The number of days is 2675. To find the total number of emergency calls received, we need to multiply the number of calls per day by the number of days. 20 calls per day x 2675 days = <<20 x 2675 = 53,500>>53,500 emergency calls in total. ### 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 Haiku:
Okay, let's break this down step-by-step: * The baby says 6569 words in a day * This happens for 8 days To find the total number of words the baby says, we need to multiply the number of words per day by the number of days: * 6569 words per day x 8 days = <<6569 x 8 = 52552>>52,552 words in total ### Answer: 52,552
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 Haiku:
Okay, let's solve this step-by-step: * The baby says 6695 words per day * This happens for 8 days To find the total number of words the baby says, we need to multiply the number of words per day by the number of days: * 6695 words per day x 8 days = <<6695 x 8 = 53,560>>53,560 words in total ### Answer: 53,560
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 Haiku:
Okay, let's break this down step-by-step: * Each day, the penguin lays 48 eggs * This happens for 54 days To calculate the total number of eggs laid, we need to multiply the number of eggs laid per day by the number of days: * 48 eggs per day x 54 days = <<48 x 54 = 2,592>> 2,592 eggs ### 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 Haiku:
Reasoning: * The hat maker has crafted 9 unique hats * Each hat has a special design consisting of 3084 stitches To find the total number of stitches across all hats, we need to multiply the number of hats by the number of stitches per hat. Total stitches = Number of hats × Stitches per hat Total stitches = 9 × 3084 Total stitches = <<9 × 3084 = 27,756>>27,756 ### Answer: 27,756
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 Haiku:
Okay, let's solve this step-by-step: * The hat maker has crafted 9 unique hats * Each hat has a more complex design consisting of 9163 stitches To find the total number of stitches across all hats, we need to multiply the number of hats by the number of stitches per hat. Total stitches = Number of hats × Stitches per hat Total stitches = 9 × 9163 Total stitches = <<9 × 9163 = 82,467>>82,467 ### Answer: 82,467
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 Haiku:
Reasoning: The question states that the certain breed of cat has an average of 3393 strands of fur. Since the question is asking about a single cat of this breed, the number of strands of fur it has is 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 Haiku:
Reasoning: The question states that the certain breed of cat has an average of 5245 strands of fur. Since the question is asking about a single cat of this breed, the number of strands of fur it has is 5245. ### 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 Haiku:
Reasoning: The bakery makes 2 cakes, each with 2873 calories. To find the total calories, we need to multiply the number of cakes by the calories per cake. 2 cakes x 2873 calories per cake = <<2 x 2873 = 5746>> 5746 calories in total. ### 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 Haiku:
Reasoning: The bakery makes 2 cakes, each with 5243 calories. To find the total calories, we need to multiply the number of cakes by the calories per cake. 2 cakes x 5243 calories per cake = <<2 x 5243 = 10486>> 10486 calories in total. ### 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 Haiku:
Reasoning: The company produces 9266 sleeping bags every day for 9 days. To find the total number of sleeping bags produced, we need to multiply the number of sleeping bags produced per day by the number of days. 9266 sleeping bags per day x 9 days = <<9266 x 9 = 83,394>>83,394 sleeping bags. ### 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 Haiku:
Okay, let's solve this step-by-step: * The company produces 8567 sleeping bags every day * They do this for 9 days * To find the total number of sleeping bags produced, we multiply the number of sleeping bags per day by the number of days: * 8567 sleeping bags per day x 9 days = <<8567 x 9 = 77,103>>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 Haiku:
Okay, let's break this down step-by-step: * The candy factory produces 3108 candies every hour * They produce candies for 5 hours To find the total number of candies produced, we need to multiply the number of candies produced per hour by the number of hours: * 3108 candies per hour x 5 hours = 15,540 candies Therefore, the candy factory has produced 15,540 candies. ### Answer: 15,540
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 Haiku:
Okay, let's solve this step-by-step: * The candy factory now produces 7880 candies every hour * They produce candies for 5 hours To find the total number of candies produced, we need to multiply the number of candies produced per hour by the number of hours: * 7880 candies per hour x 5 hours = 39,400 candies Therefore, the candy factory has now produced 39,400 candies. ### Answer: 39,400
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 Haiku:
Okay, let's break this down step-by-step: * The group of children built 5 snowmen * Each snowman contains 4016 snowballs To find the total number of snowballs used, we need to multiply the number of snowmen by the number of snowballs in each snowman: * 5 snowmen x 4016 snowballs per snowman = 20,080 snowballs ### Answer: 20,080
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 Haiku:
Okay, let's solve this step-by-step: * The group of children built 5 snowmen * Each snowman contains 174 snowballs To find the total number of snowballs used, we need to multiply the number of snowmen by the number of snowballs in each snowman: * 5 snowmen x 174 snowballs per snowman = 870 snowballs ### 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 Haiku:
Okay, let's break this down step-by-step: * The dairy farmer fills up 88 bottles of milk each day * Each bottle contains 46 liters of milk * To find the total liters of milk filled up in a day, we need to multiply the number of bottles by the amount of milk in each bottle: * 88 bottles x 46 liters per bottle = <<88 x 46 = 4,048>>4,048 liters of milk filled up 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 Haiku:
Okay, let's solve this step-by-step: * The dairy farmer now fills up 2,110 bottles of milk each day * Each bottle contains 46 liters of milk * To find the total liters of milk filled up in a day, we need to multiply the number of bottles by the amount of milk in each bottle: * 2,110 bottles x 46 liters per bottle = <<2,110 x 46 = 97,060>>97,060 liters of milk filled up 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 Haiku:
Okay, let's break this down step-by-step: * The river flows at a rate of 9441 litres per second * We want to find the total amount of water discharged into the sea in 9 seconds To calculate the total amount of water discharged, we need to multiply the flow rate by the time: * Flow rate: 9441 litres per second * Time: 9 seconds * Total amount of water discharged = 9441 litres/second x 9 seconds = <<9441 x 9 = 84,969>> 84,969 litres ### Answer: 84,969 litres
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 Haiku:
Okay, let's solve this step-by-step: * The river flows at a rate of 4184 litres per second * We want to find the total amount of water discharged into the sea in 9 seconds To calculate the total amount of water discharged, we need to multiply the flow rate by the time: * Flow rate: 4184 litres per second * Time: 9 seconds * Total amount of water discharged = 4184 litres/second x 9 seconds = <<4184 x 9 = 37,656>> 37,656 litres ### Answer: 37,656 litres
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 Haiku:
Reasoning: The balloon factory creates 4238 balloons every day for 8 days. To find the total number of balloons created, we need to multiply the number of balloons created per day by the number of days. 4238 balloons per day x 8 days = <<4238 x 8 = 33,904>>33,904 balloons. ### 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 Haiku:
Okay, let's solve this step-by-step: * The balloon factory produces 97 balloons per day * They produce balloons for 8 days * To find the total number of balloons created, we multiply the number of balloons per day by the number of days: * 97 balloons per day x 8 days = <<97 x 8 = 776>>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 Haiku:
Okay, let's break this down step-by-step: * The ice cream factory produces 59 batches of ice cream every day * They do this for 26 days To find the total number of batches produced, we need to multiply the number of batches per day by the number of days: * 59 batches per day x 26 days = 1,534 total batches ### Answer: 1,534
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 Haiku:
Okay, let's solve this step-by-step: * The factory now produces 656 batches of ice cream every day * They do this for 26 days To find the total number of batches produced, we need to multiply the number of batches per day by the number of days: * 656 batches per day x 26 days = 17,056 total batches ### Answer: 17,056
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 Haiku:
Okay, let's solve this step-by-step: * The fish breeder has 86 tanks * Each tank has 91 fish * To find the total number of fish, we need to multiply the number of tanks by the number of fish in each tank: * 86 tanks x 91 fish per tank = <<86 x 91 = 7,826>> 7,826 fish in total ### 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 Haiku:
Okay, let's solve this step-by-step: * The fish breeder has 86 tanks * Each tank now 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: * 86 tanks x 581 fish per tank = <<86 x 581 = 49,966>> 49,966 fish in total ### 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 Haiku:
Reasoning: The car factory produces 42 cars every hour. The factory operates for 21 hours. To find the total number of cars produced, we need to multiply the number of cars produced per hour by the number of hours the factory operates. Total cars produced = 42 cars/hour × 21 hours = <<42 × 21 = 882>>882 cars. ### 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 Haiku:
Okay, let's break this down step-by-step: * Initially, the car factory produced 42 cars every hour for 21 hours * So the total cars produced in the initial 21 hours was 42 cars/hour x 21 hours = 882 cars Now, for the increased production period: * The factory produced 1204 cars every hour * This increased production period lasted for 42 hours * To find the total cars produced during this increased production period, we multiply the cars per hour by the number of hours: * 1204 cars/hour x 42 hours = <<1204 x 42 = 50,568>>50,568 cars ### 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 Haiku:
Reasoning: The library has 53 shelves. Each shelf has 63 books. To find the total number of books in the library, we need to multiply the number of shelves by the number of books per shelf. 53 shelves x 63 books per shelf = <<53 x 63 = 3,339>>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 Haiku:
Reasoning: The library now has 581 shelves. Each shelf has 63 books. To find the total number of books in the library, we need to multiply the number of shelves by the number of books per shelf. 581 shelves x 63 books per shelf = <<581 x 63 = 36,603>>36,603 books in the library. ### 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 Haiku:
Okay, let's break this down step-by-step: 1) The intensity increases by 6890 units for each color seen. 2) There are 8 colors appearing in the rainbow. 3) To find the total increase in intensity, we need to multiply the increase per color by the number of colors: * Increase per color: 6890 units * Number of colors: 8 * Total increase in intensity = 6890 * 8 = 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 Haiku:
Okay, let's solve this step-by-step: 1) The revised intensity increase per color is 4301 units. 2) There are still 8 colors appearing in the rainbow. 3) To find the total increase in intensity, we need to multiply the revised increase per color by the number of colors: * Revised increase per color: 4301 units * Number of colors: 8 * Total increase in intensity = 4301 * 8 = 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 Haiku:
Okay, let's break this down step-by-step: * Your friend scans 3173 photos every day * They do this for 9 days To find the total number of photos scanned, we need to multiply the number of photos scanned per day by the number of days: * 3173 photos per day x 9 days = <<3173 x 9 = 28,557>>28,557 photos in total ### 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 Haiku:
Okay, let's break this down step-by-step: * Your friend scans 8149 photos every day * They do this for 9 more days To find the total number of additional photos scanned, we need to multiply the number of photos scanned per day by the number of days: * 8149 photos per day x 9 days = <<8149 x 9 = 73,341>>73,341 additional photos ### 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 Haiku:
Reasoning: * The gardener plants 33 flowers * Each flower takes 60 minutes to plant * To find the total time, we need to multiply the number of flowers by the time it takes to plant each flower: * 33 flowers x 60 minutes per flower = <<33 x 60 = 1980>> 1980 minutes ### Answer: 1980 minutes
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 Haiku:
Reasoning: * The gardener plants 1523 flowers * Each flower takes 60 minutes to plant * To find the total time, we need to multiply the number of flowers by the time it takes to plant each flower: * 1523 flowers x 60 minutes per flower = <<1523 x 60 = 91,380>> 91,380 minutes ### Answer: 91,380 minutes
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 Haiku:
Reasoning: Each skirt uses 94 inches of fabric. The dressmaker creates 12 skirts. To find the total amount of fabric used, we multiply the number of skirts by the amount of fabric used per skirt: 12 skirts x 94 inches per skirt = <<12 x 94 = 1,128>>1,128 inches of fabric. ### 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 Haiku:
Reasoning: * The alien fleet dispatched 18 UFOs to Earth * Each UFO is carrying 22 extraterrestrials * To find the total number of aliens sent to Earth, we need to multiply the number of UFOs by the number of extraterrestrials in each UFO. Total number of aliens sent to Earth = Number of UFOs × Number of extraterrestrials per UFO Total number of aliens sent to Earth = 18 × 22 Total number of aliens sent to Earth = 396 ### 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 Haiku:
Okay, let's solve this step-by-step: * The alien fleet dispatched 18 UFOs to Earth * Each UFO is carrying 1066 extraterrestrials * To find the total number of aliens sent to Earth, we need to multiply the number of UFOs by the number of extraterrestrials in each UFO. Total number of aliens sent to Earth = Number of UFOs × Number of extraterrestrials per UFO Total number of aliens sent to Earth = 18 × 1066 Total number of aliens sent to Earth = 19,188 ### 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 Haiku:
Okay, let's break this down step-by-step: * The kite maker produces 3 types of kites * Each type of kite has 8497 pieces To find the total number of pieces, we need to multiply the number of types of kites by the number of pieces per type: * 3 types of kites x 8497 pieces per type = 25,491 total pieces ### Answer: 25,491
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 Haiku:
Okay, let's solve this step-by-step: * The kite maker produces 3 types of kites * Each type of kite now has 4425 pieces (instead of 8497 pieces) To find the total number of pieces, we need to multiply the number of types of kites by the number of pieces per type: * 3 types of kites x 4425 pieces per type = 13,275 total pieces ### Answer: 13,275
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 Haiku:
Reasoning: The factory makes 23 teddy bears every hour. The factory operates for 63 hours. To find the total number of teddy bears made, we multiply the number of teddy bears made per hour by the number of hours the factory operates: 23 teddy bears per hour x 63 hours = <<23 x 63 = 1,449>>1,449 teddy bears. ### 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 Haiku:
Okay, let's break this down step-by-step: * The pirate's treasure map shows 90 pieces of gold hidden for each of the 31 days in a month. * To find the total number of pieces of gold indicated on the map, we need to multiply the number of pieces per day (90) by the number of days in the month (31). Calculation: * 90 pieces of gold per day x 31 days = 2,790 pieces of gold in total. ### 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 Haiku:
Okay, let's break this down step-by-step: * The company has received an order to make 92 tables every day * This order is for 28 days * To find the total number of tables they will make, we need to multiply the number of tables per day by the number of days Calculation: * 92 tables per day x 28 days = 2,576 tables ### 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 Haiku:
Okay, let's break this down step-by-step: First, let's calculate the number of tables made in the first 28 days: * 92 tables per day x 28 days = 2,576 tables Now, let's calculate the number of tables made in the next 92 days: * 843 tables per day x 92 days = 77,556 tables To find the total number of tables made, we add the two amounts together: * 2,576 + 77,556 = 80,132 tables ### Answer: 80,132
Expected answer: 77556
Correct? No
Problem: A fireplace burns 7905 logs every week for 4 weeks. How many logs did it burn?
Claude-3 Haiku:
Reasoning: The fireplace burns 7905 logs every week. The fireplace burns for 4 weeks. To find the total number of logs burned, we need to multiply the number of logs burned per week by the number of weeks. 7905 logs per week x 4 weeks = <<7905 x 4 = 31,620>> 31,620 logs. ### Answer: 31,620
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 Haiku:
Reasoning: The fireplace burns 8373 logs every week. The fireplace burns for 4 weeks. To find the total number of logs burned, we need to multiply the number of logs burned per week by the number of weeks. 8373 logs per week x 4 weeks = <<8373 x 4 = 33,492>> 33,492 logs. ### Answer: 33,492
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 Haiku:
Okay, let's break this down step-by-step: * The factory produces 7837 tubes of toothpaste every hour * The factory operates for 9 hours To find the total number of tubes of toothpaste produced, we need to multiply the number of tubes produced per hour by the number of hours the factory operates. 7837 tubes per hour x 9 hours = <<7837 x 9 = 70,533>>70,533 tubes of toothpaste ### 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 Haiku:
Okay, let's solve this step-by-step: * The factory produces 291 tubes of toothpaste every hour * The factory operates for 9 hours To find the total number of tubes of toothpaste produced, we need to multiply the number of tubes produced per hour by the number of hours the factory operates. 291 tubes per hour x 9 hours = <<291 x 9 = 2,619>>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 Haiku:
Okay, let's break this down step-by-step: * The farmer harvests 3799 cucumbers from each of his 3 fields * To find the total number of cucumbers harvested, we need to multiply the number of cucumbers per field by the number of fields * 3799 cucumbers per field x 3 fields = 11,397 cucumbers in total ### Answer: 11,397
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 Haiku:
Alright, let's solve this step-by-step: * The farmer harvested 550 cucumbers from each of his 3 fields * To find the total number of cucumbers harvested, we need to multiply the number of cucumbers per field by the number of fields * 550 cucumbers per field x 3 fields = 1,650 cucumbers in total ### Answer: 1,650
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 Haiku:
Okay, let's break this down step-by-step: * There are 84 enclosures in the zoo * Each enclosure has 48 animals * To find the total number of animals, we need to multiply the number of enclosures by the number of animals in each enclosure: * 84 enclosures x 48 animals per enclosure = <<84 x 48 = 4,032>>4,032 animals in total ### 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 Haiku:
Okay, let's solve this step-by-step: * There are 84 enclosures in the zoo * Each enclosure now houses 511 animals * To find the total number of animals, we need to multiply the number of enclosures by the number of animals in each enclosure: * 84 enclosures x 511 animals per enclosure = <<84 x 511 = 42,924>>42,924 animals in total ### 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 Haiku:
Reasoning: The farmer harvested 43 bundles of carrots. Each bundle contains 40 carrots. To find the total number of carrots harvested, we need to multiply the number of bundles by the number of carrots in each bundle. 43 bundles x 40 carrots per bundle = 1,720 carrots. ### Answer: 1,720
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 Haiku:
Okay, let's break this down step-by-step: * The dragon burns 4618 trees each day * This happens for 3 days To find the total number of trees burned, we need to multiply the number of trees burned per day by the number of days: * 4618 trees per day x 3 days = 13,854 trees Therefore, the total number of trees burned by the dragon in these three days is: ### Answer: 13,854
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 Haiku:
Okay, let's solve this step-by-step: * The dragon burns 2302 trees each day * This happens for 3 days To find the total number of trees burned, we need to multiply the number of trees burned per day by the number of days: * 2302 trees per day x 3 days = 6,906 trees Therefore, the total number of trees burned by the dragon in these three days is: ### Answer: 6,906
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 Haiku:
Reasoning: The height of the second mountain is 1 times the height of the first mountain. The height of the first mountain is 3618 meters. Therefore, the height of the second mountain is 1 x 3618 = 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 Haiku:
Reasoning: The height of the third mountain is 1 times the height of the second mountain. The height of the second mountain is 3488 meters. Therefore, the height of the third mountain is 1 x 3488 = 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 Haiku:
Reasoning: The cloud formation occupies an area of 18 miles by 18 miles. To find the total number of square miles occupied by the cloud formation, we need to multiply the length and width. 18 miles x 18 miles = 324 square miles. ### Answer: 324 square miles.
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 Haiku:
Okay, let's solve this step-by-step: * The cloud formation now occupies an area of 18 miles by 2898 miles. * To find the total number of square miles, we multiply the length and width: * 18 miles x 2898 miles = 52,164 square miles. ### Answer: 52,164 square miles.
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 Haiku:
Reasoning: The grape farm produces 60 clusters of grapes every day. Each cluster contains 64 grapes. To find the total number of grapes produced in a day, we need to multiply the number of clusters by the number of grapes in each cluster. 60 clusters x 64 grapes per cluster = <<60 x 64 = 3,840>>3,840 grapes produced in a day. ### Answer: 3,840
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 Haiku:
Reasoning: The helicopter builder needs 3224 parts for each helicopter. They plan to build 4 helicopters. To find the total number of parts needed, we multiply the number of parts per helicopter by the number of helicopters: 3224 parts per helicopter x 4 helicopters = <<3224 x 4 = 12,896>>12,896 parts in total. ### Answer: 12,896
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 Haiku:
Reasoning: The helicopter builder now needs 7661 parts for each helicopter. They plan to build 4 helicopters. To find the total number of parts needed, we multiply the number of parts per helicopter by the number of helicopters: 7661 parts per helicopter x 4 helicopters = <<7661 x 4 = 30,644>>30,644 parts in total. ### Answer: 30,644
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 Haiku:
Reasoning: The jacket factory produces 3425 jackets each day. They produce jackets for 2 days. To find the total number of jackets produced, we need to multiply the number of jackets produced per day by the number of days. 3425 jackets per day x 2 days = 6850 jackets. ### 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 Haiku:
Reasoning: The jacket factory produces 2079 jackets each day. They produce jackets for 2 days. To find the total number of jackets produced, we need to multiply the number of jackets produced per day by the number of days. 2079 jackets per day x 2 days = 4158 jackets. ### 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 Haiku:
Reasoning: The towel factory produces 1380 towels every day for 9 days. To find the total number of towels produced, we need to multiply the number of towels produced per day by the number of days. 1380 towels per day x 9 days = <<1380 x 9 = 12,420>> 12,420 towels. ### Answer: 12,420
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 Haiku:
Reasoning: The towel factory now produces 7978 towels every day for 9 days. To find the total number of towels produced, we need to multiply the number of towels produced per day by the number of days. 7978 towels per day x 9 days = <<7978 x 9 = 71,802>> 71,802 towels. ### Answer: 71,802
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 Haiku:
Okay, let's break this down step-by-step: * The manufacturer makes 1 pair of binoculars per day * They sell each pair of binoculars for $7,743 To calculate the total amount the manufacturer makes in a day, we simply need to multiply the number of binoculars sold per day by the price per binocular: * 1 pair of binoculars per day x $7,743 per binocular = $7,743 per day ### Answer: $7,743
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 Haiku:
Okay, let's calculate the new daily revenue with the reduced price: * The manufacturer still makes 1 pair of binoculars per day * They now sell each pair of binoculars for $7,302 To calculate the total amount the manufacturer makes in a day with the reduced price, we multiply the number of binoculars sold per day by the new price per binocular: * 1 pair of binoculars per day x $7,302 per binocular = $7,302 per day ### Answer: $7,302
Expected answer: 7302
Correct? Yes