Common Core Standard 6.NS.B.3
This standard covers the following:
Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.
Problem: A window cleaning company charges $533.89 for cleaning the windows of a large building, and this cost is equally shared by 20.3 tenants. How much does each tenant contribute to the window cleaning cost?
Qwen2-Math 72B:
Reasoning: Each tenant contributes $533.89/20.3 = <<533.89/20.3=26.3>>26.3 dollars to the window cleaning cost. ### Answer: 26.3
Expected answer: 26.3000000000000
Correct? Yes
Problem: Previously, the window cleaning cost was divided among the tenants based on a total expense of $533.89. However, it turns out there was a mistake in the billing and the cleaning company only charged $21 for the job. With this adjusted cost, how much would each of the 20.3 tenants need to contribute to the window cleaning cost now?
Qwen2-Math 72B:
Reasoning: Each tenant contributes $21/20.3 = <<21/20.3=1.03>>1.03 dollars to the window cleaning cost. ### Answer: 1.03
Expected answer: 1.03448275862069
Correct? Yes
Problem: A company distributed 2218.5 kilograms of cucumber equally among 51 grocery stores. How many kilograms of cucumber did each store receive?
Qwen2-Math 72B:
Reasoning: Each store received 2218.5/51 = <<2218.5/51=43.5>>43.5 kilograms of cucumber. ### Answer: 43.5
Expected answer: 43.5000000000000
Correct? Yes
Problem: After the grocery stores received their portions of cucumber, each store decided to use 25.3 kilograms of their share for a special cucumber salad. How many kilograms of cucumber were left at each store after making the salad?
Qwen2-Math 72B:
Reasoning: Each store had 43.5 kilograms of cucumber initially. After using 25.3 kilograms for the salad, each store had 43.5 - 25.3 = <<43.5-25.3=18.2>>18.2 kilograms of cucumber left. ### Answer: 18.2
Expected answer: 18.2000000000000
Correct? Yes
Problem: A hat maker uses 70.2 grams of wool to make each hat. If they plan on making 39.2 hats, how many grams of wool will they need in total?
Qwen2-Math 72B:
Reasoning: To find the total amount of wool needed, we multiply the amount of wool used per hat by the number of hats being made. 70.2 grams/hat * 39.2 hats = <<70.2*39.2=2752.64>>2752.64 grams ### Answer: 2752.64 grams
Expected answer: 2751.84000000000
Correct? No
Problem: A cucumber weighs 1.93 pounds on average. If a farmer collects 18.06 cucumbers from his garden, how many pounds of cucumbers does he have in total?
Qwen2-Math 72B:
Reasoning: To find the total weight of the cucumbers, we need to multiply the weight of one cucumber by the number of cucumbers collected. Total weight = 1.93 pounds/cucumber * 18.06 cucumbers = <<1.93*18.06=34.8498>>34.8498 pounds ### Answer: 34.8498 pounds
Expected answer: 34.8558000000000
Correct? No
Problem: A mouse starts running from a point, he runs for 10.4 meters towards east, then turns around and runs for another 37.12 meters towards west. What is the total distance the mouse has run?
Qwen2-Math 72B:
Reasoning: The mouse runs for 10.4 meters towards east and then 37.12 meters towards west. The total distance the mouse has run is 10.4 + 37.12 = <<10.4+37.12=47.52>>47.52 meters. ### Answer: 47.52
Expected answer: 47.5200000000000
Correct? Yes
Problem: Continuing from the original problem, if the mouse starts by running a distance of 10.4 meters towards east, then changes his route and only runs 24 meters towards west instead of 37.12 meters, what would be the total distance run by the mouse then?
Qwen2-Math 72B:
Reasoning: The mouse runs for 10.4 meters towards east and then 24 meters towards west. The total distance the mouse has run is 10.4 + 24 = <<10.4+24=34.4>>34.4 meters. ### Answer: 34.4
Expected answer: 34.4000000000000
Correct? Yes
Problem: You bought a gold ring weighing 83.07 grams, but after polishing and curving, you lost 3.4 grams of gold from the ring. What is the weight of the finished ring?
Qwen2-Math 72B:
Reasoning: The weight of the finished ring is 83.07 - 3.4 = <<83.07-3.4=79.67>>79.67 grams. ### Answer: 79.67
Expected answer: 79.6700000000000
Correct? Yes
Problem: You bought a gold ring weighing 83.07 grams, but after polishing and curving, you lost 3.4 grams of gold from the ring. Afterward, you decided to add 6.8 grams of platinum to the ring. What is the total weight of the ring now?
Qwen2-Math 72B:
Reasoning: The weight of the finished ring is 83.07 - 3.4 = <<83.07-3.4=79.67>>79.67 grams. After adding platinum, the total weight is 79.67 + 6.8 = <<79.67+6.8=86.47>>86.47 grams. ### Answer: 86.47
Expected answer: 86.4700000000000
Correct? Yes
Problem: You bought a gold ring weighing 83.07 grams, but after an intricate engraving process, you lost 18 grams of gold from the ring. What is the weight of the engraved ring now?
Qwen2-Math 72B:
Reasoning: The weight of the engraved ring is 83.07 - 18 = <<83.07-18=65.07>>65.07 grams. ### Answer: 65.07
Expected answer: 65.0700000000000
Correct? Yes
Problem: A forest has 70.3 hectares filled with oak trees. If each hectare can absorb 88.8 tons of carbon dioxide a year, how many tons of carbon dioxide in total can these hectares of oak trees absorb in a year?
Qwen2-Math 72B:
Reasoning: The forest can absorb 70.3*88.8 = <<70.3*88.8=6247.44>>6247.44 tons of carbon dioxide in total in a year. ### Answer: 6247.44
Expected answer: 6242.64000000000
Correct? No
Problem: There were 81.4 kilograms of cucumbers in the storage room. After selling some of them, the weight dropped to 66.05 kilograms. How many kilograms of cucumbers were sold?
Qwen2-Math 72B:
Reasoning: The weight of cucumbers sold is 81.4 - 66.05 = <<81.4-66.05=15.35>>15.35 kilograms. ### Answer: 15.35
Expected answer: 15.3500000000000
Correct? Yes
Problem: Following from the previous problem, let's say initially there were 81.4 kilograms of cucumbers in the storage room but this time, the quantity sold was different, amounting to 44 kilograms instead. How many kilograms of cucumbers were left in the storage room after this sale?
Qwen2-Math 72B:
Reasoning: The weight of cucumbers left in the storage room is 81.4 - 44 = <<81.4-44=37.4>>37.4 kilograms. ### Answer: 37.4
Expected answer: 37.4000000000000
Correct? Yes
Problem: A snow machine produces 60.87 pounds of artificial snow per hour. If the machine runs for 27.5 hours, how many pounds of artificial snow will be produced?
Qwen2-Math 72B:
Reasoning: The snow machine produces 60.87 pounds of artificial snow per hour. If the machine runs for 27.5 hours, it will produce 60.87 * 27.5 = <<60.87*27.5=1670.475>>1670.475 pounds of artificial snow. ### Answer: 1670.475
Expected answer: 1673.92500000000
Correct? No
Problem: A dolphin can travel 1687.56 miles within a certain period. If it travels the same distance in 29.4 days, how many miles does the dolphin travel each day?
Qwen2-Math 72B:
Reasoning: To find out how many miles the dolphin travels each day, we need to divide the total distance by the number of days. Total distance = 1687.56 miles Number of days = 29.4 days Distance per day = Total distance / Number of days Distance per day = 1687.56 / 29.4 Distance per day = <<1687.56/29.4=57.4>>57.4 miles ### Answer: 57.4 miles
Expected answer: 57.4000000000000
Correct? Yes
Problem: Following from the previous problem, if a dolphin can travel an additional 57.93 miles per day due to current in its favor, how many total miles does the dolphin travel each day?
Qwen2-Math 72B:
Reasoning: To find out how many total miles the dolphin travels each day, we need to add the additional miles to the original distance per day. Original distance per day = 57.4 miles Additional distance per day = 57.93 miles Total distance per day = Original distance per day + Additional distance per day Total distance per day = 57.4 + 57.93 Total distance per day = <<57.4+57.93=115.33>>115.33 miles ### Answer: 115.33 miles
Expected answer: 115.330000000000
Correct? Yes
Problem: Following from the previous problem, what if the dolphin had travelled the same 1687.56 miles, but over a longer period of 91 days. How many miles would the dolphin have travelled each day then?
Qwen2-Math 72B:
Reasoning: To find out how many miles the dolphin travels each day, we need to divide the total distance by the number of days. Total distance = 1687.56 miles Number of days = 91 days Distance per day = Total distance / Number of days Distance per day = 1687.56 / 91 Distance per day = <<1687.56/91=18.54>>18.54 miles ### Answer: 18.54 miles
Expected answer: 18.5446153846154
Correct? Yes
Problem: A truck was carrying a load of 65.4 tons, but 56.3 tons were delivered. How many tons are still on the truck?
Qwen2-Math 72B:
Reasoning: The truck still has 65.4-56.3 = <<65.4-56.3=9.1>>9.1 tons on it. ### Answer: 9.1
Expected answer: 9.10000000000000
Correct? Yes
Problem: After delivering 56.3 tons from an initial load of 65.4 tons, the truck is loaded again with an additional 15.0 tons. How many tons does the truck carry now?
Qwen2-Math 72B:
Reasoning: The truck initially had 65.4 tons, after delivering 56.3 tons, it had 65.4-56.3 = <<65.4-56.3=9.1>>9.1 tons left. After loading an additional 15.0 tons, the truck now carries 9.1+15.0 = <<9.1+15.0=24.1>>24.1 tons. ### Answer: 24.1
Expected answer: 24.1000000000000
Correct? Yes
Problem: Instead of delivering 56.3 tons from an initial load of 65.4 tons as in the previous scenario, the driver only delivered 22 tons. How many tons are still on the truck now?
Qwen2-Math 72B:
Reasoning: The truck still has 65.4-22 = <<65.4-22=43.4>>43.4 tons on it. ### Answer: 43.4
Expected answer: 43.4000000000000
Correct? Yes
Problem: On a farm, there are 41.98 acres of land dedicated to growing corn and another 68.1 acres of land dedicated to growing wheat. How many acres of land has the farm dedicated to growing crops in total?
Qwen2-Math 72B:
Reasoning: The farm has 41.98+68.1 = <<41.98+68.1=109.08>>109.08 acres of land dedicated to growing crops in total. ### Answer: 109.08
Expected answer: 110.080000000000
Correct? No
Problem: A jeweler needs 97.79 grams of gold to make a men's ring and 75.6 grams of gold to make a women's ring. How many grams of gold in total does the jeweler need to make both the rings?
Qwen2-Math 72B:
Reasoning: The jeweler needs 97.79+75.6 = <<97.79+75.6=173.39>>173.39 grams of gold in total to make both the rings. ### Answer: 173.39
Expected answer: 173.390000000000
Correct? Yes
Problem: Suppose the jeweler is able to change the design of the men's ring such that it now only requires 23 grams of gold instead of 97.79 grams. Maintaining the requirement for the women's ring at 75.6 grams, how many grams of gold in total will the jeweler need to make both rings with the new design?
Qwen2-Math 72B:
Reasoning: The jeweler needs 23+75.6 = <<23+75.6=98.6>>98.6 grams of gold in total to make both the rings with the new design. ### Answer: 98.6
Expected answer: 98.6000000000000
Correct? Yes
Problem: A skateboard manufacturer spent $5098.56 to produce skateboards and the cost to produce each skateboard was $56.4. How many skateboards did the manufacturer produce?
Qwen2-Math 72B:
Reasoning: The manufacturer produced $5098.56/$56.4 = <<5098.56/56.4=90.4>>90.4 skateboards. ### Answer: 90.4
Expected answer: 90.4000000000000
Correct? Yes
Problem: Assuming that the last problem interpreted $5098.56 as the cost to produce skateboards and $56.4 as the cost of each skateboard. Let's consider the situation where the cost to produce each skateboard was reduced to $8. Under these new conditions, how many skateboards could the manufacturer produce with the same budget of $5098.56?
Qwen2-Math 72B:
Reasoning: With the reduced cost of $8 per skateboard, the manufacturer can produce $5098.56/$8 = <<5098.56/8=637.32>>637.32 skateboards. ### Answer: 637.32
Expected answer: 637.320000000000
Correct? Yes
Problem: If a drum kit weighs 97.35 pounds and another drum kit weighs 93.19 pounds, what is their combined weight in pounds?
Qwen2-Math 72B:
Reasoning: The combined weight of the two drum kits is 97.35 + 93.19 = <<97.35+93.19=190.54>>190.54 pounds. ### Answer: 190.54
Expected answer: 190.540000000000
Correct? Yes
Problem: If a drum kit weighs 97.35 pounds and another drum kit weighs 93.19 pounds, what is their combined weight in pounds? If the combined weight is then multiplied by 37.8, what would be the new weight?
Qwen2-Math 72B:
Reasoning: The combined weight of the two drum kits is 97.35 + 93.19 = <<97.35+93.19=190.54>>190.54 pounds. The new weight after multiplying by 37.8 is 190.54 * 37.8 = <<190.54*37.8=7200.912>>7200.912 pounds. ### Answer: 7200.912
Expected answer: 7202.41200000000
Correct? No
Problem: If initially, one of the drum kits weighed 46 pounds instead of 97.35 pounds and the other drum kit still weighed 93.19 pounds, what would then be their combined weight in pounds?
Qwen2-Math 72B:
Reasoning: The combined weight of the two drum kits would be 46 + 93.19 = <<46+93.19=139.19>>139.19 pounds. ### Answer: 139.19
Expected answer: 139.190000000000
Correct? Yes
Problem: A community well contained 4723.97 gallons of water. If the water from the well is equally divided into 89.3 water tanks, how many gallons of water will each tank contain?
Qwen2-Math 72B:
Reasoning: To find the number of gallons of water in each tank, we need to divide the total number of gallons of water by the number of tanks. 4723.97 gallons of water / 89.3 water tanks = <<4723.97/89.3=52.9>>52.9 gallons of water per tank. ### Answer: 52.9
Expected answer: 52.9000000000000
Correct? Yes
Problem: A certain breed of cat eats 53.68 grams of cat food per meal. If a cat of this breed eats 83.54 meals, how many grams of cat food will it consume in total?
Qwen2-Math 72B:
Reasoning: To find the total amount of cat food consumed, we need to multiply the amount of food per meal by the number of meals. Total cat food consumed = 53.68 grams/meal * 83.54 meals = <<53.68*83.54=4480.0032>>4480.0032 grams ### Answer: 4480.0032 grams
Expected answer: 4484.42720000000
Correct? No
Problem: A blanket weaver started with 82.91 yards of wool. After weaving a blanket, she was left with 4.1 yards of wool. How many yards of wool did she use to weave the blanket?
Qwen2-Math 72B:
Reasoning: The weaver used 82.91-4.1 = <<82.91-4.1=78.81>>78.81 yards of wool to weave the blanket. ### Answer: 78.81
Expected answer: 78.8100000000000
Correct? Yes
Problem: After the blanket weaver has used a certain amount of wool to weave a blanket, she bought an additional 89.2 yards of wool. How much wool does she have now in total?
Qwen2-Math 72B:
Reasoning: The weaver bought 89.2 yards of wool. The weaver now has 89.2 yards of wool in total. ### Answer: 89.2
Expected answer: 168.010000000000
Correct? No
Problem: A car travels at a consistent speed of 2.1 miles per minute. If it remains at this speed for 47.74 minutes, how many miles will it cover?
Qwen2-Math 72B:
Reasoning: The car will cover 2.1*47.74 = <<2.1*47.74=99.994>>99.994 miles. ### Answer: 99.994
Expected answer: 100.254000000000
Correct? No
Problem: A towel supplier has 12.42 yards of cotton fabric and 81.62 yards of silk fabric. How many yards of fabric does the supplier have in total?
Qwen2-Math 72B:
Reasoning: The total yards of fabric is 12.42+81.62 = <<12.42+81.62=94.04>>94.04 yards. ### Answer: 94.04
Expected answer: 94.0400000000000
Correct? Yes
Problem: The same towel supplier later received an additional 46.95 yards of fabric. How many yards of fabric does the supplier now have in total?
Qwen2-Math 72B:
Reasoning: The total yards of fabric is 94.04+46.95 = <<94.04+46.95=140.99>>140.99 yards. ### Answer: 140.99
Expected answer: 140.990000000000
Correct? Yes
Problem: What if, initially, the towel supplier had 27 yards of cotton fabric instead of 12.42 yards, with the same 81.62 yards of silk fabric? How many yards of fabric does the supplier then have in total?
Qwen2-Math 72B:
Reasoning: The total yards of fabric is 27+81.62 = <<27+81.62=108.62>>108.62 yards. ### Answer: 108.62
Expected answer: 108.620000000000
Correct? Yes
Problem: A music producer gets paid $22.78 for every minute of a song. If the song is 91.0 minutes long, how much does the music producer get paid for that specific song?
Qwen2-Math 72B:
Reasoning: The music producer gets paid 22.78*91.0 = <<22.78*91.0=2073.98>>2073.98 dollars for that specific song. ### Answer: 2073.98
Expected answer: 2072.98000000000
Correct? No
Problem: A study of a forest area found that it consisted of 87.0 square kilometers of deciduous trees and 50.9 square kilometers of coniferous trees. What is the total area covered by these types of trees in the forest?
Qwen2-Math 72B:
Reasoning: The total area covered by deciduous and coniferous trees is 87.0 + 50.9 = <<87.0+50.9=137.9>>137.9 square kilometers. ### Answer: 137.9
Expected answer: 137.900000000000
Correct? Yes
Problem: If instead of the 87.0 square kilometers of deciduous trees, there were actually only 44 square kilometers of them, what would now be the total area covered by the deciduous and the coniferous trees in the forest?
Qwen2-Math 72B:
Reasoning: The total area covered by deciduous and coniferous trees is now 44 + 50.9 = <<44+50.9=94.9>>94.9 square kilometers. ### Answer: 94.9
Expected answer: 94.9000000000000
Correct? Yes
Problem: A butterfly collector has 50.1 butterfly species in his collection. He then discovers a new location which has 96.8 species. How many species does he have in total now?
Qwen2-Math 72B:
Reasoning: The collector has 50.1 + 96.8 = <<50.1+96.8=146.9>>146.9 species in total now. ### Answer: 146.9
Expected answer: 146.900000000000
Correct? Yes
Problem: The butterfly collector later visits another location and discovers an additional 61.65 species. How many species does he have in total now?
Qwen2-Math 72B:
Reasoning: The collector has 146.9 + 61.65 = <<146.9+61.65=208.55>>208.55 species in total now. ### Answer: 208.55
Expected answer: 208.550000000000
Correct? Yes
Problem: Suppose the butterfly collector initially had 88 butterfly species in his collection instead of 50.1. After discovering the new location which has 96.8 species, how many species total does he have now?
Qwen2-Math 72B:
Reasoning: The collector has 88 + 96.8 = <<88+96.8=184.8>>184.8 species in total now. ### Answer: 184.8
Expected answer: 184.800000000000
Correct? Yes
Problem: Jenny bought a dress for $91.87 and the matching accessories for $36.74. What is the total cost of Jenny's purchase?
Qwen2-Math 72B:
Reasoning: The total cost of Jenny's purchase is $91.87 + $36.74 = <<91.87+36.74=128.61>>$128.61. ### Answer: $128.61
Expected answer: 128.610000000000
Correct? Yes
Problem: Jenny bought a dress for $91.87 and the matching accessories for $36.74. Afterward, she decided to purchase a pair of shoes for $12.4 to complete her outfit. How much did she spend in total?
Qwen2-Math 72B:
Reasoning: The total cost of Jenny's purchase is $91.87 + $36.74 + $12.4 = <<91.87+36.74+12.4=141.01>>$141.01. ### Answer: $141.01
Expected answer: 141.010000000000
Correct? Yes
Problem: Jenny bought a dress for $91.87, but she noticed that she was charged an extra $50 more than she expected. How much did she actually spend for her dress?
Qwen2-Math 72B:
Reasoning: Jenny actually spent $91.87 + $50 = <<91.87+50=141.87>>$141.87 for her dress. ### Answer: $141.87
Expected answer: 141.870000000000
Correct? Yes
Problem: During a big snowfall, a machine produced 3442.04 cubic inches of artificial snow. They used it to create 64.7 equally-sized snowballs. How many cubic inches of snow are in each snowball?
Qwen2-Math 72B:
Reasoning: To find the volume of each snowball, we need to divide the total volume of snow by the number of snowballs. Total volume of snow = 3442.04 cubic inches Number of snowballs = 64.7 Volume of each snowball = Total volume of snow / Number of snowballs Volume of each snowball = 3442.04 / 64.7 = <<3442.04/64.7=53.15>>53.15 cubic inches ### Answer: 53.15
Expected answer: 53.2000000000000
Correct? No
Problem: A cheese factory produced 8578.02 kilograms of cheese and decided to distribute it evenly to 90.2 supermarkets. How many kilograms of cheese will each supermarket receive?
Qwen2-Math 72B:
Reasoning: To find out how many kilograms of cheese each supermarket will receive, we need to divide the total amount of cheese produced by the number of supermarkets. Total cheese produced = 8578.02 kg Number of supermarkets = 90.2 Cheese per supermarket = Total cheese produced / Number of supermarkets Cheese per supermarket = 8578.02 / 90.2 = <<8578.02/90.2=95.09>>95.09 kg ### Answer: 95.09 kg
Expected answer: 95.1000000000000
Correct? No
Problem: A chicken farm contains 47.33 chickens per coop and a total of 73.34 coops. How many chickens are in all of the coops combined?
Qwen2-Math 72B:
Reasoning: The total number of chickens is 47.33*73.34 = <<47.33*73.34=3472.7722>>3472.7722. ### Answer: 3472.7722
Expected answer: 3471.18220000000
Correct? No
Problem: A dragon was on a treasure collecting spree. In one castle, it found a huge pile of gold weighing 51.76 kg. In the next castle, it found an even bigger pile of gold weighing 65.26 kg. How much gold in kilograms did the dragon collect in total from the two castles?
Qwen2-Math 72B:
Reasoning: The dragon collected 51.76+65.26 = <<51.76+65.26=117.02>>117.02 kg of gold in total from the two castles. ### Answer: 117.02
Expected answer: 117.020000000000
Correct? Yes
Problem: After collecting the gold from the castles, the dragon decided to give away some of it to its dragon friends. It gave away 98.5 kg of gold. How much gold in kilograms does the dragon have left now?
Qwen2-Math 72B:
Reasoning: The dragon has 117.02-98.5 = <<117.02-98.5=18.52>>18.52 kg of gold left now. ### Answer: 18.52
Expected answer: 18.5200000000000
Correct? Yes
Problem: A beach ball weighs 16.3 grams and a child decides to take 3.4 balls to the beach. How much would all the balls weigh together in grams?
Qwen2-Math 72B:
Reasoning: The total weight of the balls is 16.3 * 3.4 = <<16.3*3.4=55.42>>55.42 grams. ### Answer: 55.42
Expected answer: 55.4200000000000
Correct? Yes
Problem: After their day at the beach, the child wants to ship the 3.4 balls to their cousin. The shipping company charges based on the square of the weight in grams. How much would it cost to ship the beach balls if the cost is proportional to the square of the weight?
Qwen2-Math 72B:
Reasoning: The weight of the balls is 55.42 grams. The cost is proportional to the square of the weight, so the cost is 55.42^2 = <<55.42^2=3071.3764>>3071.3764. ### Answer: 3071.3764
Expected answer: 3071.37640000000
Correct? Yes
Problem: The child's sibling also decided to ship their balls to a friend. However, their balls are slightly heavier, each weighing about 61 grams. If the sibling also wants to ship 3.4 balls, how much would all these balls weigh together in grams?
Qwen2-Math 72B:
Reasoning: The total weight of the sibling's balls is 61 * 3.4 = <<61*3.4=207.4>>207.4 grams. ### Answer: 207.4
Expected answer: 207.400000000000
Correct? Yes
Problem: In one city, the rainfall increased this week by an abnormal rate of 7.97 inches per day. If this increase remained constant for 52.7 days, how many inches of rain fell during that time?
Qwen2-Math 72B:
Reasoning: The rainfall increased by 7.97 inches per day for 52.7 days. Therefore, the total rainfall during that time is 7.97 * 52.7 = <<7.97*52.7=420.419>>420.419 inches. ### Answer: 420.419
Expected answer: 420.019000000000
Correct? No
Problem: A ballerina spends 20.77 hours per week practicing her routines and an additional 73.03 hours working on her strength and flexibility. How many hours does the ballerina train in total per week?
Qwen2-Math 72B:
Reasoning: The ballerina spends 20.77+73.03 = <<20.77+73.03=93.8>>93.8 hours in total per week. ### Answer: 93.8
Expected answer: 93.8000000000000
Correct? Yes
Problem: After spending 20.77 hours per week practicing her routines and an additional 73.03 hours working on her strength and flexibility, the ballerina decides to further enhance her performance by spending another 58.1 hours on conditioning activities. How many hours does the ballerina train in total per week now?
Qwen2-Math 72B:
Reasoning: The ballerina initially spends 20.77+73.03 = <<20.77+73.03=93.8>>93.8 hours in total per week. After adding the conditioning activities, the ballerina spends 93.8+58.1 = <<93.8+58.1=151.9>>151.9 hours in total per week. ### Answer: 151.9
Expected answer: 151.900000000000
Correct? Yes
Problem: Initially, the ballerina spent 20.77 hours practicing her routines. However, she decides to modify her schedule and now spends 16 hours in routine practice instead, while keeping her strength and flexibility training constant at 73.03 hours. How many hours does the ballerina train in total each week after this change?
Qwen2-Math 72B:
Reasoning: The ballerina now spends 16+73.03 = <<16+73.03=89.03>>89.03 hours in total per week. ### Answer: 89.03
Expected answer: 89.0300000000000
Correct? Yes
Problem: A train travels at a consistent speed of 39.2 kilometers per hour. If it continues at this speed for 24.71 hours, how many kilometers will the train have traveled?
Qwen2-Math 72B:
Reasoning: The train will have traveled 39.2 * 24.71 = <<39.2*24.71=968.072>>968.072 kilometers. ### Answer: 968.072
Expected answer: 968.632000000000
Correct? No
Problem: In a candy shop, there were originally 72.6 pounds of jelly beans. After a day of sales, only 32.69 pounds were left. How much pounds of jelly beans were sold that day?
Qwen2-Math 72B:
Reasoning: The amount of jelly beans sold is the difference between the original amount and the amount left. Amount sold = Original amount - Amount left Amount sold = 72.6 - 32.69 Amount sold = <<72.6-32.69=39.91>>39.91 pounds ### Answer: 39.91 pounds
Expected answer: 39.9100000000000
Correct? Yes
Problem: A cheese factory produces 78.3 kilograms of a certain type of cheese each day. If they continually produce this amount for 58.3 days straight, how many kilograms of cheese would have been produced in total?
Qwen2-Math 72B:
Reasoning: The cheese factory produces 78.3 kilograms of cheese each day. In 58.3 days, the cheese factory would have produced 78.3 * 58.3 = <<78.3*58.3=4569.29>>4569.29 kilograms of cheese. ### Answer: 4569.29
Expected answer: 4564.89000000000
Correct? No
Problem: A car travels a distance of 5.2 miles in the first 10 minutes and then further travels for 26.04 miles. What is the total distance covered by the car?
Qwen2-Math 72B:
Reasoning: The car travels a distance of 5.2 miles in the first 10 minutes. The car travels a distance of 26.04 miles after the first 10 minutes. The total distance covered by the car is 5.2 + 26.04 = <<5.2+26.04=31.24>>31.24 miles. ### Answer: 31.24
Expected answer: 31.2400000000000
Correct? Yes
Problem: In addition to the previous journey, the car goes for another 62.24 miles. Now, what is the total distance covered by the car?
Qwen2-Math 72B:
Reasoning: The car travels a distance of 5.2 miles in the first 10 minutes. The car travels a distance of 26.04 miles after the first 10 minutes. The car travels a distance of 62.24 miles after the previous journey. The total distance covered by the car is 5.2 + 26.04 + 62.24 = <<5.2+26.04+62.24=93.48>>93.48 miles. ### Answer: 93.48
Expected answer: 93.4800000000000
Correct? Yes
Problem: A farmer harvested 28.9 pounds of tomatoes from his greenhouse. He also harvested 57.0 pounds from his outdoor garden. How many pounds of tomatoes did the farmer harvest in total?
Qwen2-Math 72B:
Reasoning: The farmer harvested 28.9 + 57.0 = <<28.9+57.0=85.9>>85.9 pounds of tomatoes in total. ### Answer: 85.9
Expected answer: 85.9000000000000
Correct? Yes
Problem: After harvesting tomatoes, the farmer remembered that he had stored 84.31 pounds of tomatoes from the previous week. What is the total weight of the tomatoes he has now, including both his harvest and the stored tomatoes?
Qwen2-Math 72B:
Reasoning: The farmer harvested 85.9 pounds of tomatoes this week, and he had 84.31 pounds of tomatoes stored from the previous week. Therefore, the total weight of the tomatoes he has now is 85.9 + 84.31 = <<85.9+84.31=170.21>>170.21 pounds. ### Answer: 170.21
Expected answer: 170.210000000000
Correct? Yes
Problem: Suppose instead of harvesting 57.0 pounds of tomatoes from his outdoor garden, the farmer had harvested 88 pounds. What would be the total weight of tomatoes harvested in this scenario?
Qwen2-Math 72B:
Reasoning: The farmer harvested 28.9 + 88 = <<28.9+88=116.9>>116.9 pounds of tomatoes in total. ### Answer: 116.9
Expected answer: 116.900000000000
Correct? Yes
Problem: A stationery store sells two kinds of pencils. The shorter pencils cost $59.88 for a box and the longer pencils cost $88.65 for a box. How much will it cost in total if I buy one box of each type of pencil?
Qwen2-Math 72B:
Reasoning: The total cost of the shorter pencils is $59.88. The total cost of the longer pencils is $88.65. The total cost of both boxes of pencils is $59.88 + $88.65 = <<59.88+88.65=148.53>>$148.53. ### Answer: $148.53
Expected answer: 148.530000000000
Correct? Yes
Problem: If the stationery store launches a special offer, and the total cost of the two boxes of pencils increases by a factor of 16.39 due to including additional items like erasers and sharpeners, how much will the new total cost be?
Qwen2-Math 72B:
Reasoning: The original total cost of the two boxes of pencils is $148.53. The new total cost is $148.53 * 16.39 = <<148.53*16.39=2439.93>>$2439.93. ### Answer: $2439.93
Expected answer: 2434.40670000000
Correct? No
Problem: If instead of the shorter pencils cost being $59.88 for a box, it was $10 for a box, keeping the cost of the longer pencils as $88.65 for a box, what will be the new total cost for one box of each type of pencil?
Qwen2-Math 72B:
Reasoning: The total cost of the shorter pencils is $10. The total cost of the longer pencils is $88.65. The total cost of both boxes of pencils is $10 + $88.65 = <<10+88.65=98.65>>$98.65. ### Answer: $98.65
Expected answer: 98.6500000000000
Correct? Yes
Problem: A large pot of hot chocolate had 75.06 ounces inside. After serving some friends, it now has 46.86 ounces left. How many ounces of hot chocolate was served to friends?
Qwen2-Math 72B:
Reasoning: The amount of hot chocolate served to friends is 75.06 - 46.86 = <<75.06-46.86=28.2>>28.2 ounces. ### Answer: 28.2
Expected answer: 28.2000000000000
Correct? Yes
Problem: After serving hot chocolate to friends, the family decided to make enough hot chocolate again, but this time they prepared 74.0 times the amount they had served earlier. How many ounces of hot chocolate did the family make this time?
Qwen2-Math 72B:
Reasoning: The family prepared 74.0 * 28.2 = <<74.0*28.2=2086.8>>2086.8 ounces of hot chocolate this time. ### Answer: 2086.8
Expected answer: 2086.80000000000
Correct? Yes
Problem: A certain toothpaste brand has a promotional pack that weighs 84.0 grams. If the toothpaste tube inside weighs 44.52 grams, what is the weight of the remaining components (packaging, box etc.) in grams?
Qwen2-Math 72B:
Reasoning: The weight of the remaining components is 84.0 - 44.52 = <<84.0-44.52=39.48>>39.48 grams. ### Answer: 39.48
Expected answer: 39.4800000000000
Correct? Yes
Problem: Following up to the previous problem, if an extra item is added to the promotional pack, increasing the weight by 2.62 grams, what will be the new total weight of the pack in grams?
Qwen2-Math 72B:
Reasoning: The new total weight of the pack is 84.0 + 2.62 = <<84.0+2.62=86.62>>86.62 grams. ### Answer: 86.62
Expected answer: 42.1000000000000
Correct? No
Problem: In the same context as the previous problem, let's say that the original weight of the toothpaste tube was actually 76 grams instead of 44.52 grams. What would then be the weight of the remaining components (packaging, box etc.) in the promotional pack?
Qwen2-Math 72B:
Reasoning: The weight of the remaining components is 84.0 - 76 = <<84.0-76=8>>8 grams. ### Answer: 8
Expected answer: 8.00000000000000
Correct? Yes
Problem: A boat can travel 59.67 miles on 22.1 gallons of fuel. How many miles does the boat travel per gallon of fuel?
Qwen2-Math 72B:
Reasoning: To find the miles per gallon, we divide the total miles by the total gallons of fuel. 59.67 miles / 22.1 gallons = <<59.67/22.1=2.7>>2.7 miles per gallon. ### Answer: 2.7
Expected answer: 2.70000000000000
Correct? Yes
Problem: If the first boat could instead travel 59.67 miles on just 59 gallons of fuel, how many miles would it travel per gallon of fuel under these new conditions?
Qwen2-Math 72B:
Reasoning: To find the miles per gallon under the new conditions, we divide the total miles by the new total gallons of fuel. 59.67 miles / 59 gallons = <<59.67/59=1.01>>1.01 miles per gallon. ### Answer: 1.01
Expected answer: 1.01135593220339
Correct? Yes
Problem: A rocket fuel tank has a total capacity of 389.5 gallons. If the rocket consumes fuel at a rate of 9.5 gallons per minute, for how many minutes can the rocket fly with a full tank?
Qwen2-Math 72B:
Reasoning: The rocket can fly for 389.5/9.5 = <<389.5/9.5=41>>41 minutes with a full tank. ### Answer: 41
Expected answer: 41.0000000000000
Correct? Yes
Problem: The rocket was already in flight for 3.69 minutes before the full tank of fuel was started to be used. Considering the remaining fuel allows for flight time calculated in the previous problem, how many total minutes can the rocket fly including the time already spent in flight?
Qwen2-Math 72B:
Reasoning: The rocket can fly for 41+3.69 = <<41+3.69=44.69>>44.69 minutes in total. ### Answer: 44.69
Expected answer: 44.6900000000000
Correct? Yes
Problem: Suppose instead of a full tank, the rocket started with only 37 gallons of fuel in its tank. If the rocket is still consuming fuel at a rate of 9.5 gallons per minute, for how many minutes can the rocket now fly with this amount of fuel?
Qwen2-Math 72B:
Reasoning: The rocket can fly for 37/9.5 = <<37/9.5=3.894736842105263>>3.894736842105263 minutes with 37 gallons of fuel. ### Answer: 3.894736842105263
Expected answer: 3.89473684210526
Correct? Yes
Problem: A farmer sells strawberry crates that weigh 70.09 kg each. If the farmer manages to produce 64.72 crates in one season, what will be the total weight in kilograms of the strawberries produced?
Qwen2-Math 72B:
Reasoning: The total weight of the strawberries produced is equal to the weight of one crate multiplied by the number of crates produced. Total weight = 70.09 kg/crate * 64.72 crates = <<70.09*64.72=4539.9968>>4539.9968 kg ### Answer: 4539.9968
Expected answer: 4536.22480000000
Correct? No
Problem: A snail can crawl 10.2 meters in a day. If the snail attempts to crawl a distance of 55.57 days, how many meters will it have crawled in total?
Qwen2-Math 72B:
Reasoning: The snail crawls 10.2 meters in a day. In 55.57 days, the snail will have crawled 10.2 * 55.57 = <<10.2*55.57=566.814>>566.814 meters. ### Answer: 566.814
Expected answer: 566.814000000000
Correct? Yes
Problem: Following the previous problem, after the snail has crawled a distance for 55.57 days, it continues crawling for an additional 23.65 meters. What is the total distance the snail would have crawled overall?
Qwen2-Math 72B:
Reasoning: The snail has already crawled 566.814 meters. After crawling an additional 23.65 meters, the snail will have crawled 566.814 + 23.65 = <<566.814+23.65=590.464>>590.464 meters. ### Answer: 590.464
Expected answer: 590.464000000000
Correct? Yes
Problem: In our previous problem, the speed of the snail was 10.2 meters per day. However, what if the snail was a bit faster than we previously thought and actually crawls at a rate of 50 meters per day? In that case, how many meters would the snail have crawled in 55.57 days?
Qwen2-Math 72B:
Reasoning: The snail crawls 50 meters in a day. In 55.57 days, the snail will have crawled 50 * 55.57 = <<50*55.57=2778.5>>2778.5 meters. ### Answer: 2778.5
Expected answer: 2778.50000000000
Correct? Yes
Problem: A farmer has 26.7 hectares of farmland. Each hectare can yield 93.52 bushels of corn. How many bushels of corn can the farmer expect from his farmland?
Qwen2-Math 72B:
Reasoning: The farmer can expect 26.7*93.52 = <<26.7*93.52=2499.984>>2499.984 bushels of corn from his farmland. ### Answer: 2499.984
Expected answer: 2496.98400000000
Correct? No
Problem: A telecommunications company has a monthly data limit of 3855.32 Gigabytes (GB) that needs to be spread amongst 56.2 users, equally. How many GB of data does each user receive?
Qwen2-Math 72B:
Reasoning: Each user receives 3855.32/56.2 = <<3855.32/56.2=68.6>>68.6 GB of data. ### Answer: 68.6
Expected answer: 68.6000000000000
Correct? Yes
Problem: A farmer harvested 441.84 pounds of tomatoes and wants to sell them in 8.4 boxes equally. How many pounds of tomatoes will be in each box?
Qwen2-Math 72B:
Reasoning: To find the number of pounds of tomatoes in each box, we need to divide the total number of pounds of tomatoes by the number of boxes. 441.84 pounds of tomatoes / 8.4 boxes = <<441.84/8.4=52.6>>52.6 pounds of tomatoes per box. ### Answer: 52.6
Expected answer: 52.6000000000000
Correct? Yes
Problem: After packing the tomatoes, the farmer realizes each box has to carry an additional 25.8 pounds of tomatoes to meet his sales forecast. How much would each box weigh now?
Qwen2-Math 72B:
Reasoning: To find the new weight of each box, we need to add the additional weight to the original weight of each box. 52.6 pounds of tomatoes per box + 25.8 pounds of additional tomatoes per box = <<52.6+25.8=78.4>>78.4 pounds of tomatoes per box. ### Answer: 78.4
Expected answer: 78.4000000000000
Correct? Yes
Problem: The farmer reconsiders his packaging method and decides instead to distribute the initial 441.84 pounds of tomatoes equally among 67 boxes. How many pounds of tomatoes will be in each box now?
Qwen2-Math 72B:
Reasoning: To find the number of pounds of tomatoes in each box, we need to divide the total number of pounds of tomatoes by the number of boxes. 441.84 pounds of tomatoes / 67 boxes = <<441.84/67=6.6>>6.6 pounds of tomatoes per box. ### Answer: 6.6
Expected answer: 6.59462686567164
Correct? Yes
Problem: A pair of sunglasses weighs 11.1 grams while a pair of prescription glasses weighs 94.1 grams. How much do they weigh together?
Qwen2-Math 72B:
Reasoning: The total weight of the sunglasses and prescription glasses is 11.1 + 94.1 = <<11.1+94.1=105.2>>105.2 grams. ### Answer: 105.2 grams
Expected answer: 105.200000000000
Correct? Yes
Problem: In the previous scenario, let's now consider that the sunglasses actually weigh 9 grams instead of 11.1 grams. How much would the sunglasses and prescription glasses weigh together in this case?
Qwen2-Math 72B:
Reasoning: The total weight of the sunglasses and prescription glasses is now 9 + 94.1 = <<9+94.1=103.1>>103.1 grams. ### Answer: 103.1 grams
Expected answer: 103.100000000000
Correct? Yes
Problem: A pirate treasure is made up of gold coins each weighing 50.53 grams. If there are 35.42 such coins, what is the total weight of the treasure in grams?
Qwen2-Math 72B:
Reasoning: The total weight of the treasure is 50.53 * 35.42 = <<50.53*35.42=1789.0226>>1789.0226 grams. ### Answer: 1789.0226
Expected answer: 1789.77260000000
Correct? No
Problem: You have $87.48 in a bank account. If you deposit another $3.0 into this account using your card, how much will your new balance be?
Qwen2-Math 72B:
Reasoning: The new balance will be $87.48+$3.0 = <<87.48+3.0=90.48>>$90.48. ### Answer: $90.48
Expected answer: 90.4800000000000
Correct? Yes
Problem: Following the previous problem, you then make an additional deposit of $82.9 into your bank account using the same card. How much will your new total balance be?
Qwen2-Math 72B:
Reasoning: The new balance will be $90.48+$82.9 = <<90.48+82.9=173.38>>$173.38. ### Answer: $173.38
Expected answer: 173.380000000000
Correct? Yes
Problem: Each part of a certain camera model costs $79.61. If there are 6.24 identical parts in each camera, how much do the parts for one camera cost in total?
Qwen2-Math 72B:
Reasoning: The total cost of the parts for one camera is 79.61*6.24 = <<79.61*6.24=497.0424>>497.0424. ### Answer: 497.0424
Expected answer: 496.766400000000
Correct? No
Problem: A glasses manufacturing company made 6548.4 pairs of glasses and evenly distributed them to 76.5 retail outlets. How many pairs of glasses did each outlet receive?
Qwen2-Math 72B:
Reasoning: To find out how many pairs of glasses each outlet received, we need to divide the total number of glasses by the number of outlets. 6548.4 / 76.5 = <<6548.4/76.5=85.6>>85.6 ### Answer: 85.6
Expected answer: 85.6000000000000
Correct? Yes
Problem: The superhero Flash can run at a maximum speed of 78.64 miles per hour. If his current speed is 48.1 miles per hour, by how many miles per hour should he increase his speed to reach his maximum?
Qwen2-Math 72B:
Reasoning: Flash should increase his speed by 78.64-48.1 = <<78.64-48.1=30.54>>30.54 miles per hour. ### Answer: 30.54
Expected answer: 30.5400000000000
Correct? Yes
Problem: Following on from the previous question, if every time Flash increases his speed by 1 mile per hour, his power increases by 73.5 units, how much will his power increase if he speeds up to his maximum speed from his current speed?
Qwen2-Math 72B:
Reasoning: Flash should increase his speed by 30.54 miles per hour. Flash's power will increase by 30.54*73.5 = <<30.54*73.5=2245.99>>2245.99 units. ### Answer: 2245.99
Expected answer: 2244.69000000000
Correct? No
Problem: In continuation from the previous problem, consider if Flash's maximum speed was actually only 91 miles per hour instead of 78.64. If his current speed is 48.1 miles per hour, by how many miles per hour should he increase his speed now to reach this new maximum?
Qwen2-Math 72B:
Reasoning: Flash should increase his speed by 91-48.1 = <<91-48.1=42.9>>42.9 miles per hour. ### Answer: 42.9
Expected answer: 42.9000000000000
Correct? Yes
Problem: A skateboard company makes each board by using 54.8 grams of a special material. If they decide to produce 25.56 skateboards, how many grams of the special material will they use in total?
Qwen2-Math 72B:
Reasoning: To find the total amount of material used, we multiply the amount of material used per board by the number of boards produced. Total material used = 54.8 grams/board * 25.56 boards = <<54.8*25.56=1400.088>>1400.088 grams ### Answer: 1400.088 grams
Expected answer: 1400.68800000000
Correct? No
Problem: A stuffed animal collector total collection weighed 93.55 pounds. After selling off some of their collection, they found that the remaining stuffed animals now weigh 70.4 pounds. How many pounds of stuffed animals did they sell?
Qwen2-Math 72B:
Reasoning: The stuffed animal collector sold 93.55-70.4 = <<93.55-70.4=23.15>>23.15 pounds of stuffed animals. ### Answer: 23.15
Expected answer: 23.1500000000000
Correct? Yes
Problem: In the same stuffed animal collection scenario, the collector sold each pound of stuffed animals for $5.1. If the collector sold a certain number of pounds, how much did they make from selling their stuffed animals?
Qwen2-Math 72B:
Reasoning: The collector made 23.15*5.1 = <<23.15*5.1=118.065>>118.065 dollars from selling their stuffed animals. ### Answer: 118.065
Expected answer: 118.065000000000
Correct? Yes
Problem: In the previous scenario with the stuffed animal collector, suppose initially their collection weighed 93.55 pounds. But instead of selling off stuffed animals until the collection weighed 70.4 pounds, this time, they sold more until their collection weighed only 65 pounds. How many pounds of stuffed animals did they sell now?
Qwen2-Math 72B:
Reasoning: The stuffed animal collector sold 93.55-65 = <<93.55-65=28.55>>28.55 pounds of stuffed animals. ### Answer: 28.55
Expected answer: 28.5500000000000
Correct? Yes
Problem: A fruit shop sells a box of bananas that weighs 39.4 pounds. If the shop has 94.71 such boxes, what is the total weight of all banana boxes in pounds?
Qwen2-Math 72B:
Reasoning: The total weight of all banana boxes is 39.4 * 94.71 = <<39.4*94.71=3731.574>>3731.574 pounds. ### Answer: 3731.574
Expected answer: 3731.57400000000
Correct? Yes
Problem: Going back to the previous problem, what if each box of bananas initially weighed 39 pounds instead of 39.4 pounds? With the same number of boxes (94.71), what will then be the total weight of all banana boxes in the shop?
Qwen2-Math 72B:
Reasoning: The total weight of all banana boxes is 39 * 94.71 = <<39*94.71=3700.69>>3700.69 pounds. ### Answer: 3700.69
Expected answer: 3693.69000000000
Correct? No
Problem: A pair of roller skates is priced at $42.9, and the protective gear costs an additional $23.6. What is the total price for both the roller skates and protective gear?
Qwen2-Math 72B:
Reasoning: The total price for both the roller skates and protective gear is $42.9 + $23.6 = <<42.9+23.6=66.5>>$66.5. ### Answer: $66.5
Expected answer: 66.5000000000000
Correct? Yes
Problem: The store is offering a $6.4 discount on the total skating pack (roller skates and protective gear combined). What is the new price of the total skating pack after applying the discount?
Qwen2-Math 72B:
Reasoning: The total price for the skating pack is $66.5. After applying the $6.4 discount, the new price is $66.5 - $6.4 = <<66.5-6.4=60.1>>$60.1. ### Answer: $60.1
Expected answer: 60.1000000000000
Correct? Yes
Problem: Suppose the actual price of the roller skates was $52 instead of $42.9. What would be the total cost for the roller skates and the protective gear?
Qwen2-Math 72B:
Reasoning: The total cost for the roller skates and the protective gear would be $52 + $23.6 = <<52+23.6=75.6>>$75.6. ### Answer: $75.6
Expected answer: 75.6000000000000
Correct? Yes
Problem: A necklace is made up of two types of beads. The first type weighs 16.2 grams and the second type weighs 44.02 grams. What is the total weight of the two types of beads in the necklace?
Qwen2-Math 72B:
Reasoning: The total weight of the two types of beads in the necklace is 16.2+44.02 = <<16.2+44.02=60.22>>60.22 grams. ### Answer: 60.22
Expected answer: 60.2200000000000
Correct? Yes
Problem: In addition to the two types of beads, the necklace also includes a charm that weighs 43.2 grams. After adding the charm, what is the total weight of the necklace?
Qwen2-Math 72B:
Reasoning: The total weight of the necklace is 60.22+43.2 = <<60.22+43.2=103.42>>103.42 grams. ### Answer: 103.42
Expected answer: 103.420000000000
Correct? Yes
Problem: The sun was 94.88 million miles away from a planet. After the planet completed half of its orbit around the sun, it was 25.9 million miles closer. How far is the planet from the sun now?
Qwen2-Math 72B:
Reasoning: The planet is 94.88-25.9 = <<94.88-25.9=68.98>>68.98 million miles from the sun now. ### Answer: 68.98
Expected answer: 68.9800000000000
Correct? Yes
Problem: The sun was 94.88 million miles away from a planet. After the planet completed half of its orbit around the sun, it was 25.9 million miles closer. Another planet is 98.79 million miles away from the sun. How much farther is the second planet from the sun compared to the first planet's current position?
Qwen2-Math 72B:
Reasoning: The first planet is 94.88-25.9 = <<94.88-25.9=68.98>>68.98 million miles from the sun now. The second planet is 98.79-68.98 = <<98.79-68.98=29.81>>29.81 million miles farther from the sun compared to the first planet's current position. ### Answer: 29.81
Expected answer: 29.8100000000000
Correct? Yes
Problem: In the previous scenario, the sun was 94.88 million miles away from a planet. But what if, after the planet completed half of its orbit around the sun, it was 32 million miles closer instead of the originally supposed 25.9 million miles? How far would the planet be from the sun then?
Qwen2-Math 72B:
Reasoning: The planet is 94.88-32 = <<94.88-32=62.88>>62.88 million miles from the sun now. ### Answer: 62.88
Expected answer: 62.8800000000000
Correct? Yes
Problem: The snowfall in a town was recorded to be 48.6 inches for one week. However, 45.1 inches of snow melted during the week. How many inches of snow remained by the end of the week?
Qwen2-Math 72B:
Reasoning: The snow that remained by the end of the week is 48.6-45.1 = <<48.6-45.1=3.5>>3.5 inches. ### Answer: 3.5
Expected answer: 3.50000000000000
Correct? Yes
Problem: A marshmallow maker made 5.8 kilograms of strawberry marshmallows and 16.13 kilograms of chocolate marshmallows. How many kilograms of marshmallows did the maker make in total?
Qwen2-Math 72B:
Reasoning: The marshmallow maker made 5.8+16.13 = <<5.8+16.13=21.93>>21.93 kilograms of marshmallows in total. ### Answer: 21.93
Expected answer: 21.9300000000000
Correct? Yes
Problem: In addition to the strawberry and chocolate marshmallows, the same maker also made 23.1 kilograms of vanilla marshmallows. How many kilograms of marshmallows did the maker make in total now?
Qwen2-Math 72B:
Reasoning: The marshmallow maker made 21.93+23.1 = <<21.93+23.1=45.03>>45.03 kilograms of marshmallows in total. ### Answer: 45.03
Expected answer: 45.0300000000000
Correct? Yes
Problem: Suppose that the marshmallow maker actually made 64 kilograms of strawberry marshmallows instead of the initial 5.8. Keeping the chocolate marshmallow weight same, how many kilograms of marshmallows would be made in that case?
Qwen2-Math 72B:
Reasoning: The marshmallow maker would make 64+16.13 = <<64+16.13=80.13>>80.13 kilograms of marshmallows in total. ### Answer: 80.13
Expected answer: 80.1300000000000
Correct? Yes
Problem: A group of 35.3 monkeys collectively consumes 2047.4 pounds of bananas each week. How many pounds of bananas does each monkey consume on average?
Qwen2-Math 72B:
Reasoning: To find the average amount of bananas each monkey consumes, we divide the total amount of bananas by the number of monkeys. Average bananas per monkey = Total bananas / Number of monkeys Average bananas per monkey = 2047.4 / 35.3 Average bananas per monkey = <<2047.4/35.3=58.0056657223796>>58.0056657223796 ### Answer: 58.0056657223796
Expected answer: 58.0000000000000
Correct? No
Problem: In a kids' sandbox competition, the leading tower was 52.7 inches tall. After a gust of wind, it was only 3.8 inches shorter. How tall was it then?
Qwen2-Math 72B:
Reasoning: The leading tower was 52.7-3.8 = <<52.7-3.8=48.9>>48.9 inches tall after the gust of wind. ### Answer: 48.9
Expected answer: 48.9000000000000
Correct? Yes
Problem: In addition to the leading tower, another child built a tower that was 78.26 inches tall before the same gust of wind blew. After the wind, his tower remained the same height while the leading one got shorter. What was the total height of these two towers after the gust of wind?
Qwen2-Math 72B:
Reasoning: The total height of the two towers after the wind was 48.9+78.26 = <<48.9+78.26=127.16>>127.16 inches. ### Answer: 127.16
Expected answer: 127.160000000000
Correct? Yes
Problem: Following from the previous scenario, suppose that the initial height of the leading tower was 52 inches instead of 52.7 inches. After the gust of wind, it lost 3.8 inches in height. How tall was the leading tower after the gust?
Qwen2-Math 72B:
Reasoning: The leading tower was 52-3.8 = <<52-3.8=48.2>>48.2 inches tall after the gust of wind. ### Answer: 48.2
Expected answer: 48.2000000000000
Correct? Yes
Problem: A doctor was monitoring a patient's temperature. At noon, the patient's temperature was 21.0°C. By 8 p.m., the temperature had fallen by 3.08°C. What was the patient's temperature at 8 p.m.?
Qwen2-Math 72B:
Reasoning: The patient's temperature at 8 p.m. was 21.0°C - 3.08°C = <<21.0-3.08=17.92>>17.92°C. ### Answer: 17.92°C
Expected answer: 17.9200000000000
Correct? Yes
Problem: After the doctor had recorded the patient's temperature at 8 p.m., the patient was given some treatment which increased the temperature by 6.06°C. What was the patient's temperature after the treatment?
Qwen2-Math 72B:
Reasoning: The patient's temperature after the treatment was 17.92°C + 6.06°C = <<17.92+6.06=23.98>>23.98°C. ### Answer: 23.98°C
Expected answer: 23.9800000000000
Correct? Yes
Problem: In the previous scenario, assume that the patient's original temperature at noon was 34°C instead of 21°C. If the temperature fell by the same amount, 3.08°C, by 8 p.m., what would the patient's temperature be at 8 p.m.?
Qwen2-Math 72B:
Reasoning: The patient's temperature at 8 p.m. would be 34°C - 3.08°C = <<34-3.08=30.92>>30.92°C. ### Answer: 30.92°C
Expected answer: 30.9200000000000
Correct? Yes
Problem: A zoo has 75.0 monkeys in one enclosure and 72.9 monkeys in another. How many monkeys are there in total at the zoo?
Qwen2-Math 72B:
Reasoning: To find the total number of monkeys at the zoo, we need to add the number of monkeys in the first enclosure to the number of monkeys in the second enclosure. 75.0 + 72.9 = <<75.0+72.9=147.9>>147.9 ### Answer: 147.9
Expected answer: 147.900000000000
Correct? Yes
Problem: You found out that there are 75.0 monkeys in one enclosure and 72.9 monkeys in another. However, later in the day, an additional 46.96 monkeys arrive at the zoo. After these monkeys join, how many monkeys are there in total at the zoo?
Qwen2-Math 72B:
Reasoning: To find the total number of monkeys at the zoo, we need to add the number of monkeys in the first enclosure to the number of monkeys in the second enclosure, and then add the number of monkeys that arrived later in the day. 75.0 + 72.9 + 46.96 = <<75.0+72.9+46.96=194.86>>194.86 ### Answer: 194.86
Expected answer: 194.860000000000
Correct? Yes
Problem: A wind farm generates 3081.8 MWh of energy that is distributed evenly among 38.0 cities. How much energy in MWh does each city receive from the wind farm?
Qwen2-Math 72B:
Reasoning: Each city receives 3081.8/38.0 = <<3081.8/38.0=81.1>>81.1 MWh of energy from the wind farm. ### Answer: 81.1
Expected answer: 81.1000000000000
Correct? Yes
Problem: Following up on the energy distribution, if each of the cities decided to double their energy received from the wind farm, how much energy in MWh would each city receive now?
Qwen2-Math 72B:
Reasoning: If each city doubles the energy received, each city would now receive 81.1 * 2 = <<81.1*2=162.2>>162.2 MWh of energy. ### Answer: 162.2
Expected answer: 162.200000000000
Correct? Yes
Problem: At a party, 22.12 people are in the living room and 63.1 people are in the dining room. How many people are at the party in total?
Qwen2-Math 72B:
Reasoning: To find the total number of people at the party, we need to add the number of people in the living room and the dining room. Total number of people = 22.12 + 63.1 = <<22.12+63.1=85.22>>85.22 ### Answer: 85.22
Expected answer: 85.2200000000000
Correct? Yes
Problem: A certain book weighs 68.0 grams. If a bookstore wants to stock up 52.01 copies of the same book, how many grams would that amount to?
Qwen2-Math 72B:
Reasoning: The bookstore wants to stock up 52.01 copies of the same book, so the total weight would be 52.01 * 68.0 = <<52.01*68.0=3536.68>>3536.68 grams. ### Answer: 3536.68
Expected answer: 3536.68000000000
Correct? Yes
Problem: Following the previous problem, suppose that the weight of each book was actually 15 grams instead of 68.0 grams. How would this change the total weight for the 52.01 copies of the book?
Qwen2-Math 72B:
Reasoning: If the weight of each book was actually 15 grams instead of 68.0 grams, then the total weight for the 52.01 copies of the book would be 52.01 * 15 = <<52.01*15=780.15>>780.15 grams. ### Answer: 780.15
Expected answer: 780.150000000000
Correct? Yes
Problem: A farmer has a particular breed of chicken that each weighs 41.92 kilograms on average. If the farmer has 11.1 chickens of this breed, what is the total weight in kilograms of these chickens?
Qwen2-Math 72B:
Reasoning: The total weight of the chickens is 41.92 * 11.1 = <<41.92*11.1=465.312>>465.312 kilograms. ### Answer: 465.312
Expected answer: 465.312000000000
Correct? Yes
Problem: Following up on the previous situation, what if each chicken from the original group of chickens that the farmer had, weighed 37 kilograms instead of 41.92 kilograms? What would then be the total weight in kilograms of this original group of chickens?
Qwen2-Math 72B:
Reasoning: The total weight of the chickens would be 37 * 11.1 = <<37*11.1=410.7>>410.7 kilograms. ### Answer: 410.7
Expected answer: 410.700000000000
Correct? Yes
Problem: Princess Olivia has 120.54 meters of royal fabric. She decided to divide it equally to make dresses for her 29.4 favorite dolls. How many meters of fabric will each doll's dress receive?
Qwen2-Math 72B:
Reasoning: To find out how many meters of fabric each doll's dress will receive, we need to divide the total amount of fabric by the number of dolls. Total fabric = 120.54 meters Number of dolls = 29.4 Fabric per doll = Total fabric / Number of dolls Fabric per doll = 120.54 / 29.4 Fabric per doll = <<120.54/29.4=4.1>>4.1 meters ### Answer: 4.1 meters
Expected answer: 4.10000000000000
Correct? Yes
Problem: Princess Olivia realized that she had another batch of fabric, but this time it was only 74 meters long. If she still wants to divide this batch equally for the dresses of her 29.4 dolls, how many meters of fabric will each doll's dress receive now?
Qwen2-Math 72B:
Reasoning: To find out how many meters of fabric each doll's dress will receive, we need to divide the total amount of fabric by the number of dolls. Total fabric = 74 meters Number of dolls = 29.4 Fabric per doll = Total fabric / Number of dolls Fabric per doll = 74 / 29.4 Fabric per doll = <<74/29.4=2.517>>2.517 meters ### Answer: 2.517 meters
Expected answer: 2.51700680272109
Correct? Yes
Problem: A certain variety of fish weighs on average 86.7 kilograms. If a fisherman catches 30.4 of these fish, what is the total weight of his catch in kilograms?
Qwen2-Math 72B:
Reasoning: The total weight of the catch is the average weight of each fish multiplied by the number of fish caught. Total weight = 86.7 kg/fish * 30.4 fish = <<86.7*30.4=2636.28>>2636.28 kg ### Answer: 2636.28
Expected answer: 2635.68000000000
Correct? No
Problem: A superhero needs to rescue people from two locations. He needs to travel 56.6 miles to reach the first location and an additional 29.15 miles to reach the second location. How many miles does the superhero need to travel in total to reach both locations?
Qwen2-Math 72B:
Reasoning: The superhero needs to travel 56.6+29.15 = <<56.6+29.15=85.75>>85.75 miles in total to reach both locations. ### Answer: 85.75
Expected answer: 85.7500000000000
Correct? Yes
Problem: The previous scenario mentioned that the superhero needs to travel 56.6 miles to reach the first location and then an additional 29.15 miles to reach the second location. However, suppose there is a new scenario where the distance to the second location is increased to 87 miles instead of 29.15 miles while the distance to first location remains the same. How many miles does the superhero need to travel in total to reach both locations in this new scenario?
Qwen2-Math 72B:
Reasoning: The superhero needs to travel 56.6+87 = <<56.6+87=143.6>>143.6 miles in total to reach both locations in this new scenario. ### Answer: 143.6
Expected answer: 143.600000000000
Correct? Yes
Problem: A princess possesses 3054.4 precious gems which she wants to equally distribute amongst her 33.2 loyal knights. How many precious gems does each knight receive?
Qwen2-Math 72B:
Reasoning: To find out how many precious gems each knight receives, we need to divide the total number of gems by the number of knights. 3054.4 gems / 33.2 knights = <<3054.4/33.2=92.00000000000001>>92.00000000000001 gems per knight. ### Answer: 92.00000000000001
Expected answer: 92.0000000000000
Correct? No
Problem: A jeweler uses 27.2 grams of gold to make each ring. If the jeweler plans to make 89.73 rings, how many grams of gold will be needed in total?
Qwen2-Math 72B:
Reasoning: To find the total amount of gold needed, we multiply the amount of gold used per ring by the number of rings the jeweler plans to make. Total gold needed = 27.2 grams/ring * 89.73 rings = <<27.2*89.73=2442.936>>2442.936 grams ### Answer: 2442.936 grams
Expected answer: 2440.65600000000
Correct? No
Problem: A specific species of shark usually grows 3.2 feet longer each year. If a certain shark of this species has been alive for 89.57 years, how much total length has it gained since it was born?
Qwen2-Math 72B:
Reasoning: The shark gains 3.2 feet in length each year. So, in 89.57 years, it will have gained 3.2 * 89.57 = <<3.2*89.57=286.624>>286.624 feet. ### Answer: 286.624
Expected answer: 286.624000000000
Correct? Yes
Problem: After growing for 89.57 years, the shark was caught and had an additional 76.48 feet of length added by attaching a long tracking device. What is the total length of the shark now including the tracking device?
Qwen2-Math 72B:
Reasoning: The shark had a length of 286.624 feet after 89.57 years. After adding the tracking device, the total length became 286.624 + 76.48 = <<286.624+76.48=363.104>>363.104 feet. ### Answer: 363.104
Expected answer: 363.104000000000
Correct? Yes
Problem: Suppose instead of growing 3.2 feet every year, the shark grew 19 feet each year. How much total length would the shark have gained after 89.57 years under this new growth rate?
Qwen2-Math 72B:
Reasoning: The shark gains 19 feet in length each year. So, in 89.57 years, it will have gained 19 * 89.57 = <<19*89.57=1691.83>>1691.83 feet. ### Answer: 1691.83
Expected answer: 1701.83000000000
Correct? No
Problem: In a playful snowball fight, Jason threw a snowball that went 50.23 meters before hitting the ground. However, it first had to travel past a tree that was 24.6 meters away. How much distance did the snowball cover past the tree before it hit the ground?
Qwen2-Math 72B:
Reasoning: The snowball covered a distance of 50.23-24.6 = <<50.23-24.6=25.63>>25.63 meters past the tree before it hit the ground. ### Answer: 25.63
Expected answer: 25.6300000000000
Correct? Yes
Problem: After hitting the ground, the snowball rolled an additional 4.4 meters. What was the total distance that the snowball travelled from Jason's hand to its final stopping point?
Qwen2-Math 72B:
Reasoning: The snowball travelled a total distance of 50.23+4.4 = <<50.23+4.4=54.63>>54.63 meters from Jason's hand to its final stopping point. ### Answer: 54.63
Expected answer: 30.0300000000000
Correct? No
Problem: Jason decided to have another snowball fight but this time the snowball went 78 meters before hitting the ground, still having to travel past the same tree that was 24.6 meters away. How much distance did the snowball cover past the tree before it hit the ground this time?
Qwen2-Math 72B:
Reasoning: The snowball covered a distance of 78-24.6 = <<78-24.6=53.4>>53.4 meters past the tree before it hit the ground. ### Answer: 53.4
Expected answer: 53.4000000000000
Correct? Yes
Problem: A beach ball manufacturer produces 3792.28 beach balls which are distributed equally amongst 45.2 beach stores. How many beach balls does each store receive?
Qwen2-Math 72B:
Reasoning: To find out how many beach balls each store receives, we need to divide the total number of beach balls by the number of stores. 3792.28 / 45.2 = <<3792.28/45.2=83.89999999999999>>83.9 (rounded to one decimal place) ### Answer: 83.9
Expected answer: 83.9000000000000
Correct? Yes
Problem: If each of the beach stores received an additional shipment of beach balls equal to the amount they originally received, how many beach balls does each store now have in total?
Qwen2-Math 72B:
Reasoning: If each store received an additional shipment of beach balls equal to the amount they originally received, then each store now has twice the amount they originally received. 83.9 * 2 = <<83.9*2=167.8>>167.8 ### Answer: 167.8
Expected answer: 167.800000000000
Correct? Yes
Problem: If the beach ball manufacturer had initially produced 3792.28 beach balls which were distributed equally amongst 48 beach stores instead of 45.2, how many beach balls would each store have received originally?
Qwen2-Math 72B:
Reasoning: To find out how many beach balls each store would have received originally, we need to divide the total number of beach balls by the number of stores. 3792.28 / 48 = <<3792.28/48=79.00583333333333>>79.0 (rounded to one decimal place) ### Answer: 79.0
Expected answer: 79.0058333333333
Correct? No
Problem: A fishing company has caught 1303.12 pounds of fish, which they want to divide equally among 18.2 of their stores. How many pounds of fish will each store receive?
Qwen2-Math 72B:
Reasoning: To find out how many pounds of fish each store will receive, we need to divide the total weight of the fish by the number of stores. 1303.12 pounds / 18.2 stores = <<1303.12/18.2=71.59945054945055>>71.6 pounds per store (rounded to one decimal place) ### Answer: 71.6 pounds
Expected answer: 71.6000000000000
Correct? Yes
Problem: Following the last question, suppose the fishing company initially caught 35 pounds of fish instead of 1303.12 pounds and it still had to be divided equally among 18.2 stores. How many pounds of fish will each store receive now?
Qwen2-Math 72B:
Reasoning: To find out how many pounds of fish each store will receive, we need to divide the total weight of the fish by the number of stores. 35 pounds / 18.2 stores = <<35/18.2=1.9230769230769232>>1.9 pounds per store (rounded to one decimal place) ### Answer: 1.9 pounds
Expected answer: 1.92307692307692
Correct? Yes
Problem: A luxurious watch brand has two different models. The first model weighs 68.7 grams, and the second one weighs 49.3 grams. What is the total weight of both watch models in grams?
Qwen2-Math 72B:
Reasoning: The total weight of both watch models is 68.7 + 49.3 = <<68.7+49.3=118>>118 grams. ### Answer: 118
Expected answer: 118.000000000000
Correct? Yes
Problem: Following the previous question: If an artist decides to decorate each gram of both watch models with 75.6 milligrams of gold, how many milligrams of gold will he need in total to decorate all the watches?
Qwen2-Math 72B:
Reasoning: The artist needs 118 * 75.6 = <<118*75.6=8932.8>>8932.8 milligrams of gold to decorate all the watches. ### Answer: 8932.8
Expected answer: 8920.80000000000
Correct? No
Problem: Following the previous question: If the first watch model actually weighed 68.7 grams and a second, lighter model only weighed 1 gram, what would be the total weight of both watch models in grams?
Qwen2-Math 72B:
Reasoning: The total weight of both watch models is 68.7 + 1 = <<68.7+1=69.7>>69.7 grams. ### Answer: 69.7
Expected answer: 69.7000000000000
Correct? Yes
Problem: A snowman is built with a large base snowball that weighs 42.8 pounds and a smaller top snowball that weighs 6.3 pounds. How much does the snowman weigh in total?
Qwen2-Math 72B:
Reasoning: The total weight of the snowman is the sum of the weights of the two snowballs. Total weight = 42.8 + 6.3 = <<42.8+6.3=49.1>>49.1 pounds. ### Answer: 49.1 pounds
Expected answer: 49.1000000000000
Correct? Yes
Problem: Given the total weight of the previously built snowman, an even larger snowman is to be made that is 91.92 times heavier than the first. How heavy is this new snowman?
Qwen2-Math 72B:
Reasoning: The weight of the new snowman is 91.92 times the weight of the first snowman. Weight of the new snowman = 49.1 * 91.92 = <<49.1*91.92=4512.072>>4512.072 pounds. ### Answer: 4512.072 pounds
Expected answer: 4513.27200000000
Correct? No
Problem: Previously, a snowman was built with a base snowball that weighed 42.8 pounds and a top snowball that weighed 6.3 pounds. Now, consider a scenario where the top snowball is much larger and weighs 51 pounds instead. How much does the snowman weigh in this case?
Qwen2-Math 72B:
Reasoning: The total weight of the snowman is the sum of the weights of the two snowballs. Total weight = 42.8 + 51 = <<42.8+51=93.8>>93.8 pounds. ### Answer: 93.8 pounds
Expected answer: 93.8000000000000
Correct? Yes
Problem: A factory produced 24.91 pencils per minute for a consecutive period of 46.98 minutes. How many pencils were produced in total?
Qwen2-Math 72B:
Reasoning: The total number of pencils produced is 24.91 * 46.98 = <<24.91*46.98=1160.5018>>1160.5018 pencils. ### Answer: 1160.5018
Expected answer: 1170.27180000000
Correct? No
Problem: A farmer has 26.0 chickens, each laying 22.0 eggs. How many eggs in total do the chickens lay?
Qwen2-Math 72B:
Reasoning: To find the total number of eggs laid, we multiply the number of chickens by the number of eggs each lays. Total eggs = 26.0 chickens * 22.0 eggs/chicken = <<26.0*22.0=572.0>>572.0 eggs. ### Answer: 572.0
Expected answer: 572.000000000000
Correct? Yes
Problem: The farmer decides to sell the eggs in the market. Each egg sells for $10.11. How much money in total does the farmer earn from the sale of the eggs?
Qwen2-Math 72B:
Reasoning: To find the total earnings, we multiply the total number of eggs by the price per egg. Total earnings = 572.0 eggs * $10.11/egg = <<572.0*10.11=5782.92>>$5782.92. ### Answer: $5782.92
Expected answer: 5782.92000000000
Correct? Yes
Problem: In a new scenario, the farmer has 26.0 chickens, but now, each chicken lays 49 eggs instead of 22. How many eggs in total do the chickens lay in this scenario?
Qwen2-Math 72B:
Reasoning: To find the total number of eggs laid in this new scenario, we again multiply the number of chickens by the new number of eggs each lays. Total eggs = 26.0 chickens * 49 eggs/chicken = <<26.0*49=1274.0>>1274.0 eggs. ### Answer: 1274.0
Expected answer: 1274.00000000000
Correct? Yes
Problem: A bus consumes 18.5 liters of fuel per trip. If the bus completes 62.38 trips, how many liters of fuel will it have consumed in total?
Qwen2-Math 72B:
Reasoning: The bus consumes 18.5 liters of fuel per trip. To find the total fuel consumption, we multiply the fuel consumption per trip by the number of trips: 18.5 liters/trip * 62.38 trips = <<18.5*62.38=1154.63>>1154.63 liters. ### Answer: 1154.63 liters
Expected answer: 1154.03000000000
Correct? No
Problem: A jacket costs $14.97 and a person wants to buy 5.9 jackets. What will be the total cost of the jackets?
Qwen2-Math 72B:
Reasoning: The total cost of the jackets is $14.97 * 5.9 = <<14.97*5.9=88.323>>88.323. ### Answer: 88.323
Expected answer: 88.3230000000000
Correct? Yes
Problem: Following on from the previous situation: If instead of wanting to buy 5.9 jackets, the person wanted to buy 62 jackets at the original price of $14.97 each, what would be the total cost for these jackets?
Qwen2-Math 72B:
Reasoning: The total cost of the jackets is $14.97 * 62 = <<14.97*62=928.14>>928.14. ### Answer: 928.14
Expected answer: 928.140000000000
Correct? Yes
Problem: A bookstore initially has 74.46 books. After selling some of them, only 52.19 books are left. How many books did the bookstore sell?
Qwen2-Math 72B:
Reasoning: The bookstore sold 74.46-52.19 = <<74.46-52.19=22.27>>22.27 books. ### Answer: 22.27
Expected answer: 22.2700000000000
Correct? Yes
Problem: Given the same situation, suppose initially the bookstore actually had 74.46 books and they sold some books to a point where their stock was reduced to 57 books. How many books did the bookstore sell in this case?
Qwen2-Math 72B:
Reasoning: The bookstore sold 74.46-57 = <<74.46-57=17.46>>17.46 books. ### Answer: 17.46
Expected answer: 17.4600000000000
Correct? Yes
Problem: A chair production company produces 95.0 chairs every day. If each chair uses 20.7 kilograms of wood, how many kilograms of wood does the company use in one day?
Qwen2-Math 72B:
Reasoning: The company uses 95.0 * 20.7 = <<95*20.7=1966.5>>1966.5 kilograms of wood in one day. ### Answer: 1966.5
Expected answer: 1966.50000000000
Correct? Yes
Problem: Following up on the previous question, if the chair company managed to save 98.83 kilograms of wood after a day's production, how many kilograms of wood did they actually use in making the chairs?
Qwen2-Math 72B:
Reasoning: The company actually used 1966.5 - 98.83 = <<1966.5-98.83=1867.67>>1867.67 kilograms of wood in making the chairs. ### Answer: 1867.67
Expected answer: 1867.67000000000
Correct? Yes
Problem: Following up on the original question, suppose the chair production company instead produces 32 chairs per day, still using the same 20.7 kilograms of wood per chair. How many kilograms of wood does the company use in this case?
Qwen2-Math 72B:
Reasoning: The company uses 32 * 20.7 = <<32*20.7=662.4>>662.4 kilograms of wood in one day. ### Answer: 662.4
Expected answer: 662.400000000000
Correct? Yes
Problem: A jeweler is creating a ring that combines two metals. The first metal weighs 63.2 grams and the second metal weighs 62.95 grams. How much will the ring weigh in grams when both metals are combined?
Qwen2-Math 72B:
Reasoning: The ring will weigh 63.2+62.95 = <<63.2+62.95=126.15>>126.15 grams when both metals are combined. ### Answer: 126.15
Expected answer: 126.150000000000
Correct? Yes
Problem: After creating the ring that combines two metals weighing 63.2 grams and 62.95 grams respectively, the jeweler decides to remove 41.42 grams of the material for fine-tuning the design. What would be the new weight of the ring in grams after this removal?
Qwen2-Math 72B:
Reasoning: The ring weighed 126.15 grams before the removal. After removing 41.42 grams, the new weight of the ring would be 126.15-41.42 = <<126.15-41.42=84.73>>84.73 grams. ### Answer: 84.73
Expected answer: 84.7300000000000
Correct? Yes
Problem: In a modified design, the jeweler decides to use a different first metal that weighs 26 grams instead of 63.2 grams but keeps the second metal that weighs 62.95 grams. In this modified design, what will the new total weight of the ring be with the two metals combined?
Qwen2-Math 72B:
Reasoning: The ring will weigh 26+62.95 = <<26+62.95=88.95>>88.95 grams when both metals are combined. ### Answer: 88.95
Expected answer: 88.9500000000000
Correct? Yes
Problem: A star is 3480.66 light years away from Earth. If the star's light is seen from 36.6 different sighting points on Earth, what is the average distance in light years of the star from each sighting point?
Qwen2-Math 72B:
Reasoning: The average distance of the star from each sighting point is 3480.66/36.6 = <<3480.66/36.6=95.1>>95.1 light years. ### Answer: 95.1
Expected answer: 95.1000000000000
Correct? Yes
Problem: A pizza place sold 84.3 pepperoni pizzas today. They also sold 47.9 more mushroom pizzas. How many pizzas did they sell in total today?
Qwen2-Math 72B:
Reasoning: The pizza place sold 84.3+47.9 = <<84.3+47.9=132.2>>132.2 pizzas in total today. ### Answer: 132.2
Expected answer: 132.200000000000
Correct? Yes
Problem: In addition to the pizzas sold previously, the pizza place also sold 95.5 margherita pizzas today. Altogether, how many pizzas did they sell today?
Qwen2-Math 72B:
Reasoning: The pizza place sold 132.2+95.5 = <<132.2+95.5=227.7>>227.7 pizzas in total today. ### Answer: 227.7
Expected answer: 227.700000000000
Correct? Yes
Problem: A castle has a height of 68.4 meters. If a scale model of this castle is made where 1 meter of the original castle corresponds to 27.69 mm of the model, how many millimeters tall will the model of the castle be?
Qwen2-Math 72B:
Reasoning: The height of the model is 68.4 * 27.69 = <<68.4*27.69=1890.036>>1890.036 mm. ### Answer: 1890.036
Expected answer: 1893.99600000000
Correct? No
Problem: A wizard has a collection of 17.7 magical ingredients. Recently, he found another spot that contained 34.1 magical items. How many magical ingredients does the wizard have in total now?
Qwen2-Math 72B:
Reasoning: The wizard found 34.1 magical items in the new spot. The wizard has 17.7 + 34.1 = <<17.7+34.1=51.8>>51.8 magical ingredients in total now. ### Answer: 51.8
Expected answer: 51.8000000000000
Correct? Yes
Problem: In the previous scenario, what if the wizard initially had only 17.7 magical items and he found a new spot that contained 83 magical items? How many magical items would the wizard have in total then?
Qwen2-Math 72B:
Reasoning: The wizard found 83 magical items in the new spot. The wizard has 17.7 + 83 = <<17.7+83=100.7>>100.7 magical items in total now. ### Answer: 100.7
Expected answer: 100.700000000000
Correct? Yes
Problem: A fleet of camping tents has a combined weight of 1448.37 pounds. If there are 69.3 tents in this fleet, how much does each tent weigh in pounds?
Qwen2-Math 72B:
Reasoning: Each tent weighs 1448.37/69.3 = <<1448.37/69.3=20.9>>20.9 pounds. ### Answer: 20.9
Expected answer: 20.9000000000000
Correct? Yes
Problem: Following up on the previous question, the standard weight for this type of tent is set at 85.4 pounds. After working out the actual weight of each tent, how much do the tents differ from the standard weight?
Qwen2-Math 72B:
Reasoning: The difference between the actual weight and the standard weight is 85.4-20.9 = <<85.4-20.9=64.5>>64.5 pounds. ### Answer: 64.5
Expected answer: 64.5000000000000
Correct? Yes
Problem: Following up on the previous question, what if there were actually 45 tents in the fleet instead of 69.3? With the same total weight of 1448.37 pounds, how much would each tent weigh then?
Qwen2-Math 72B:
Reasoning: Each tent weighs 1448.37/45 = <<1448.37/45=32.186>>32.186 pounds. ### Answer: 32.186
Expected answer: 32.1860000000000
Correct? Yes
Problem: A monkey collected 52.7 bananas in the morning and 88.17 bananas in the afternoon. How many bananas did the monkey collect in total?
Qwen2-Math 72B:
Reasoning: The monkey collected 52.7+88.17 = <<52.7+88.17=140.87>>140.87 bananas in total. ### Answer: 140.87
Expected answer: 140.870000000000
Correct? Yes
Problem: Each bubble has a volume of 55.9 cubic centimeters. If a child blows 77.8 such bubbles, what would be the total volume of the bubbles in cubic centimeters?
Qwen2-Math 72B:
Reasoning: The total volume of the bubbles is 55.9 * 77.8 = <<55.9*77.8=4348.02>>4348.02 cubic centimeters. ### Answer: 4348.02
Expected answer: 4349.02000000000
Correct? No
Problem: A dinosaur eats 19.45 kilograms of vegetation every hour. If it eats for 48.71 hours straight without stopping, how many kilograms of vegetation will it have consumed in total?
Qwen2-Math 72B:
Reasoning: The total amount of vegetation consumed is calculated by multiplying the amount consumed per hour by the number of hours. Total vegetation consumed = 19.45 kg/hour * 48.71 hours = <<19.45*48.71=945.9495>>945.9495 kg ### Answer: 945.9495
Expected answer: 947.409500000000
Correct? No
Problem: A dragon has hoarded 65.4 kilograms of gold and 28.5 kilograms of gems. How much total weight has the dragon hoarded in kilograms?
Qwen2-Math 72B:
Reasoning: The total weight of the hoard is 65.4+28.5 = <<65.4+28.5=93.9>>93.9 kilograms. ### Answer: 93.9
Expected answer: 93.9000000000000
Correct? Yes
Problem: After the dragon has hoarded 65.4 kilograms of gold and 28.5 kilograms of gems, he decides to add some silver to his hoard. If the dragon's total hoard is decreased by 6.74 kilograms after adding the silver, what will be the new total weight of the dragon's hoard?
Qwen2-Math 72B:
Reasoning: The total weight of the hoard before adding the silver is 65.4+28.5 = <<65.4+28.5=93.9>>93.9 kilograms. The total weight of the hoard after adding the silver is 93.9-6.74 = <<93.9-6.74=87.16>>87.16 kilograms. ### Answer: 87.16
Expected answer: 87.1600000000000
Correct? Yes
Problem: Each teddy bear in a toy shop weighs 96.8 grams. If there are 93.3 teddy bears in the shop, what is the total weight of the teddy bears in grams?
Qwen2-Math 72B:
Reasoning: The total weight of the teddy bears is 96.8 * 93.3 = <<96.8*93.3=9010.44>>9010.44 grams. ### Answer: 9010.44
Expected answer: 9031.44000000000
Correct? No
Problem: A UFO is found to travel 2.46 light years every month. How far, in light years, would the UFO have travelled after 3.5 months?
Qwen2-Math 72B:
Reasoning: The UFO travels 2.46*3.5 = <<2.46*3.5=8.61>>8.61 light years after 3.5 months. ### Answer: 8.61
Expected answer: 8.61000000000000
Correct? Yes
Problem: Following from the previous scenario, after travelling 2.46 light years every month for 3.5 months, the UFO then continued travelling for an additional 33.17 light years. How far did the UFO travel in total?
Qwen2-Math 72B:
Reasoning: The UFO travelled 8.61+33.17 = <<8.61+33.17=41.78>>41.78 light years in total. ### Answer: 41.78
Expected answer: 41.7800000000000
Correct? Yes
Problem: In the previous situation, the UFO was assumed to travel 2.46 light years every month for 3.5 months. Now assume that the UFO has instead been traveling at that speed for 68 months. How far in light years would the UFO have traveled this time?
Qwen2-Math 72B:
Reasoning: The UFO travels 2.46*68 = <<2.46*68=167.28>>167.28 light years after 68 months. ### Answer: 167.28
Expected answer: 167.280000000000
Correct? Yes
Problem: In a park, there is a rectangular field with an area of 36.82 square meters. If there are 57.5 such fields in the park, what is the total area, in square meters, of all these fields?
Qwen2-Math 72B:
Reasoning: The total area of all the fields is 36.82 * 57.5 = <<36.82*57.5=2114.65>>2114.65 square meters. ### Answer: 2114.65
Expected answer: 2117.15000000000
Correct? No
Problem: A herd of giraffes collectively eats 2571.29 kilograms of leaves each day. If there are 38.9 giraffes in the herd, how many kilograms of leaves does each giraffe eat daily?
Qwen2-Math 72B:
Reasoning: To find out how many kilograms of leaves each giraffe eats daily, we need to divide the total amount of leaves consumed by the herd by the number of giraffes in the herd. Total leaves consumed by the herd = 2571.29 kilograms Number of giraffes in the herd = 38.9 Leaves consumed by each giraffe = Total leaves consumed by the herd / Number of giraffes in the herd Leaves consumed by each giraffe = 2571.29 / 38.9 Leaves consumed by each giraffe = <<2571.29/38.9=66.09>>66.09 kilograms ### Answer: 66.09 kilograms
Expected answer: 66.1000000000000
Correct? No
Problem: A unicorn needs 217.35 units of magic energy to teleport to another location. If one rainbow provides 20.7 units of magic energy, how many rainbows will it consume for the unicorn to teleport once?
Qwen2-Math 72B:
Reasoning: The unicorn needs 217.35/20.7 = <<217.35/20.7=10.5>>10.5 rainbows to teleport once. ### Answer: 10.5
Expected answer: 10.5000000000000
Correct? Yes
Problem: In the previous problem, a unicorn needed 217.35 units of magic energy to teleport to another location and then recover. But what if a smaller, younger unicorn only needs 83 units of magic energy to teleport? How many rainbows would this younger unicorn consume for just the teleportation part?
Qwen2-Math 72B:
Reasoning: The younger unicorn needs 83/20.7 = <<83/20.7=4>>4 rainbows to teleport. ### Answer: 4
Expected answer: 4.00966183574879
Correct? No