Question: Alice is making a big stack of dishes to see how tall she can make it before it topples over and falls. She starts off by placing 27 plates on top of each other. The tower holds fine so she adds 37 more plates. She is in the process of placing more and more plates when it finally topples over and crashes down, all 83 plates. How many more was Alice able to add before the tower fell and crashed?
Answer: Alice was able to stack 27 + 37 = 64 plates she already stacked. The tower crashes when there are 83 plates - 64 plates already stacked = 19 plates she was able to stack before the tower crashed. The answer is 19.
[Question]Some friends went hiking for 3.5 hours. They traveled 21 kilometers in that time. Birgit was 4 minutes/km faster than the average time. If Birgit kept the same pace, how many minutes would it take her to go 8 kilometers?
[Answer]Minutes spent hiking = 3.5 * 60 = 210 minutes. Average speed = 210 minutes / 21 km = 10 minutes / km. Birgit is 4 minutes / km faster = 10 - 4 = 6 min / km. It would take 6 * 8 = 48 minutes to go 8 km. Birgit would take 48 minutes to travel 8 kilometers. The answer is 48.
Q: The chances of making the junior high basketball team start at 10% if you're 66 inches and increase 10% for every additional inch of height. Devin starts out as 65 inches tall, then grows 3 inches. What are his chances of making the basketball team?
A: First find Devin's new height by adding his growth to the original height: 65 inches + 3 inches = 68 inches. Then subtract 66 inches from Devin's height to find how many extra inches of height he has: 68 inches - 66 inches = 2 inches. Then multiply the number of extra inches by the percentage increase per inch to find the total percentage increase in his chances: 2 inches * 10% / inch = 20%. Then add the percentage increase to the base percentage to find Devin's overall chance of making the basketball team: 10% + 20% = 30%. The answer is 30.
Question: Three companies, A, B, and C, each purchased 10 ad spaces on a newspaper, with each ad space having a size of 12 foot by 5-foot rectangle. If each square foot ad was charged at $60, how much money did the three pay for the ads combined?
Answer: A size 12 foot by 5 - foot rectangle ad takes 12 * 5 = 60 square feet since the area of a rectangle is l * w. If each company bought 10 ad spaces, the total area that their ads took is 60 * 10 = 600 square feet. If each square foot of ad space was charged at $60, 600 square feet of ads cost $60 * 600 = $36000. If all three companies each purchased an equal number of ad space, together they paid $36000 * 3 = $108000. The answer is 108000.
[Question]Ms. Warren ran at 6 mph for 20 minutes. After the run, she walked at 2 mph for 30 minutes. How many miles did she run and walk in total?
[Answer]20 minutes is 20 / 60 = 1 / 3 of an hour. Ms. Warren ran 6 / 3 = 2 miles. 30 minutes is 30 / 60 = 1 / 2 of an hour. Ms. Warren walked 2 / 2 = 1 mile. Ms Warren ran and walked 2 + 1 = 3 miles in total. The answer is 3.
[Question]1,800 fish swim westward, 3,200 swim eastward, and 500 swim north. What is the number of fish left in the sea, if fishers catch 2/5 of the fish that swam eastward and 3/4 of the fish that swam westward?
[Answer]
When fishers caught 3 / 4 of the fish that swam westward, their total number reduced by 3 / 4 * 1800 fish = 1350. The total number of fish that remained from the total number that swam eastward is 1800 fish - 1350 fish = 450 fish. If fishers caught 2 / 5 of the fish that swam eastward, their total number reduced by 2 / 5 * 3200 fish = 1280 fish. 3200 fish - 1280 fish = 1920 fish remained in the sea from the number that swam westward. The total number of fish in the sea after fishers caught some is 500 of the number that went north + 450 of the fish that swam westward + 1920 of the fish that swam eastward = 2870 fish. The answer is 2870.