If Reese practices 4 four hours every week, in a month, with four weeks, he would have practiced for 4 * 4 = 16 hours. In five months, Reese would have practiced for 5 * 16 = 80 hours.
The answer: 80
Reverse engineering the question: Reese has been practicing piano for four hours every week. How many hours will he practice after five months?


Reasoning and answer: Shane takes a total of 2 photos / day * 31 days = 62 photos in January. This means he must have taken 146 total photos – 62 January photos = 84 photos in February. As he took an equal number each week, he must have taken 84 photos / 4 weeks = 21 photos each week.
The answer: 21
What was the question?
Question: Shane wants to take as many photos as possible this year. He takes 146 photos in the first 2 months of the year. In January, he takes 2 photos every day. The rest of the photos were taken in February. If in February he took an equal number of photos each week, how many photos did Shane take each week in February?


The school got a $150 x 5 / 100 = $7.50 seminar fee discount for each teacher. Each teacher's seminar fee costs $150 - $7.50 = $142.50. So, ten teachers' seminar fees cost $142.50 x 10 = $1425. The food allowance for 10 teachers amounts to $10 x 10 = $100. Therefore, the school spent a total of $1425 + $100 = $1525.
The answer: 1525
Reverse engineering the question: A seminar is offered to a school for their teachers. The regular seminar fee is $150 but they offer a 5% discount if they register 2 days before the scheduled seminar. The school registered 10 teachers for the seminar a week before the schedule and it also released a $10 food allowance for each of the teachers. How much did the school spend in all?


Reasoning and answer: Of the under - 30s there for the second band, 40% are men because 100 - 60 = 40. There are fifty under - 30s there for the second band because 20 / .4 = 50. There are 100 people there to see the second band because 50 / .5 = 100. There are 150 people at the concert because 100 / (2 / 3) = 150.
The answer: 150
What was the question?
Question: April went to a concert that has two bands. 2/3 of the audience was there for the second band and 1/3 was there for the first band. 50% of the audience there for the second band is under the age of 30. Of this group, 60% are women and there are 20 men. How many people are at the concert?


After putting 10 eggs in the fridge, the chef has 60 - 10 = 50 eggs left to make cakes. Since it takes 5 eggs to make one cake, the chef can make 50 eggs ÷ 5 eggs per cake = 10 cakes.
The answer: 10
Reverse engineering the question: The chef has 60 eggs. He puts 10 eggs in the fridge and uses the rest to make cakes. If he used 5 eggs to make one cake, how many cakes did the chef make?


Bob runs .1 miles per minute because 6 / 60 = .1. Jim run at .15 miles per minute 9 / 60 = .15. We know that .1(Number of Minutes) + 1 = .15(Number of Minutes). Therefore 1 = .05(Number of minutes). Therefore (Number of minutes) = 20 because 1 / .05 = 20.
The answer: 20
Reverse engineering the question:
Bob runs 6 miles per hour. His friend Jim runs at 9 miles per hour. If Bob has a 1 mile head-start, how many minutes will it take before Jim catches him?