Reasoning and answer: The sum of the ratio is 1 + 1 + 3 = 5, therefore each part is 1500 / 5 = 300 stickers. Sam got 3 parts for a total of 3 * 300 = 900 stickers. He gave two - thirds of this which is 900 * (2 / 3) = 600 stickers to Andrew. Andrew had one part already, which is 1 * 300 = 300. Andrew now has a total of 300 + 600 = 900 stickers.
The answer: 900
What was the question?
Question: Mary bought a packet of 1500 stickers. She shared them between Susan, Andrew and Sam in the ratio 1:1:3 respectively. If Sam gave Andrew two-thirds of his own share, how many stickers does Andrew now have?
The second cooler is 100 * .5 = 50 liters bigger than the first. So it is 100 + 50 = 150 liters. The third is 150 / 2 = 75 liters. So the total water they can hold is 100 + 150 + 75 = 325 liters.
The answer: 325
Reverse engineering the question: John buys 3 different coolers. The first one is 100 liters. The second is 50% bigger than that and the third is half the size of the second. How much total water can they hold?
Reasoning and answer: Each bus can accommodate 10 x 4 = 40 students. Therefore, 40 x 6 = 240 students can be accommodated by the six busses.
The answer: 240
What was the question?
Question: A school bus has 4 columns and 10 rows of seats. If the school has 6 buses, how many students can the buses accommodate?
John traveled 10 + 4 = 14 miles to the park. His round trip would take 14 x 2 = 28 miles. If you subtract the 4 miles he walked then John traveled 28 - 4 = 24 miles.
The answer: 24
Reverse engineering the question: John skateboarded for 10 miles and then walked another 4 miles to the park. He then skated all the way back home. How many miles has John skateboarded in total?
Reasoning and answer: There were 1150 - 150 = 1000 people who didn't vote for John. That means James got 1000 * .7 = 700 votes. So the other candidate got 1000 - 700 = 300 votes. This means he got 300 - 150 = 150 more votes than John.
The answer: 150
What was the question?
Question: 3 people run for president. John manages to capture 150 votes. James captures 70% of the remaining vote. If there were 1150 people voting, how many more votes did the third guy get than John?
Reasoning and answer: Ray gave 25 * 2 = 50 cents to Randi. Ray has 95 - 25 - 50 = 20 cents in nickels left. Ray has 20 / 5 = 4 nickels.
The answer: 4
What was the question?
Question:
Ray has 95 cents in nickels. If Ray gives 25 cents to Peter, and twice as many cents to Randi as he gave to Peter, how many nickels does Ray have left?