Reasoning and answer: Lee currently earns $60,000 / 12 months = $5,000 per month. The engagement ring will cost him 2 * $5,000 = $10,000. This means that it will take Lee $10,000 / $1,000 = 10 months to save enough money before he can propose.
The answer: 10
What was the question?
Question: Lee wants to propose marriage to Sierra. He wants to follow the adage that you should spend two months' salary on the ring. He earns $60,000 per year in salary and can save $1000 per month. How long will it take before he can propose to Sierra?
He has 2,000 pounds of fish because 10 x 200 = 2,000. He has enough for 80 customers because 2,000 / 25 = 80. 20 customers go home without any fish because 100 - 80 = 20.
The answer: 20
Reverse engineering the question: Mr. Ray has 100 customers waiting at his fish market. He has 10 tuna, each of which weighs 200 pounds. Each customer wants 25 pounds of tuna. Mr. Ray's store is first come, first served. How many customers will go home without any fish?
Reasoning and answer: He sells the house for 1 + .2 = 1.2 times its value. So he sells the house for 500,000 * 1.2 = 600,000. He splits the money 1 + 3 = 4 ways. So each person gets 600,000 / 4 = $150,000 before taxes. Taxes take away 150,000 * .1 = $15,000. So each person gets 150,000 - 15,000 = $135,000.
The answer: 135000
What was the question?
Question: James sells a $500,000 house for 20% over market value. He splits the revenue with his 3 brothers. How much does each person get after taxes take away 10%?
If there are 200 lions in the park, which is twice the number of leopards in the park, there are 200 / 2 = 100 leopards in the park. The total population of lions and leopards in the park is 200 lions + 100 leopards = 300. The number of elephants in the park is 1 / 2 the total population of lions and leopards; thus, there are 300 / 2 = 150 elephants in the park. There are a total of 150 + 300 = 450 animals in the park.
The answer: 450
Reverse engineering the question: The total number of lions in a park is twice the number of leopards in the same park. The number of elephants is half the combined number of lions and leopards. Calculate the total population of the three animals in the park if the number of lions is 200.
Reasoning and answer: Billy slept 6 hours the first night. He then slept 6 + 2 = 8 hours the second night. Billy then slept 8 / 2 = 4 hours the third night. Finally, Billy slept 4 * 3 = 12 hours the fourth night. In total, Billy slept 6 + 8 + 4 + 12 = 30 hours.
The answer: 30
What was the question?
Question: If Billy sleeps 6 hours one night, then 2 more hours than that the following night, and then half the previous amount the following night, and then finally triple the previous amount the final night, how much did he sleep in that four day period?
Reasoning and answer: After one year, Sam had $10,000 * 1.2 = $12,000. After two years, he had $12,000 * 1.2 = $14,400. After the third year, he had $14,400 * 1.2 = $17,280. He then invested more money until he had 3 * $17,280 = $51,840. The first year after that, he had $51,840 * 1.15 = $59,616.
The answer: 59616
What was the question?
Question:
Sam invested $10,000 and earned 20% interest compounded for 3 years. He then invested more until he had three times as much invested. The next year, he got a 15% return on his investment. How much money does he have now?