In the second month, Vinny lost half as much as he had the first month, so he lost 20 pounds / 2 = 10 pounds. In the third month, he again lost half as much which was 10 pounds / 2 = 5 pounds. And in the fourth month, he lost 5 pounds / 2 = 2.5 pounds. So in total, Vinny lost 20 + 10 + 5 + 2.5 = 37.5 pounds in the first four months. Over his entire diet, he had lost 300 250.5 = 49.5 pounds. So in the fifth month, Vinny must have lost 49.5 pounds total loss 37.5 pounds loss in the first four months = 12 pounds.
The answer: 12
Reverse engineering the question: Vinny weighed 300 pounds then lost 20 pounds in the first month of his diet. He continued his diet but each month, he lost half as much weight as he had lost in the previous month. At the start of the fifth month of his diet, he worked harder to lose extra weight then decided to end his diet. If Vinny weighed 250.5 pounds at the end of his diet, how many pounds did he lose throughout the fifth month?
Reasoning and answer: After the first spray kills 50% of germs, there will be 100 - 50 = 50% left. The second spray kills 25%, but 5% have already been killed by the 50% spray, so it kills 25 - 5 = 20%. After the second spray kills 20% of the remaining germs, there will be 50 - 20 = 30% left.
The answer: 30
What was the question?
Question: A cleaning company produces two sanitizer sprays. One spray kills 50% of germs, and another spray kills 25% of germs. However, 5% of the germs they kill are the same ones. What percentage of germs would be left after using both sanitizer sprays together?
She ordered 4 1 / 2 pound steaks so that's 4 * .5 = 2 pounds of steak. The steak cost $15.00 a pound and she bought 2 pounds so that's 15 * 2 = $30.00 for 4 steaks. She also needed 1.5 pounds of chicken breasts at $8.00 a pound so that's 1.5 * 8 = $12.00 for chicken. The steaks cost $30.00 and the chicken cost $12.00 for a total of 30 + 12 = $42.00 spent at the butchers.
The answer: 42
Reverse engineering the question: Barbara asked the butcher for 4 1/2 pound steaks that cost $15.00/pound. She also asked for a pound and half of chicken breasts that were $8.00 a pound. How much did she spend at the butchers?
Reasoning and answer: Benny spent 2 * $4 = $8 on soft drinks. Benny spent a total of $28 - $8 on soft drinks = $20 on candy bars. Benny spent $20 / 5 candy bars = $4 for each candy bar.
The answer: 4
What was the question?
Question: Benny bought 2 soft drinks for$ 4 each and 5 candy bars. He spent a total of 28 dollars. How much did each candy bar cost?
There are 40 / 2 = 20 women at the event. Hence, there are a total of 40 + 20 = 60 men and women at the event. So, the total number of children at the event is 80 - 60 = 20. After Oleg added 10 children to the guest list, there are a total of 20 + 10 = 30 children.
The answer: 30
Reverse engineering the question: Oleg is an event organizer. He is organizing an event with 80 guests where 40 of them are men, half the number of men are women, and the rest are children. If he added 10 children to the guest list, how many children will there be at the event?
One chair costs $140 x 1 / 7 = $20. Four chairs cost $20 x 4 = $80. So a table and 4 chairs cost $140 + $80 = $220.
The answer: 220
Reverse engineering the question:
A chair costs 1/7 of the cost of a table. If a table costs $140, how much will it cost to buy a table and 4 chairs?