2.5 * 5 = 12.5 hours. 0.5 * 3 = 1.5 hours. 12.5 + 1.5 hours = 14 hours. 14 hours = 14 * 60 = 840 minutes. It would take 840 minutes to groom 5 dogs and 3 cats.
The answer: 840
Reverse engineering the question: It takes 2.5 hours to groom a dog and 0.5 hours to groom a cat. What is the number of minutes it takes to groom 5 dogs and 3 cats?


Reasoning and answer: Twice the number of participants in 2018 is 150 participants x 2 = 300 participants. The number of participants in 2019 was 300 participants + 20 participants = 320 participants. Half the number of participants in 2019 is 320 participants / 2 = 160 participants. The number of participants in 2020 was 160 participants - 40 participants = 120 participants. There were 320 participants - 120 participants = 200 more participants in 2019 than in 2020.
The answer: 200
What was the question?
Question: In a school, the number of participants in the 2018 Science Quiz Bowl was 150. There were 20 more than twice the number of participants in 2019 as there were in 2018. In 2020, the number of participants was 40 less than half the number of participants in 2019. How many more participants were there in 2019 than in 2020?


This is equivalent to one worker working for 15 * 6 = 90 days. The pay per worker per day would be $9450 / 90 = $105. 19 workers working for 5 days is equivalent to one worker working for 19 * 5 = 95 days. It would cost $105 * 95 = $9975 to pay the workers for their time.
The answer: 9975
Reverse engineering the question: If the wages of 15 workers for 6 days is $9450. What would be the wages for 19 workers for 5 days?


Reasoning and answer: Infertile:30(.20) = 6. 30 - 6 = 24 eggs remain. Calcification Issues:24(1 / 3) = 8. 24 - 8 = 16 eggs that will hatch.
The answer: 16
What was the question?
Question: A gecko lays 30 eggs per year. 20 percent of them are infertile, and a third of the remaining eggs will not hatch due to calcification issues. How many eggs actually hatch?


First find the total number of antacids Nancy takes after eating Indian food per week: 3 antacids / day * 3 days / week = 9 antacids / week. Then find the total number of antacids Nancy takes after eating Mexican food per week: 2 antacids / day * 2 days / week = 4 antacids / week. Then find the number of days she doesn't eat Indian food or Mexican food: 7 days / week - 3 days / week - 2 days / week = 2 days / week. Then find the total number of antacids Nancy takes per week: 9 antacids / week + 4 antacids / week + 2 antacids / week = 15 antacids / week. Then multiply her weekly antacid consumption by the number of weeks per month to find her monthly consumption: 15 antacids / week * 4 week / month = 60 antacids / month.
The answer: 60
Reverse engineering the question: Nancy takes 3 antacids per day when she eats Indian food, 2 antacids per day when she eats Mexican food, and 1 antacid per day otherwise. If Nancy eats Indian three times a week and Mexican twice a week, how many antacids does she take per month?


Grant threw the ball 25% farther than Parker. If Parker threw the ball 16 yards, then Grant threw it 16 * .25 = 4 farther. In total, Grant threw the ball 16 + 4 = 20 yards. Kyle threw 2 times farther than Grant so Kyle threw the ball 2 * 20 = 40 yards. If Kyle threw the ball for 40 yards and Parker threw for 16 then Kyle threw the ball 40 - 16 = 24 yards farther.
The answer: 24
Reverse engineering the question:
At football tryouts, the coach wanted to see who could throw the ball the farthest. Parker threw the ball 16 yards. Grant threw the ball 25 percent farther than Parker and Kyle threw the ball 2 times farther than Grant. Compared to Parker, how much farther did Kyle throw the ball?