In the first bag the proportion that pops is .8 because 60 / 75 = .8. In the second bag the proportion that pops is .84 because 42 / 50 = .84. In the third bag the proportion that pops is .82 because 82 / 100 = .82. The proportions totals 2.46 because .8 + . 84 + .82 = 2.46. The average proportion is .82 because 2.46 / 3 = .82. The average percentage is 82 because .82 x 100 = 82.
The answer: 82
Reverse engineering the question: Parker wants to find out what the average percentage of kernels that pop in a bag is. In the first bag he makes, 60 kernels pop and the bag has 75 kernels. In the second bag, 42 kernels pop and there are 50 in the bag. In the final bag, 82 kernels pop and the bag has 100 kernels.


Reasoning and answer: They see 27 total birds because 9 + 11 + 7 = 27. They see an average of 9 birds each because 27 / 3 = 9.
The answer: 9
What was the question?
Question: Marcus, Humphrey, and Darrel are bird watching. Marcus sees 7 birds, Humphrey sees 11 birds, and Darrel sees 9 birds. How many birds does each of them see on average?


He releases 1 video that is 2 * 6 = 12 minutes long. So each day he releases 2 + 2 + 12 = 16 minutes of videos. That means he releases 16 * 7 = 112 minutes of videos.
The answer: 112
Reverse engineering the question: John releases 3 videos on his channel a day. Two of them are short 2 minute videos and 1 of them is 6 times as long. Assuming a 7-day week, how many minutes of video does he release per week?


Reasoning and answer: The total of Hannah's brothers' ages is 3 * 8 = 24. Hannah is twice as old as the total of her brothers' ages, so Hannah is 24 * 2 = 48 years old.
The answer: 48
What was the question?
Question: Hannah has three brothers. Her brothers are all 8 years old. How old is Hannah if she is twice as old as the sum of her brother's ages?


Since one - third of the class participated, there are 39 * 1 / 3 = 13 students who participated in the competition. This means that 39 – 13 = 26 students did not participate.
The answer: 26
Reverse engineering the question: One-third of a class of 39 students took part in a math competition. How many students did not participate in the competition?


If Coco used his oven 25 hours last month and its energy consumption is 2.4 kW per hour, then we consumed a total of 25 * 2.4 = 60 kW on his oven last month. If the price of electricity is $0.10 per kW, then 60 kW would cost = $0.10 * 60 = $6.
The answer: 6
Reverse engineering the question:
The electricity price in Coco's town is $0.10 per kW. Coco's new oven has a consumption rate of 2.4 kWh (kilowatt-hours). How much will Coco pay for using his oven only if he used it for a total of 25 hours last month?