Reasoning and answer: Over the past five years, the sum of the temperatures was 90 + 90 + 90 + 79 + 71 = 420. To find the average temperature you divide the total temperature (420) by 5, so 420 / 5 = 84 degrees.
The answer: 84
What was the question?
Question: Over the past five years, on July 4th, the high temperature for Washington, DC has been: 90 degrees in 2020, 90 degrees in 2019, 90 degrees in 2018, 79 degrees in 2017 and 71 degrees in 2016. What is the average temperature for July 4th in Washington, DC over the past 5 years?


Jess’ second stack was 7 blocks + 5 blocks = 12 blocks. Jess’ third stack was 12 blocks + 7 blocks = 19 blocks high. Jess’ sister knocked down the second tower and knocked 12 blocks – 2 = 10 blocks knocked over. Jess’ sister knocked down the final tower and knocked 19 blocks – 3 = 16 blocks knocked over. Total blocks knocked over was 7 blocks + 10 + 16 = 33 blocks.
The answer: 33
Reverse engineering the question: Jess made 3 different stacks of wooden blocks. The first stack was 7 blocks high, the second stack was 5 block(s) higher than the first, and the final stack was 7 block(s) higher than the second. Jess’ little sister knocked over the entire first tower, in the second tower she left 2 blocks standing, and in the final tower she left 3 blocks standing. How many blocks in total fell down?


Reasoning and answer: Billy's age is 30 / 3 = 10 years old. The sum of the ages of Billy and Lucas is 30 / 2 = 15. So, Lucas is 15 - 10 = 5 years old now. Therefore, Lucas will be 5 + 3 = 8 years old three years from now.
The answer: 8
What was the question?
Question: The age of Gladys is equal to twice the sum of the ages of Billy and Lucas. Billy is 3 times younger than Gladys who is 30 years old now. How old will Lucas be three years from now?


The students bought $6 * 20 = $120 worth of tickets. The adults bought $8 * 12 = $96 worth of tickets. Together $120 + $96 = $216 worth of tickets were sold.
The answer: 216
Reverse engineering the question: Tickets to the school play cost $6 for students and $8 for adults. If 20 students and 12 adults bought tickets, how many dollars' worth of tickets were sold?


Reasoning and answer: Leo had 400 / 10 = 40 packs of marbles. He gave Manny 1 / 4 x 40 = 10 packs of marbles. And, Neil received 1 / 8 x 40 = 5 packs of marbles. Thus, Leo. gave a total of 10 + 5 = 15 packs of marbles. Therefore, Leo kept 40 - 15 = 25 packs of marbles.
The answer: 25
What was the question?
Question: Leo had 400 marbles in a jar. He packed the marbles with ten marbles in each pack, and he gave some of them to his two friends, Manny and Neil.  He gave Manny 1/4 of the number of packs of marbles, Neil received 1/8 of the number of packs of marbles, and he kept the rest. How many packs of marbles did Leo keep?


Reasoning and answer: First find how many ml of water Jason needs for 1 gram of charcoal: 30 ml / 2 grams = 15 ml / g. Then divide the amount of water Jason uses by the amount of water per gram of charcoal to find how much charcoal he uses: 900 ml / 15 ml / g = 60 g.
The answer: 60
What was the question?
Question:
Jason is mixing a batch of black paint. He needs to add 2 grams of charcoal for every 30 ml of water. If he adds 900 ml of water, how much charcoal does he add?