He increases his sleep by 6 / 3 = 2 hour per night. So he now gets 6 + 2 = 8 hours of sleep per night.
The answer: 8
Reverse engineering the question: Tom has only been getting 6 hours of sleep a day. He increases that by 1/3. How many hours of sleep does he get per night?


Reasoning and answer: The number of students who like the color blue is 30 / 100 * 200 = 60. Out of the 200 students in the class, 200 - 60 = 140 don't like the color blue. Among the students who don't like the color blue, 40 / 100 * 140 = 56 students like the color red. If the rest of the students like neither blue nor red and only like the color yellow, their number is 140 - 56 = 84. The total number of students who like the color yellow and those who like the color blue is 84 + 60 = 144.
The answer: 144
What was the question?
Question: Out of the 200 students in a class, thirty percent like the color blue. Among the remaining students who don't like the color blue, 40% like the color red, and the rest like the color yellow. Calculate the combined number of students who like the color yellow and the color blue.


Let c be the number of cucumbers and t the number of tomatoes. The total is the sum of the number of cucumbers and that of tomatoes, which is c + t = 280 piece of vegetables. Since there are thrice as many tomatoes as cucumbers, this means c = t / 3. Therefore 3 * c = t. The sum will therefore be c + 3 * c = 280 pieces of vegetables. This means that 4 * c = 280 vegetables. Therefore c = 280 / 4 = 70 cucumbers.
The answer: 70
Reverse engineering the question: Barry wants to make a huge salad using only cucumbers and tomatoes. He will use a total of 280 pieces of vegetables. If there are thrice as many tomatoes as cucumbers, how many cucumbers will be used in the salad?


Reasoning and answer: Abigail collected 2 * 48 = 96 cookies. There are 48 / 4 = 12 cookies in a quarter of a box. Grayson collected 12 * 3 = 36 cookies. Olivia collected 48 * 3 = 144 cookies. In total they collected 96 + 36 + 144 = 276 cookies.
The answer: 276
What was the question?
Question: Abigail collected 2 boxes of cookies for the bake sale. Grayson collected 3 quarters of a box, and Olivia collected 3 boxes. Assuming that each box contains 48 cookies, how many cookies did they collect in total?


It will be 90 degrees for 80% of the 15 weeks, for a total of 0.8 * 15 = 12 weeks. It will be 100 degrees F for the remainder of the 15 weeks, or 15 - 12 = 3 weeks. During the 12 weeks when it averages 90 degrees F, he will eat 4 crickets per week for a total of 12 * 4 = 48 crickets. When it averages 100 degrees F, he eats twice as many crickets per week as when it averages 90 degrees F per week, for a total of 2 * 4 = 8 crickets per week. During these 3 weeks, he will eat 8 * 3 = 24 crickets. Therefore, over the 15 weeks, he will eat a total of 48 + 24 = 72 crickets.
The answer: 72
Reverse engineering the question: Gilbert, the bearded dragon, eats 4 crickets per week when the temperature averages 90 degrees F per day, but he eats twice as many crickets per week when the temperature averages 100 degrees F. How many crickets will he eat over 15 weeks if the temperature averages 90 degrees F for 80% of the time, and 100 degrees F for the remainder of the time?


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
Reverse engineering the question:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
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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?