Let x represent the number of homework points. Quiz:x + 5. Test:4(x + 5) = 4x + 20. Total:x + x + 5 + 4x + 20 = 265. 6x + 25 = 265. 6x = 240. x = 40 points.
The answer: 40
Reverse engineering the question: Paul, a biology teacher, assigns 265 points in the first quarter. There are 4 times as many test points as quiz points, and 5 more quiz points than homework points. How many homework points are there in the first quarter?


Reasoning and answer: Alissa folding it 3 times makes 2 × 2 × 2 = 8 pieces of note - size paper per letter - size paper. So 5 pieces of letter - size paper make 5 × 8 = 40 pieces of note - size paper. 1 note pad would last 40 ÷ 10 = 4 days if someone wrote 10 notes a day.
The answer: 4
What was the question?
Question: Alissa used discarded paper to make notepads for her friends. She would fold 5 pieces of letter-size paper 3 times then cut along the edges to form smaller note papers. She would then stack these smaller note papers and staple them together. How long would 1 notepad last if someone wrote 10 notes per day?


50% of the vote is 100 votes because 200 x .5 = 100. Just over 50% is 101 votes because 100 + 1 = 101. 120 students are boys because 200 x .6 = 120. 80 students are girls because 200 - 120 = 80. She gets 81 votes from boys because 120 x .675 = 81. She needs 20 votes from girls because 101 - 81 = 20. She needs a proportion of .25 of girl's votes to win because 20 / 80 = .25. The percentage she needs is 25 because 100 x .25 = 25.
The answer: 25
Reverse engineering the question: June is running for class president. She needs just over 50% of the vote to win. There are 200 students in the school. 60% of students are boys and the rest are girls. If she receives 67.5% of male vote, what is the smallest percentage of the female she must receive to win the election?


Reasoning and answer: First find the total number of blisters on Brenda's arms: 60 blisters / arm * 2 arms = 120 blisters. Then add the blisters on the rest of her body to find the total: 120 blisters + 80 blisters = 200 blisters.
The answer: 200
What was the question?
Question: Brenda catches smallpox. She has 60 blisters on each arm and 80 blisters on the rest of her body. How many blisters does she have in total?


In the first semester, she scored 80 + 10 = 90 marks in maths. She also scores 90 - 15 = 75 marks in arts in the first semester. She scored 1 / 3 marks less in science in the first semester than the second, which is 1 / 3 * 90 = 30. Her score in science in the first semester is 90 - 30 = 60. The total for the first semester is 90 + 75 + 60 = 225. The total for the second semester is 90 + 90 + 80 = 260. The combined marks for all the semesters in 260 + 225 = 485.
The answer: 485
Reverse engineering the question: Eva learns for two semesters in a year. In 2019, she scored ten more marks in maths in the first semester than the second, 15 marks less in arts, and 1/3 marks less in science in the first semester than the second. If she got 80 marks in maths in the second semester, 90 marks in arts, and 90 in science, what's the total number of her marks in all the semesters?


First find how many hours of runoff the sewers can handle: 240,000 / 1000 gallons / hour = 240 hours. Then divide that time by the number of hours per day to find how many days of rain the sewers can handle: 240 hours / 24 hours / day = 10 days.
The answer: 10
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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The sewers in Middleton can handle 240,000 gallons of run-off. Each hour of rain produces 1000 gallons of runoff. How many days of rain can the sewers handle before they overflow?