Reasoning and answer: First add the fractions of vaccinated and recovered townspeople: 1 / 3 + 1 / 3 = 2 / 3. Then you need to subtract the fraction that are both vaccinated and recovered, since they were double - counted. To do this, start by converting 2 / 3 to the same denominator as 1 / 6: 2 / 3 * 2 / 2 = 4 / 6. Then subtract 1 / 6 from 4 / 6: 4 / 6 - 1 / 6 = 3 / 6. Then divide the numerator by the denominator and multiply by 100% to express the answer as a percentage: 3 / 6 * 100% = 50%.
The answer: 50
What was the question?
Question: 1/3 of the townspeople have received the full COVID vaccine. 1/3 are immune because they already recovered from COVID. If 1/6 of the townspeople are both vaccinated and already had COVID, what percent of the town is immune in some way?


Sophie has 4 - 1 = 3 boxes of donuts left. The total number of pieces of donuts that she has is 3 x 12 = 36. She gave 12 / 2 = 6 donuts to her sister. Therefore Sophie was left with 36 - 6 = 30 donuts after giving her sister.
The answer: 30
Reverse engineering the question: Sophie went to the Dunkin Donuts store and bought 4 boxes of donuts. There were 12 donuts in each box. She gave 1 box to her mom and half a dozen to her sister. How many donuts were left for her?


Reasoning and answer: Ella wanted 2 while Emma wanted 2 so 2 + 2 = 4 hotdogs. Luke could eat twice as his sisters so 2 * 2 = 4 hotdogs. Hunter could eat 1 1 / 2 times the amount of his sisters so 1.5 * 4 = 6 hotdogs. All total, Matthew needs to cook, 4 + 4 + 6 = 18 hot dogs.
The answer: 14
What was the question?
Question: Matthew asked his children how many hotdogs they wanted for dinner. Both Ella and Emma agreed they wanted 2 hotdogs each. Luke said he could eat twice the amount of hotdogs as his sisters while Hunter said he could only eat 1 and half times the total amount of his sisters. How many hotdogs did Matthew need to cook?


If Darius scored 10 points, then Marius scored 10 + 3 = 13 points in total. Darius scored 5 points less than Matt, so Matt scored 10 + 5 = 15 points in total. So all three friends gathered 13 + 15 + 10 = 38 points.
The answer: 38
Reverse engineering the question: Darius, Matt, and Marius are friends, who played table football. During all the games they played, Marius scored 3 points more than Darius, and Darius scored 5 points less than Matt. How many points did all three friends score together, if Darius scored 10 points?


Reasoning and answer: First, subtract the number of days Jenna can't read from the number of days in September: 30 days - 4 days = 26 days. Then subtract the one day when Jenna will read 100 pages: 26 days - 1 day = 25 days. Now subtract the 100 pages Jenna will read on her flight from her overall goal: 600 pages - 100 pages = 500 pages. Finally, divide that number of pages by the number of days Jenna will read the standard amount: 500 pages / 25 days = 20 pages per day.
The answer: 20
What was the question?
Question: Jenna sets a goal of reading 600 pages a month for the month of September (which has 30 days). She knows that she'll be really busy at work the four weekdays starting on the 13th, so she won't have time to read. She can also read 100 pages on the 23rd, when she'll have a long boring flight. If she reads the same number of pages every other day, how many pages a day does she need to read?


Reasoning and answer: Betty's sister has 1 / 4 * 20 books = 5 more books. The total number of books Betty's sister has is 20 books + 5 books = 25 books. The total number of books the two have is 25 books + 20 books = 45 books.
The answer: 45
What was the question?
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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Betty has 20 books, and her sister has 1/4 times more books than Betty. What's the total number of books the two have?