Reasoning and answer: Duke scored 22 points in the final game because 17 + 5 = 22. He scored 5 points of free - throws, because 5 x 1 = 5. He scored 8 points of regular baskets because 4 x 2 = 8. He made 9 points of three - pointers because 22 - 5 - 8 = 9. He scored 3 three - pointers in the final game because 9 / 3 = 3. Duke scored 1 more than normal because 3 - 2 = 1.
The answer: 1
What was the question?
Question: Going into the final game, Duke is so close to breaking the school's record for most points scored in a basketball season. He only needs 17 more points to tie the record. By the end of the game, Duke breaks the record by 5 points. The old record was 257 points. In the final game Duke made 5 free throws (worth one point), and 4 regular baskets (worth two points), and some three-pointers. Normally, he scores 2 three-pointers a game. How many more three-pointers did he score in the final game compared to his normal amount?


Jude visited 1 / 2 * 6 = 3 rehabilitation centers. Han visited 2 * 3 - 2 = 4 rehabilitation centers. Jane visited 6 + 2 * 4 = 14 rehabilitation centers. They all visited 6 + 3 + 4 + 14 = 27 rehabilitation centers.
The answer: 27
Reverse engineering the question: When Jane visited Iran, she visited 6 more than twice as many rehabilitation centers as Han. Han visited 2 less than twice as many rehabilitation centers as Jude did. Jude visited half fewer rehabilitation centers as Lisa did. If Lisa visited 6 rehabilitation centers, how many rehabilitation centers did they all visit assuming they are all different?


Reasoning and answer: Roseville city has 3 * 2000 - 500 = 5500 people. Sun City has 2 * 5500 + 1000 = 12000 people.
The answer: 12000
What was the question?
Question: Sun City has 1000 more than twice as many people as Roseville City. Roseville city has 500 less than thrice as many people as Willowdale city. If Willowdale city has 2000 people, how many people live in Sun City?


Darla:6 books. Katie:6 / 2 = 3 books. Gary: 5(6 + 3) = 45 books. 6 + 3 + 45 = 54 books.
The answer: 54
Reverse engineering the question: Darla has 6 books in her locker. Katie has half as many books as Darla, and Gary has 5 times the number of books that Darla and Katie have combined. How many books do the three have total?


Reasoning and answer: At the market, Mr. Shaefer sold half of the lychees, which is 1 / 2 * 500 = 250. The remaining number of lychees is 500 - 250 = 250. At home, they ate 3 / 5 * 250 = 150 lychees. The total number of lychees remaining is 250 - 150 = 100.
The answer: 100
What was the question?
Question: Mr. Shaefer harvested 500 lychees in a carton and took them to the market. He sold half of them and took home the remaining number of lychees where they ate 3/5 of them. Calculate the number of lychees remaining.


Reasoning and answer: Darla:6 books. Katie:6 / 2 = 3 books. Gary: 5(6 + 3) = 45 books. 6 + 3 + 45 = 54 books.
The answer: 54
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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Darla has 6 books in her locker. Katie has half as many books as Darla, and Gary has 5 times the number of books that Darla and Katie have combined. How many books do the three have total?