Reasoning and answer: Let d be the number of drunk drivers and s be the number of speeders. We know that d + s = 45 and s = 7d - 3. Substituting the second equation into the first equation, we get d + 7d - 3 = 45. Combining like terms, we get 8d - 3 = 45. Adding 4 to both sides, we get 8d = 48. Dividing both sides by 8, we get d = 6.
The answer: 6
What was the question?
Question: In a court-mandated traffic class, there are a certain number of drunk drivers and 3 less than 7 times that many speeders. If there are 45 students total, how many drunk drivers are there?


Each week, they watch 1 Monday + 2 Wednesday episodes = 3 episodes a week. If you take 201 total episodes / 3 episodes each week = 67 weeks to watch The Office series.
The answer: 67
Reverse engineering the question: Matt and Blake want to watch every episode of the show The Office. There are 201 episodes. If they watch 1 episode every Monday and 2 episodes every Wednesday each week, how many weeks will it take them to watch the whole series?


Reasoning and answer: The first group uses a total of 10 students * 2 markers = 20 markers. The second group uses a total of 15 students * 4 markers = 60 markers. This is a total of 20 + 60 = 80 markers. The total number of markers in the boxes is 5 markers * 22 boxes = 110 markers. This leaves 110 – 80 = 30 markers for the last group to split between themselves. The last group is made up of 30 total students – 10 students in the first group – 15 students in the second group = 5 students. Therefore, students in the last group receive 30 markers / 5 students = 6 markers each.
The answer: 6
What was the question?
Question: A class is completing an art project. Each of the 30 students is assigned to a separate group and will need to take markers from the 22 boxes of markers. The first group has 10 students who will have 2 markers each and the second group has 15 students who will have 4 markers each. The last group takes the remaining markers and divides them equally. If each box of markers contains 5 markers, how many markers does each of the students in the last group receive?


When John gives his sister 1 / 4 of his money, he parts with 1 / 4 * 100 = 25 dollars. Johns remains with 100 - 25 = 75 dollars. When he buys groceries worth $40, he remains with 75 - 40 = 35 dollars.
The answer: 35
Reverse engineering the question: John receives $100 from his uncle and gives his sister Jenna 1/4 of that money. He goes and buys groceries worth $40. How much money does John have remaining?


Reasoning and answer: On the second day he wrote twice the amount as the first day, which was 25 pages so 2 * 25 = 50 pages. On the third day he wrote twice the amount as he did on the second day, which was 50 pages so 2 * 50 = 100 pages. The first day he wrote 25, then 50, then 100 and 10 on the fourth day for a total of 25 + 50 + 100 + 10 = 185. He needs to write 500 pages and has written 185 which means he has 500 - 185 = 315 more pages to write.
The answer: 315
What was the question?
Question: Cyrus has been contracted to write a 500 page book. On his first day, he writes 25 pages and twice that amount on the second day. On the third day he is able to write twice the amount that he did on the second day. On the fourth day, he gets writer's block and is only able to write 10 pages. How many more pages does he need to write?


Reasoning and answer: Some of the pool floats were damaged, which means that 120 / 4 = 30 pool floats were discarded. This left the class with 120 – 30 = 90 pool floats that were actually part of the donations they need to organize. This means there were a total of 60 basketball hoops + 90 pool floats + 50 footballs + 40 tennis balls = 240 donations that were not basketballs. So out of the donations, there were 300 donations – 240 = 60 basketballs. In addition, half of the basketball hoops were donated with a basketball included which amounts to 60 basketball hoops / 2 = 30 basketballs. There was therefore a total of 60 + 30 = 90 basketballs donated.
The answer: 90
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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A school is getting ready to open for the year and the sports class is organizing the equipment they have been donated. In total, they have 300 donations to organize. 60 of these were basketball hoops, half of which also had basketballs included as part of the donation. 120 pool floats were donated, but a quarter of these were damaged and were discarded before the sports class arrived. There were 50 footballs, 40 tennis balls, and the remaining donations were basketballs. In total, how many basketballs have been donated?