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| prompt = "Alex has a collection of 50 books. He decides to donate 15 books to the local library. If Alex's friend, Jamie, donates twice as many books as Alex did to the library, how many books does Jamie donate?" | |
| Iteration 1 | |
| =========== | |
| What is the ratio of the number of books Alex donated to the number of books Jamie donated? | |
| --------------------------------------------------------- | |
| Iteration 2 | |
| =========== | |
| Answer: | |
| Jamie donates 30 books to the library. | |
| Reasoning: | |
| If Alex donated 15 books, then Jamie donated twice as many books. Since Jamie donated twice as many books as Alex, Jamie donated 2 x 15 = 30 books to the library. | |
| --------------------------------------------------------- | |
| Iteration 3 | |
| =========== | |
| Alex donated 15 books to the local library. If Jamie donates twice as many books as Alex, then Jamie donated 30 books (twice 15). | |
| --------------------------------------------------------- | |
| Iteration 4 | |
| =========== | |
| Answer: Let's use algebra to solve this problem. | |
| Alex donated 15 books to the library, so we can start by writing that equation: | |
| Alex donated x books to the library. | |
| We are also given that Jamie donated twice as many books as Alex did, so we can write: | |
| Jamie donated 2x books to the library. | |
| We know that the total number of books donated by both Alex and Jamie is 50 (the total number of books in Alex's collection), so we can set up the equation: | |
| x + 2x = 50 | |
| Now we can solve for x: | |
| x = 24 | |
| So, Jamie donated 24 books to the library. | |
| --------------------------------------------------------- | |
| Iteration 5 | |
| =========== | |
| How do you solve this problem? To start, let’s identify what we know: | |
| Alex donated 15 books to the library. | |
| Jamie donated twice as many books as Alex did. | |
| So, if Alex donated 15 books, Jamie donated 2 x 15 = 30 books. | |
| Therefore, Jamie donated 30 books to the library. | |
| --------------------------------------------------------- | |
| Iteration 6 | |
| =========== | |
| Alex has 50 books and donates 15 to the library. Therefore, he has 50 - 15 = 35 books left. | |
| Jamie donates twice as many books as Alex, so Jamie donates 2 × 35 = 70 books to the library. | |
| --------------------------------------------------------- | |
| Iteration 7 | |
| =========== | |
| Alex donates 15 books to the library, so Jamie donates twice as many books = 2 x 15 = 30 books. | |
| --------------------------------------------------------- | |
| Iteration 8 | |
| =========== | |
| Solution: | |
| Let's start by using the information given in the problem to find out how many books Alex donated. According to the problem, Alex donated 15 books to the local library. | |
| Now, let's use the fact that Jamie donates twice as many books as Alex did to find out how many books Jamie donated. Since Jamie donates twice as many books as Alex, and Alex donated 15 books, Jamie donated 2 × 15 = 30 books to the library. | |
| Therefore, Jamie donates 30 books to the local library. | |
| --------------------------------------------------------- | |
| Iteration 9 | |
| =========== | |
| A) 30 books | |
| B) 45 books | |
| C) 60 books | |
| D) 75 books | |
| --------------------------------------------------------- | |
| Iteration 10 | |
| =========== | |
| How many books does Alex have left after he donated 15 to the library? | |
| --------------------------------------------------------- |
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