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To win the annual read-a-thon at his school, Miguel has to read more books than any of his classmates over winter break. He starts by reading a lot of sports books. Then, he reads 88 mystery books. In all, Miguel reads 2424 books for the read-a-thon. Which equation can you use to find the number of sports books nn Miguel reads?

Full solution

Q. To win the annual read-a-thon at his school, Miguel has to read more books than any of his classmates over winter break. He starts by reading a lot of sports books. Then, he reads 88 mystery books. In all, Miguel reads 2424 books for the read-a-thon. Which equation can you use to find the number of sports books nn Miguel reads?
  1. Reads 2424 books: Miguel reads 2424 books in total.
  2. Reads 88 mystery books: He reads 88 mystery books.
  3. Let nn be sports books: Let nn be the number of sports books.
  4. Total books equation: Total books=sports books+mystery books\text{Total books} = \text{sports books} + \text{mystery books}
  5. Solve for n n : So, n+8=24 n + 8 = 24
  6. Final result: Solve for nn: n=248n = 24 - 8
  7. Final result: Solve for n n : n=248n=16 n = 24 - 8n = 16

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