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Question:

In a library, 30% of the books are fiction and the rest are non-fiction. Given that there are 2,000 more non-fiction books than fiction books, what is the total number of books in the library?

A
5,000

Explaination

Let: x be the number of fiction books in the library

x + 2,000 = the number of nonfiction books

Total number of books = x + (x + 2,000)

The problem says that 30% of the total number of books are fiction

Therefore: $1638_w209_h38.png$

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60x+60,000=100x

100x–60x=60,000

40x=60,000

x = 1,500, the number of fiction books

x + 2,000 = 1,500 + 2,000 = 3,500, the number of nonfiction books

1,500 + 3,500 = 5,000, the total number of books in the library

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