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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
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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