 Scan QR code or get instant email to install app

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
explanation

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: $\frac{\mathrm{30} }{\mathrm{100}} \times [x+(x+2000)] = x$
$\frac{\mathrm{30} }{\mathrm{100}} \times [2x+(2000)] = x$
$\frac{\mathrm{60x+60000} }{\mathrm{100} } = x$
$60x+60,000=100x$
$100x–60x=60,000$
$40x=60,000$
$x = 1,500$, 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

### Related Information Bebe____

4 years ago

I think this is a good app to use to review for the ATI TEAS. CupcakeTurner

4 years ago

I feel confident that adding this app to my studying regimen will enable me to score well on the TEAS. Shelly84852

4 years ago

This app is great practice.