Question

In the library at lenape elementary school there are 2/5 as many fiction books as there are nonfiction books. There are 56 books in the school library. How many books are fiction book?

Answer 1

ANSWER

There are 16 fiction books

Step-by-step explanation

Let the number of nonfiction books be


`n`

Then the number of fiction books is


`f=(2n)/(5)`

If there are 56 books in the library, then


`n + f= 56`

This implies that,


`n + (2n)/(5) = 56`

Multiply through by 5 to get,


`5n + 2n = 280`


`7n= 280`

Divide through by 7 to get,


`n = (280)/(7)`


`n= 40`

Therefore the number of fiction books


`f=(2*40)/(5)=16`

Or


`f=56 - 40 = 16`