Question

In the library at lenape elmentary school, there are 3/8 as, many fiction books as there are nonfiction books. There are 44 books in school library. How many booka are fiction books

Answer 1

12 fiction books.

Explanation:

Let b represent number of non-fiction books.

We have been given that in the library at Lenape elementary school, there are 3/8 as many fiction books as there are nonfiction books. So number of fiction books would be
`(3)/(8)x`.

We are also told that there are 44 books in school library. We can represent this information in an equation as:

`x+(3)/(8)x=44`

Let us solve for x.

`(8x)/(8)+(3)/(8)x=44`

`(8x+3x)/(8)=44`

`(11x)/(8)=44`

`(11x)/(8)\cdot (8)/(11)=44\cdot(8)/(11)`

`x=4\cdot 8`

`x=32`

Therefore, there are 32 non fiction books in the library.

Number of fiction books would be
`(3)/(8)x\Rightarrow (3)/(8)*32=3*4=12`

Therefore, there are 12 fiction books in the library.