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

Answer:

12 fiction books.

Step-by-step 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 $\frac{3}{8}x$.

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

$x+\frac{3}{8}x=44$

Let us solve for x.

$\frac{8x}{8}+\frac{3}{8}x=44$

$\frac{8x+3x}{8}=44$

$\frac{11x}{8}=44$

$\frac{11x}{8}\cdot \frac{8}{11}=44\cdot\frac{8}{11}$

$x=4\cdot 8$

$x=32$

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

Number of fiction books would be $\frac{3}{8}x\Rightarrow \frac{3}{8}*32=3*4=12$

Therefore, there are 12 fiction books in the library.