Question

In the library at Lenape Elementary School, there are

Answer 1

Question:

In the library at Lenape Elementary School, there are 3/8  as many fiction books as there are nonfiction books. There are 44 books in the school library. How many books are fiction books?

Answer:

There are 12 fiction books in library

Solution:

Let "x" be the number of non fiction books

Then given that,

There are 3/8  as many fiction books as there are nonfiction books

$Fiction\ books = \frac{3}{8}x$

There are 44 books in the school library

Therefore,

Non fiction books + fiction books = 44

$x + \frac{3x}{8} = 44\\\\\8x + 3x = 44 \times 8\\\\11x = 44 \times 8\\\\x = 4 \times 8\\\\x = 32$

How many books are fiction books?

$Fiction\ books = \frac{3}{8}x = \frac{3 \times 32 }{8} = 12$

Thus there are 12 fiction books in library