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 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 = (3)/(8)x`

There are 44 books in the school library

Therefore,

Non fiction books + fiction books = 44

`x + (3x)/(8) = 44\\\\\8x + 3x = 44 * 8\\\\11x = 44 * 8\\\\x = 4 * 8\\\\x = 32`

How many books are fiction books?

`Fiction\ books = (3)/(8)x = (3 * 32 )/(8) = 12`

Thus there are 12 fiction books in library