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
[tex]Fiction\ books = \frac{3}{8}x[/tex]
There are 44 books in the school library
Therefore,
Non fiction books + fiction books = 44
[tex]x + \frac{3x}{8} = 44\\\\\8x + 3x = 44 \times 8\\\\11x = 44 \times 8\\\\x = 4 \times 8\\\\x = 32[/tex]
How many books are fiction books?
[tex]Fiction\ books = \frac{3}{8}x = \frac{3 \times 32 }{8} = 12[/tex]
Thus there are 12 fiction books in library
