Solution:
we are given that
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.
we have been asked to find How many books are fiction books?
Let there are x non fiction books in the library. Then there will be [tex] \frac{3}{8}x [/tex] fiction books.
Hence we can write
[tex] x+\frac{3}{8}x=44\\\\\text{Now solve for x}\\\\\frac{8x+3x}{8}=44\\\\\frac{11x}{8}=44\\\\11x=44*8\\\\x=\frac{44*8}{11}\\\\x=4*8=32\\ [/tex]
Hence there are 32 non-fiction books in the library.
and 44-32=12 fiction books in the library.