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?

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.