Question

A bookshop has some fiction and non books. 2/5 of the books are fiction books. Of these, 1/5 are mystery stories. 1/3 of the non fiction books are mystery stories too. What fraction of all the books in the shop are mystery books?

Answer 1

1/3 out of all the books

Answer 2

1/3 of all of the books

Explanation:

5/5 - (2/5 +1/5) =2/5

2/5(1/3) = 2/15 nonfiction mystery books

2/15 + 1/5 = mystery books

1/5 = 3/15

2/15 + 3/15 = 5/15

5/15 = 1/3