Question

The ratio of the number of fiction books to the number of non-fiction books in a libary is 5:2 if there are 1421 fiction and non fiction books altoghter how many more fiction than non fiction books

Answer 1

Given:

The ratio of the number of fiction books to the number of non-fiction books in a library is 5:2.

Total number of books = 1421

To find:

The number of books of each type.

Solution:

Let the number of fiction books be 5x and number of non-fiction books be 2x.

Total number of books = 1421

`5x+2x=1421`

`7x=1421`

`x=(1421)/(7)`

`x=203`

Now,

Number of fiction books :
`5(203)=1015`

Number of non-fiction books :
`2(203)=406`

Therefore, the number of fiction and non-fiction books are 1015 and 406 respectively.