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

Respuesta :

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

[tex]5x+2x=1421[/tex]

[tex]7x=1421[/tex]

[tex]x=\dfrac{1421}{7}[/tex]

[tex]x=203[/tex]

Now,

Number of fiction books : [tex]5(203)=1015[/tex]

Number of non-fiction books : [tex]2(203)=406[/tex]

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