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.