Answer:
The number of fiction books is 500 and non fiction books is 1500.
Step-by-step explanation:
Given:
Total book library contains = 2000.
There are 3 times as many non fiction books as fiction books.
Now, to determine the number of non fiction books and fiction books.
Let the fiction books be [tex]x.[/tex]
And the non fiction books be [tex]3x.[/tex]
Total books = 2000.
Now, to get the number of non fiction books and fiction books we put an equation:
[tex]3x+x=2000.[/tex]
[tex]4x=2000.[/tex]
Dividing both sides by 4 we get:
[tex]x=500.[/tex]
Fiction books = 500.
Non fiction books = [tex]3x=3\times 500=1500.[/tex]
Therefore, the number of fiction books is 500 and non fiction books is 1500.