Question

A library contains 2000 books. There are 3 times as man non fiction books. Write and solve a systems of equations to determine the number of nonfiction and fiction books.

Answer 1

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 $x.$

And the non fiction books be $3x.$

Total books = 2000.

Now, to get the number of non fiction books and fiction books we put an equation:

$3x+x=2000.$

$4x=2000.$

Dividing both sides by 4 we get:

$x=500.$

Fiction books = 500.

Non fiction books = $3x=3\times 500=1500.$

Therefore, the number of fiction books is 500 and non fiction books is 1500.