Question

In the library at Lenape Elementary School, there are 2 5 as many fiction books as there are nonfiction books. There are 56 books in the school library. How many books are fiction books?

Answer 1

Answer:

There are 16 fiction books in the library.

Step-by-step explanation:

We are given the following in the question:

Let x be the number of fiction books and y be the number of non fiction books.

Total number of books = 56

Thus, we can write the equation:

$x+y = 56$

There are $\frac{2}{5}$ as many fiction books as there are nonfiction books.

Thus, we can write the equation:

$x = \dfrac{2}{5}y$

Solving the two equations by substitution, we get,

$\dfrac{2}{5}y + y = 56\\\\\dfrac{7}{5}y = 56\\\\y = 56\times \dfrac{5}{7}\\\\y = 40$

Thus, there are 40 non fiction books.

Number of fiction books =

$x = 56 - 40 = 16$

Thus, there are 16 fiction books in the library.