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

There are 16 fiction books in the library at Lenape Elementary School.

Step-by-step explanation:

To calculate the number of fiction books in the library, we need to determine the ratio of fiction books to nonfiction books. We are given that there are 2/5 as many fiction books as nonfiction books. Let's represent the number of nonfiction books as x. Then, the number of fiction books can be calculated as 2/5 * x.

We also know that the total number of books in the library is 56. So, x + 2/5 * x = 56. Simplifying, we have 5/5 * x + 2/5 * x = 56 which gives us 7/5 * x = 56.

To solve for x, we can multiply both sides of the equation by 5/7. This gives us x = 56 * 5/7 = 40.

Therefore, there are 40 nonfiction books in the library. To find the number of fiction books, we can substitute the value of x into the equation for fiction books and calculate: 2/5 * 40 = 16.

So, there are 16 fiction books in the library.

Answer 2

Answer: 16

Step-by-step explanation:

Let the number of non-fiction books be x .

Then the number of fiction books=
`(2)/(5)x`

Since, there are 56 books in the school library.

Then,
`\\\Rightarrow(2)/(5)x+x=56`

`(2x+5x)/(5)=56\\\Rightarrow\ (7x)/(5)=56\\\Rightarrow\ x=(56*5)/(7)\\\Rightarrow\ x=40`

Hence, the number of non fiction books = 40

Therefore, the number of fiction books =
`(2)/(5)40=16`