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: 16

Step-by-step explanation:

Let the number of non-fiction books be x .

Then the number of fiction books=$\frac{2}{5}x$

Since, there are 56 books in the school library.

Then, $\\\Rightarrow\frac{2}{5}x+x=56$

$\frac{2x+5x}{5}=56\\\Rightarrow\ \frac{7x}{5}=56\\\Rightarrow\ x=\frac{56\times5}{7}\\\Rightarrow\ x=40$

Hence, the number of non fiction books = 40

Therefore, the number of fiction books = $\frac{2}{5}40=16$

Answer 2

Based on the information given, the number of fiction books will be 22.

• Based on the information given, it was stated that there are 2/ 5 as many fiction books as there are nonfiction books and there are 56 books in the school library.

• Therefore, the number of fiction books will be:

= 2/5 × 56

= 22

Therefore, there are 22 fiction books.

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