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Murljashka [212]
3 years ago
15

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 book?
Mathematics
1 answer:
Delicious77 [7]3 years ago
3 0
ANSWER

There are 16 fiction books

EXPLANATION

Let the number of nonfiction books be

n

Then the number of fiction books is

f=\frac{2n}{5}

If there are 56 books in the library, then

n + f= 56

This implies that,

n + \frac{2n}{5} = 56

Multiply through by 5 to get,

5n + 2n = 280

7n= 280

Divide through by 7 to get,

n = \frac{280}{7}

n= 40

Therefore the number of fiction books

f=\frac{2\times40}{5}=16

Or

f=56 - 40 = 16
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