celeste organizes a library shelf with 90 books, where there are 4 fiction books for every 5 non - fiction…

celeste organizes a library shelf with 90 books, where there are 4 fiction books for every 5 non - fiction books. how many non - fiction books are on the shelf?

celeste organizes a library shelf with 90 books, where there are 4 fiction books for every 5 non - fiction books. how many non - fiction books are on the shelf?

Answer

Explanation:

Step1: Find the total parts in the ratio

The ratio of fiction to non - fiction books is (4:5). So the total number of parts in the ratio is (4 + 5=9) parts.

Step2: Find the value of one part

There are a total of 90 books. Since there are 9 parts in total, the value of one part is (\frac{90}{9} = 10) books per part.

Step3: Calculate the number of non - fiction books

The number of non - fiction books corresponds to 5 parts. So the number of non - fiction books is (5\times10 = 50) books.

Answer:

50