Question

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?

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