A shade of purple is made with 4 ounces of red paint, 5 ounces of blue paint, 2 ounces of white paint How many ounces of blue paint are needed to make an 88 ounce batch of paint?

40 ounces.

Step-by-step explanation:

We are going to find this by using ratios.

Given that we have 4 ounces of red paint, 5 ounces of blue paint, and 2 ounces of white paint. The total ounces of paint in a shade of purple is 4 + 5 + 2 = 11.

The fraction of the paint that is blue is thus ounce of blue paint/total ounce of paint = 5/11

So, the number of ounces of blue paint are needed to make an 88 ounce batch of paint is fraction of blue paint × 88 ounces = 5/11 × 88

= 5 × 8

= 40 ounces.