Final answer:
The artist should buy 12 ounces of yellow paint to mix with blue at a 3 to 5 ratio in order to make 32 ounces of a certain shade of paint.
Step-by-step explanation:
The artist wants to mix yellow paint with blue paint to make a certain shade of paint, using a ratio of 3 to 5. For a total quantity of 32 ounces of paint, we need to find out how much yellow paint is required.
We start by adding the parts of the ratio together: 3 (yellow) + 5 (blue) = 8 parts in total. Since the artist needs 32 ounces of paint, we divide this total by the number of parts in the ratio to find out the quantity represented by one part. So, 32 ounces divided by 8 parts is equal to 4 ounces per part.
As yellow is 3 parts of the ratio, we take the 4 ounces per part and multiply by 3 to find the quantity of yellow paint needed: 3 parts × 4 ounces/part = 12 ounces of yellow paint.
Therefore, the artist should buy 12 ounces of yellow paint.