Question

A certain shade of green is 2/3 part blue for every 2/5 part yellow. What fraction of yellow paint is used for every 1 part blue paint?

a) 4/15
b) 1/5
c) 5/4
d) 2/3

Answer 1

The fraction of yellow paint used for every 1 part blue paint is 2/3.

Step-by-step explanation:

To find the fraction of yellow paint used for every 1 part blue paint, we need to first convert the given ratio into fractions.

Given: 2/3 part blue for every 2/5 part yellow

This means that for every 2 parts yellow, there are 3 parts blue. So, the ratio can be written as 2/5 yellow for every 3/5 blue. We can simplify this to 2/5 yellow for every 3/5 blue. Therefore, the fraction of yellow paint used for every 1 part blue paint is 2/3.