Question

You mix 1/ 3cup of blue paint for every 2/ 3cup of yellow paint to make green paint. You use 4 cups of yellow paint. How much blue paint do you use?

Answer 1

You will use 2 cups of blue paint for 4 cups of yellow paint.

Explanation:

Given that:

There is 1/3 cup of blue paint for every 2/3 cup of yellow paint

We will find unit rate in terms of yellow paint.

2/3 cups of yellow paint = 1/3 cup of blue paint

Multiplying both sides by 3/2

`(2)/(3)*(3)/(2)=(1)/(3)*(3)/(2)\\1\ cup\ of\ yellow\ paint = (1)/(2)\ cup\ of\ blue\ paint`

Now,

4 cups of yellow paint =
`4*(1)/(2)` cups of blue paint

4 cups of yellow paint = 2 cups of blue paint

Hence,

You will use 2 cups of blue paint for 4 cups of yellow paint.