Question

To make a shade of paint called "Kimberlin Blue" for your carnival background, you mix 6 quarts of blue paint with 3/4 cups of black paint. How much blue paint would be needed to mix with 3 cups of black paint to make Kimberlin Blue?

Answer 1

24 quarts of blue paint would be needed to mix with 3 cups of black paint to make Kimberlin Blue

Explanation:

According to the question when 6 quarts of blue paint is mixed with ¾ cups of black paint we get Kimberlin blue colour.

So, the amount of blue paint needed to be mixed with 3 cups of black paint will be:

`\rm \implies (3)/(4) \: cups \: of \: black \:paint = 6 \: quarts \: of \: blue \: paint \\ \\ \rm \implies 1 \: cup \: of \: black \:paint = (6)/( (3)/(4) ) \: quarts \: of \: blue \: paint \\ \\ \rm \implies 1 \: cup \: of \: black \:paint = (6 * 4)/(3) \: quarts \: of \: blue \: paint \\ \\ \rm \implies 1 \: cup \: of \: black \:paint = 8 \: quarts \: of \: blue \: paint \\ \\ \rm \implies 3 \: cups \: of \: black \:paint = 8 * 3 \: quarts \: of \: blue \: paint \\ \\ \rm \implies 3 \: cups \: of \: black \:paint = 24 \: quarts \: of \: blue \: paint`

Answer 2

Answer: 24 quarts of blue paint

Explanation:

1. divide both 3/4 and 6 by 2 to get 1/4 and 2

2. multiple both by 4 to get 1 and 8

3. you have 1 cup of black paint per 8 quarts of blue paint.

4. multiply by 3 to get 3 cups of black paint and 24 quarts of blue paint