Question

A certain shade of light blue is made byixing 1 1/2 quarts of blue paint with 5 quarts of white paint. How much white paint would you need to mix with 4 quarts of blue paint?

Answer 1

6/5

Explanation:

Answer 2

We will need
`13(1)/(3)` quarts of white paint to mix with 4 quarts of blue paint to make the required shade of blue.

Explanation:

A certain shade of blue is made by mixing
`1(1)/(2)` quarts of blue paint with 5 quarts of white paint. This means the ratio of quantity of blue paint to white paint is:

`1(1)/(2):5\\\\ (3)/(2):5\\\\ 3:10`

If we want to prepare this certain shade then we have to maintain this ratio of blue paint to white paint. We have 4 quarts of blue paint and we need to find how many quarts of white paint we need. Let the amount of white paint needed be x quarts. So ratio of blue to white will be 4 : x

Since, this ratio must be equal to 3 : 10, we can set both ratios equal and find the value of x

`3:10 = 4:x\\\\(3)/(10)=(4)/(x)\\\\ 3x=40\\\\ x=(40)/(3)\\\\ x=13(1)/(3)`

This mean we will need
`13(1)/(3)` quarts of white paint to mix with 4 quarts of blue paint to make the required shade of blue.