Question

A certain shade of light red pains t is made by mixing 1 and 1/2 quarts of red paint with 12 quarts of white paint. How much paint would you need to mix with 4 quarts of red paint.

Answer 1

32 quarts

Explanation:

Amount of red paint used
`r=1(1)/(2)=(3)/(2)\ \text{quarts}`

Amount of white paint used
`w=12\ \text{quarts}`

Ratio of red paint to white paint is

`(r)/(w)=((3)/(2))/(12)=(1)/(8)`

Amount of red paint used later is
`4\ \text{quarts}`

`(r)/(w)=(1)/(8)\\\Rightarrow (4)/(w)=(1)/(8)\\\Rightarrow w=8* 4=32\ \text{quarts}`

The amount of white paint used is 32 quarts.