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

Answer:

32 quarts

Step-by-step explanation:

Amount of red paint used $r=1\dfrac{1}{2}=\dfrac{3}{2}\ \text{quarts}$

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

Ratio of red paint to white paint is

$\dfrac{r}{w}=\dfrac{\dfrac{3}{2}}{12}=\dfrac{1}{8}$

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

$\dfrac{r}{w}=\dfrac{1}{8}\\\Rightarrow \dfrac{4}{w}=\dfrac{1}{8}\\\Rightarrow w=8\times 4=32\ \text{quarts}$

The amount of white paint used is 32 quarts.