Answer:
We will need [tex]13\frac{1}{3}[/tex] quarts of white paint to mix with 4 quarts of blue paint to make the required shade of blue.
Step-by-step explanation:
A certain shade of blue is made by mixing [tex]1\frac{1}{2}[/tex] quarts of blue paint with 5 quarts of white paint. This means the ratio of quantity of blue paint to white paint is:
[tex]1\frac{1}{2}:5\\\\ \frac{3}{2}:5\\\\ 3:10[/tex]
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
[tex]3:10 = 4:x\\\\\frac{3}{10}=\frac{4}{x}\\\\ 3x=40\\\\ x=\frac{40}{3}\\\\ x=13\frac{1}{3}[/tex]
This mean we will need [tex]13\frac{1}{3}[/tex] quarts of white paint to mix with 4 quarts of blue paint to make the required shade of blue.
