Question

You mix 1/2 quart of blue paint for every 1/3 quart of red paint to make 5 quarts of purple paint. How much blue paint and how much red paint do you use?

Answer 1

Answer:

3 quarts of blue paint and 2 quarts of red paint

Step-by-step explanation:

Let

x ---> quarts of blue paint

y ---> quarts of red paint

we know that

You make 5 quarts of purple paint

so

$x+y=5$ ----> equation A

The ratio of of blue paint to red paint is

$\frac{x}{y} =\frac{(1/2)}{(1/3)}$

$\frac{x}{y}=1.5$

$x=1.5y$ ----> equation B

Solve the system by substitution

substitute equation B in equation A

$1.5y+y=5$

solve for y

$2.5y=5\\y=2$

Find the value of x

$x=1.5(2)=3$

therefore

3 quarts of blue paint and 2 quarts of red paint