Question

You mix 4/5 quart of blue paint for every 1/3 quart of red paint to make 3 2/5 quarts of purple paint. How much blue paint and how much red paint do you use?

Answer 1

1 quarts of red paint

2.4 quarts of blue paint

Explanation:

Let :

a = quarts of blue paint

b = quarts of red paint

a + b = 3 2/5

a + b = 3.4 - - - (1)

Ratio of a and b :

a/b = 4/5 ÷ 1/3 = 4/5 * 3/1 = 2.4

a/b = 2.4

a = 2.4b - - (2)

From (1)

2.4b + b = 3.4

3.4b = 3.4

b = 1

a + b = 3.4

a + 1 = 3.4

a = 3.4 - 1

a = 2.4