Question

You mix 2/3 quart of blue paint for every 3/4 quart of red paint to make 4 quarts of purple paint. How

much blue paint and How much red paint do you use?

Answer 1

1.8828 quarts of blue paint

2.1172 quarts of red paint

(check the explanation for more round off variations)

Explanation:

Convert both fractions to decimals

`(2)/(3)` = 0.667

`(3)/(4)` = 0.75

Then turn the decimals to percentages

66.7%

75%

Then rewrite it as a fraction to find the missing percentages

75% : 1.417 = x : 1

Solve for x

x = 52.93

Then do this again for 66.7%

66.7% : 1.417 = x : 1

Solve for x

x = 47.07

Then find the values of these percentages relating to 1

47.07% of 1 is 0.4707

52.93% of 1 is 0.5293

Now we have how much blue paint and red paint is in each quart of purple paint

Multiply them by 4 to get the total

0.4707 x 4 = 1.8828

0.5293 x 4 = 2.1172

Now we have:

1.8828 quarts of blue paint

2.1172 quarts of red paint

Now if you want it to be rounded off to the nearest tenths or hundredths

1.8828 = 1.9 (hundredths = 1.88)

2.1172 = 2.1 (hundredths = 2.12)