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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?

Sagot :

ILikeAnts

Answer:

1.8828 quarts of blue paint

2.1172 quarts of red paint

(check the explanation for more round off variations)

Step-by-step explanation:

Convert both fractions to decimals

[tex]\frac{2}{3}[/tex] = 0.667

[tex]\frac{3}{4}[/tex] = 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)

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