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1 December, 10:24

You mix 1/3

quart of blue paint for every 1/2

quart of red paint to make 2 1/2

quarts of purple paint. How much blue paint and how much red paint do you use?

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Answers (1)
  1. 1 December, 13:45
    0
    1 quart blue + 1 1/2 quart red

    Step-by-step explanation:

    Given:

    Ratio of blue paint : red paint = 1/3 : 1/2

    simplifying this ratio into whole numbers by multiplying both sides by 2 and 3, we get:

    (1/3) x (3x2) : (1/2) x (3x2)

    2 : 3

    From this we can determine the fractions of red and blue paint used in any total purple mix

    fraction of blue paint = 2 / (2+3) = 2/5 of purple mix

    fraction of red paint = 3 / (2+3) = 3/5 of purple mix

    we are given that we want to make 2 1/2 ( = 5/2) quarts of purple paint

    hence

    amount of blue paint

    = fraction of blue paint in purple mix x total amount of purple paint

    = (2/5) x (5/2) = 1 quart

    amount of red paint

    = fraction of redpaint in purple mix x total amount of purple paint

    = (3 / 5) x (5/2) = 3/2 quart = 1 1/2 quart
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