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19 March, 12:53

1. How many mL of 70% and 40% alcohol elixirs

should be mixed to prepare 300 mL of 60%

alcohol?

+3
Answers (1)
  1. 19 March, 14:27
    0
    that they are 200 mL of 70% and 100 mL of 40%

    Step-by-step explanation:

    We have to build a 2x2 system of equations with the information from the statement as follows:

    0.70 * x + 0.4 * y = 300 * 0.6

    x + y = 300 = > x = 300 - y

    where x is elixir 1 (70%) and y elixir 2 (40%).

    replacing we have:

    0.70 * (300 - y) + 0.4 * y = 300 * 0.6

    210 * - 0.7 * y + 0.4 * y = 180

    -0.3 * y = 180 - 210

    y = - 30 / - 0.3

    y = 100

    now for x:

    x = 300 - 100

    x = 200

    Which means that they are 200 mL of 70% and 100 mL of 40%
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