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1 September, 19:47

A chemistry teacher needs to mix a 40%

40%

salt solution with a 80%

80%

salt solution to make 20

20

qt of a 70%

70%

salt solution. How many quarts of each solution should the teacher mix to get the desired result?

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Answers (1)
  1. 1 September, 21:01
    0
    Let f and e represent the amount of 40% and 80% solutions used ...

    We are told the f+e=20 which means that f=20-e and we can say that:

    (.4f+.8e) / 20=.7, using f=20-e in this equation we see that:

    .4 (20-e) +.8e=14

    8-.4e+.8e=14

    8+.4e=14

    .4e=6

    e=15, and since f=20-e then

    f=5

    So 15 quarts of 80% solution is mixed with 5 quarts of 40% solution to produce a 20 quart mixture of 70% solution.
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