A pharmacist has a 12% solution and a 20% solution of boric acid. How much of each should she use to make 80 grams of a 15% solution?

Question

A pharmacist has a 12% solution and a 20% solution of boric acid. How much of each should she use to make 80 grams of a 15% solution?

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MichaelMet 4 years 2021-07-27T23:46:10+00:00 2 Answers 75 views 0

Answers ( )

    0
    2021-07-27T23:47:31+00:00

    Step-by-step explanation:

    If x = the amount of 12% and y = the amount of 20%, then x + y = 80

    Since we need 80 grams of 15%, 80(.15) = 12.

    We are given that .12x + .20y = 12.

    We can solve the first equation for x or y. Let’s do x.

    x = 80 – y

    .12(80 – y) + .20y = 12

    9.6 – .12y + .20y = 12

    .08y = 2.4

    y = 30

    x = 80 – 30 = 50

    0
    2021-07-27T23:47:48+00:00

    Answer:

    50 grams

    Step-by-step explanation:

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