A chemist needs to mix an 20% acid solution with a 50% acid solution to obtain 15 liters of a 34% acid solution. How many liters of each of

Question

A chemist needs to mix an 20% acid solution with a 50% acid solution to obtain 15 liters of a 34% acid solution. How many liters of each of the acid solutions must be used?

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Isabelle 2 weeks 2021-09-09T13:12:13+00:00 2 Answers 0

Answers ( )

    0
    2021-09-09T13:13:59+00:00

    Answer:

    8 and 7

    Step-by-step explanation:

    No Need

    0
    2021-09-09T13:13:59+00:00

    Answer:

    8 litres of the 20%  and

    7 litres of the 50% solution.

    Step-by-step explanation:

    Let the number of litres  be x for 20% and y for the 50% solution. Then

    0.2x + 0.5y = 15*0.34

    0.2x + 0.5y = 5.1         Also we have:

    x      +  y  =  15             Multiply the first equation by -2:

    -0.4x – y = -10.2           Adding these last 2 equations:

    0.6x = 4.8

    x = 4.8 / 0.6

    x = 8.

    and y = 15 – 8 = 7 .

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