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17 April, 14:27

Gabe Amodeo, a nuclear physicist needs 30 liters of a 40% acid solution. He currently has a 30% solution, and a 60% solution. How many liters of each does he need to make the needed 30 liters of 40% acid solution? Gabe needs __ liters of the 30% solution. He also needs ___ liters of the 60% solution.

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  1. 17 April, 16:53
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    Ratio of volumes of 30%:60%

    = (60-40) : (40-30)

    =2:1

    Total volume = 30 litres, so 20L of 30% and 10L of 60%.

    Alternative:

    Let X=volume of 30% acid.

    then

    0.3X+0.6 (30-X) = 0.4 (30)

    -0.3X+18=12

    X = (18-12) / 0.3=20L of 30% acid

    Volume of 60% acid=30-X=30-20=10 L
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