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steve for your solution

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you need to use 3 solutions of drug H containing respectively 50%, 20% and 5% to make 600ml of 10% drug H. How much of the 50% will you use?

  • no, math -

    try 400 ml of 5% and 200 ml of 20% for example then you need NONE of the 50%.
    Unless you have another criterion, the problem has many solutions.

  • steve for your solution -

    If the amounts of the three solutions are x,y,z, respectively, then all you have given is

    x+y+z = 600
    .50x + .20y + .05z = .10*600

    There are many solutions (as it were), such as

    5% 20% 50%
    400 200 0
    440 140 60
    500 50 50
    520 20 60
    533 0 67

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