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a drug is supplied as a 20 mg/ml solution in a 50 ml vial. you need to make 15 ml of a 10 mg/ml solution. how much concentrate and how much diluent are needed to obtain the desired final volume?

  • math -

    you need x ml of solution, and 15-x ml of water (0 mg/ml), so

    20x + 0 = 10*15
    x = 7.5

    Since the concentration is being reduced by a factor of 2, the volume needs to be increased by that factor.

    2 * 7.5 = 15

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