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12 December, 23:18

A doctor's prescription calls for a daily intake containing 50 mg of vitamin C and 10 mg of vitamin D. Your pharmacy stocks two compounds that can be used: one contains 80% vitamin C and 10% vitamin D, the other 40% vitamin C and 20% vitamin D. How many milligrams of each compound should be mixed to fill the prescription?

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  1. 12 December, 23:27
    0
    Setup

    0.8x + 0.4y = 50

    0.1x + 0.2y = 10 - Multiply by - 2 and add

    get

    0.6x = 30

    x = 50 mg compound A

    .1 (50) +.2y = 10

    5 +.2y = 10

    .2y = 5

    y = 25 mg compound B
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