college algebra

A doctor prescribes an ointment that is 4% hydrocortisone. A pharmacist has 1% and 5% concentrations in stock. How many ounces of each should the pharmacist use to make a 3-ounce tube?

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  1. If x oz. of 1% are used, then the rest (3-x) are 5%, so

    .01x + .05(3-x) = .04(3)
    x = 3/4

    So, 3/4 oz of 1% and 9/4 oz of 5%

    Note that 4% is 3/4 of the way from 1% to 5%, so 3/4 of the total is the 5% strength.

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    posted by Steve

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