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Math Help - Word Problem - systems of linear equations

  1. #1
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    Word Problem - systems of linear equations

    A jeweler needs to mix an alloy with a 16% gold content and an alloy with a 28% gold content to obtain 32 ounces of a new alloy with a 25% gold content. How many ounces of each of the original alloys must be used?
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  2. #2
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    Re: Word Problem - systems of linear equations

    Equate Stuff!

    How much Gold originally + How much gold added = how much gold in the end

    or

    How much nonGold originally + How much nongold added = how much nongold in the end
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  3. #3
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    Re: Word Problem - systems of linear equations

    Before "equating stuff", "name stuff": let X be the amount of alloy with 16% gold content, in ounces, and let Y be the amountof alloy with 28% gold content, in ounces.
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  4. #4
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    Re: Word Problem - systems of linear equations

    figured it out, I was just having problems setting up a part of the 2nd equation.
    x = 16%
    y = 28%

    x + y = 32
    0.16x + 0.28y = 32(0.25)

    Multiplying 32 by 0.25 was what I overlooked
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  5. #5
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    Re: Word Problem - systems of linear equations

    That was the names and the stuff!
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