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Math Help - Word Problem

  1. #1
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    Word Problem

    The Computer Club invested $2200, part at 4.5% interest and the rest at 7%. The total annual interest earned was $144. How much was invested at each rate?

    The answser is $400 at 4.5% and $1800 at 7% but i can't figue out how to get there.
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  2. #2
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    \displaystyle (x)(.045)+(y)(.07)=144

    \displaystyle x+y=2200

    How do you solve a system of linear equations now?
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  3. #3
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    Actually I figured it out. Instead of using 2 variables I did Amount @ 4.5% = x, so then the amount at 7% = 2200-x

    so it goes:
    .045x + .07(2200-x)=144

    then I sloved for x and got 400. So it is $400@ 4.5% and if the amount @ 7% is 2200-x it would = 1800
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