algebra 1

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Amanda invested a total of $3,600 into three separate accounts that pay 5%, 7%, and 9% annual interest. Amanda has four times as much invested in the account that pays 9% as she does in the account that pays 5%. If the total interest for the year is $282, how much did Amanda invest in each account?

  • algebra 1 -

    let x be the amount at 5%
    4x at 9%
    3600-(x+4x) at 7%

    .05x + .09*4x + .07(3600-5x) = 282
    .05x + .36x + 252 - .35x = 282
    .06x = 30
    x = 500

    so, she has

    500 at 5%
    2000 at 9%
    1100 at 7%

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