Help Please Math

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A principal of $2500 is invested,part at 8% per annum and the rest at 12% per annum. In a year, the 8% investment interest was doubled the 12% investment interest. How much invested at each rate? Express in the form Ax+By=C

  • Help Please Math -

    amount invested at 8% ---- x
    amount invested at 12% --- y

    x+y = 2500

    .08x= 2(.12)y = .24y
    times 100
    8x = 24y
    x = 3y
    sub into the 1st
    3y + y = 2500
    4y = 2500
    y = 625
    then x = 1875

    $1875 were invested at 8% and 625 were invested at 12%

    check:
    .08(1875) = 150
    .12(625) = 75
    we can see that 150 is twice 75

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