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9 March, 19:20

An investment of $125,000 was made by a business club. The investment was split into three parts and lasted for one year. The first part of the investment earned 8% interest, the second 6%, and the third 9%. Total interest from the investments was $9090. The interest from the first investment was 2 times the interest from the second. Find the amounts of the three parts of the investment.

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  1. 9 March, 19:45
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    Let x, y, z be the two three investments.

    x+y+z=125,000.

    0.08x+0.06y+0.09z=9090.

    8x+6y+9z=909000.

    0.08x=2*0.06y.

    8x=12y.

    2x=3y.

    By solving above three equations

    9x+9y+9z=1125,000

    8x+6y+9z=909000. By subtracting

    x+3y=216000.

    x+2x=216000.

    3x=216000.

    x=$72000.

    y=2*72000/3

    y=$48000.

    z=125000-72000-48000

    z=$5000.
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