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27 October, 12:49

Robin invested a total of $12,000 in two investments, X and Y, so that the investments earned the same amount of simple annual interest. How many dollars did Robin invest in investment Y? Investment X paid 3 percent simple annual interest, and investment Y paid 6 percent simple annual interest.

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  1. 27 October, 15:28
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    x = $8000, y = $4000

    Explanation:

    Simple interest = (Principal x Rate x Time) / 100,

    where P is principal,

    R rate of interest and

    T is time

    The scenario states that the two rate of interest are 3% and 6%

    Therefore

    So X*3*1 / 100=Y*6*1/100.

    or if we are to substitute x values for y

    So X*3*1 / 100 = (12000-X) * 6*1/100

    0.03x = 720 - 0.06x

    0.09x = 720

    x = $8000

    and Y = 12000 - x which is 12000 - 8000 = $4000

    To check

    3% of 8000 = 240

    6% of 4000 = 240
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