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17 February, 18:26

Helene invested a total of $1,750 in two simple-interest bank accounts. one account paid 4% annual interest; the other paid 5% annual interest. the total amount of interest she earned after 1 year was $79. find the amount invested in each account.

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  1. 17 February, 18:27
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    Total investment by Helena was $1750

    Suppose, in one bank she invested $x,

    then in the other bank, she invested $ (1750-x)

    Annual interest paid by the first bank was 4% of x

    i. e; 4x/100

    Similarly, the second bank paid 5% of (1750-x)

    i. e; 5 (1750-x) / 100

    Total Interest she earned was $79

    So we can say,

    4x/100 + 5 (1750-x) / 100 = 79

    or, 4x-5x+8750 = 7900

    or, - x = - 850

    so x = 850

    1750-x = 1750-850 = 900

    So, in one bank she invested $850, and in the other bank, she invested $900.
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