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Samantha lent her brother some money at 9% simple interest and her sister one-half as much money at 16% interest. If she received a total of 34 cents in interest, then how much did she lend to each one?

  • math -

    $X @ 9% = Her bro. loan.
    $X/2 @ 16% = Her sis. loan.

    0.09x + 0.16(x/2) = 0.34
    0.17x = 0.34
    X = 0.34 / 0.17 = $2.00.
    X/2 = 2.00 / 2 = $1.00.

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    chgckjk,

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