Math algebra

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Sarah’s two student loans totaled $12,000. One of her loans was at 6% simple interest and the other at 9%. After one year, Sarah owed $855 in interest. What was the amount of each loan?

  • Math algebra -

    Let X be one loan amount and Y the other.

    X = $12,000 - Y

    .06X + .09Y = $855

    Substitute ($12,000 - Y) for X in the second equation and solve for Y. Put that value into the first equation to find X. Check by putting both values in the second equation.

    I hope this helps. Thanks for asking.

  • Math algebra -

    Thank you, that help a lot. It was very clear to understand

  • Math algebra -

    Y= $4,500
    X= $7,500

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