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Math Help - help with story problem

  1. #1
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    help with story problem

    Construct a system of equations for the problem below. Use x and y as variables.
    It is not necessary to solve the system of equations.

    Lomasi's two student loans totaled $12,000. One of her loans was at 6% simple
    interest and the other at 9%. After one year, Lomasi owed $855 in interest. What
    was the amount of each loan?
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  2. #2
    Senior Member TriKri's Avatar
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    Quote Originally Posted by fancyface View Post
    Construct a system of equations for the problem below. Use x and y as variables.
    It is not necessary to solve the system of equations.

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

    \left\{\begin{array}{l}<br />
    x + y\ =\ \$\ 12,000\\<br />
    0.06\cdot x + 0.09\cdot y\ =\ \$\ 855<br />
\end{array}\right.<br />
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