# Math Help - help with story problem

1. ## 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?

2. Originally Posted by fancyface
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}
x + y\ =\ \\ 12,000\\
0.06\cdot x + 0.09\cdot y\ =\ \\ 855
\end{array}\right.
$