Posted by **Julissa** on Friday, November 21, 2008 at 12:59am.

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 -
**PsyDAG**, Friday, November 21, 2008 at 6:38am
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 -
**Julissa**, Friday, November 21, 2008 at 3:21pm
Thank you, that help a lot. It was very clear to understand

- Math algebra -
**Anonymous**, Friday, October 12, 2012 at 9:15am
Y= $4,500

X= $7,500

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