# Use system of equation to solve

• Sep 11th 2007, 01:41 PM
Prissy
Use system of equation to solve
A student can make a weekly salary of \$200.00 plus 15% commission on sales at the Radio Barn or a weekly salary of \$300.00 plus 10% commission on sles at Woofer, Etc. For what amount of sales do these two jobs pay the same?
• Sep 11th 2007, 02:14 PM
Jhevon
Quote:

Originally Posted by Prissy
A student can make a weekly salary of \$200.00 plus 15% commission on sales at the Radio Barn or a weekly salary of \$300.00 plus 10% commission on sles at Woofer, Etc. For what amount of sales do these two jobs pay the same?

what does "etc" mean? you should not leave out any part of a question if you need someone to help you. you may leave out something important.

a system of equations is not needed here.

Let the amount gained in sales be $S$

Then working at Radio Barn one can earn $200 + 0.15S$ dollars.
Working at Woofer one can earn $300 + 0.1S$

To find the amount of sales we have to make to get equal salaries, just equate the two, thus we need to solve:

$200 + 0.15S = 300 + 0.1S$ for $S$