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?

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- Sep 11th 2007, 12:41 PMPrissyUse 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, 01:14 PMJhevon
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 $\displaystyle S$

Then working at Radio Barn one can earn $\displaystyle 200 + 0.15S$ dollars.

Working at Woofer one can earn $\displaystyle 300 + 0.1S$

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

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