As a salesperson at Roaring Waves Beach Supplies, Carissa receives a monthly base pay plus commission on all that she sells. If she sells $500 worth of merchandise in one month, she is paid $390. If she sells $1,000 of merchandise in one month, she is paid $480.

Find Carissa's salary when she sells $2,400 worth of merchandise.

@Mertsj

Question

As a salesperson at Roaring Waves Beach Supplies, Carissa receives a monthly base pay plus commission on all that she sells. If she sells $500 worth of merchandise in one month, she is paid $390. If she sells $1,000 of merchandise in one month, she is paid $480.

Find Carissa's salary when she sells $2,400 worth of merchandise.

@Mertsj

mertsj · Answer

Well...we don't know her base pay and we don't know the commission rate so we need two variables

mertsj · Answer

If her base pay is b and her commission percent is r then her pay would be b+br for each week.

mertsj · Answer

If her base pay is b and her commission percent is r then her pay would be b+r(500) for the first month.

mertsj · Answer

And for the next month it would be b+r(1000) for the next month.

mertsj · Answer

So now we have two equations:  the first month:  b+500r=390
the second month:  b+1000r=480

anonymous · Answer

Ok.

mertsj · Answer

So subtract the first equation from the second equation and we have:  500r = 90 and r = .18

mertsj · Answer

So now substitute back into one of the equations and find b
b+1000(.18)=500
b+180=500
b=320

mertsj · Answer

So if she sells $2400 worth of stuff she will get 320 +.18(2400)

anonymous · Answer

So do I solve that last part? 320 +.18(2400)?

mertsj · Answer

yes

anonymous · Answer

752 is what I got.

mertsj · Answer

Me too.

anonymous · Answer

Okay :) so that's the final answer?

mertsj · Answer

yep

anonymous · Answer

Was wrong :l.. Don't understand lol...

mertsj · Answer

Let me double check.

anonymous · Answer

Ok

mertsj · Answer

Try 732

anonymous · Answer

Correct :)! thanks!!!

mertsj · Answer

yw