SOLUTION: Chris is comparing two sales positions that he has been offered. The first pays a weekly salary of $600 plus a 20% commission. The second pays a weekly salary of $500 plus

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Question 999944:

Chris is comparing two sales positions that he has been offered. The first pays a weekly salary of $600 plus a 20% commission. The second pays a weekly salary of $500 plus a 25% commission. How much must he make in sales per week for the two jobs to pay the same?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = amount of sales he makes in 1 week
Let +A%5B1%5D+ = his income from the 1st job
Let +A%5B2%5D+ = his income from the 2nd job
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+A%5B1%5D+=+600+%2B+.2x+
+A%5B2%5D+=+500+%2B+.25x+
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For the jobs to pay the same:
+A%5B1%5D+=+A%5B2%5D+
+600+%2B+.2x+=+500+%2B+.25x+
+.05x+=+100+
+x+=+100%2F.05+
+x+=+2000+
$2,000 in sales makes both jobs the same
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check:
+A%5B1%5D+=+600+%2B+.2%2A2000+
+A%5B1%5D+=+600+%2B+400+
+A%5B1%5D+=+1000+
and
+A%5B2%5D+=+500+%2B+.25%2A2000+
+A%5B2%5D+=+500+%2B+500+
+A%5B2%5D+=+1000+
OK