SOLUTION: This word problem must be solved by using systems of equations(addition, elimination or substitution). You get a $15,000 base salary and 10% commission on your total annual sal

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Question 127463: This word problem must be solved by using systems of equations(addition, elimination or substitution).
You get a $15,000 base salary and 10% commission on your total annual sales at Auto Corporation. Polk Corporation offers you a base salary of $30,000 and 5% commission on your total annual sales. Using a two equation system of equations, determine how many total sales would you have to make per year to make more money at Auto Corporation?
I tried: S + .10C = $15,000
S + .05C = $30000 but the answer doesn't look right.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Income = base salary + (annual sales)(commision on annual sales)
Let s = annual sales
I%5B1%5D+=+15000+%2B+.1s for Auto Corp.
I%5B2%5D+=+30000+%2B+.05s for Polk Corp.
For what value of s would these incomes be equal?
15000+%2B+.1s+=+30000+%2B+.05s
.05s+=+15000
s+=+300000
You would need to make more than $300,000 in sales
to make more money at Auto Corp.
I'll solve each for s+=+300001
I%5B1%5D+=+15000+%2B+.1%2A300001
I%5B1%5D+=+45000.10
I%5B2%5D+=+30000+%2B+.05%2A300001
I%5B2%5D+=+45000.05
So, for a dollar more in sales, you would make
.05 more for annual salary at Auto Corp.