SOLUTION: I have to write a system of equations that can be used to solve this problem then solve the system and determine the answer. The problem is: A lady can join a small business as

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Question 217255: I have to write a system of equations that can be used to solve this problem then solve the system and determine the answer. The problem is:
A lady can join a small business as a full partner and receive a salary of 12,000 a year plus 15% of the year's profit, or she can join as a sales manager with a salary of 27,000 per year plus 5% of the year's profit. What must the years profit be for her total earnings to be the same whether she joins as a full partner or as a sales manager?
I'm not sure if it's right or not but I came up with:
s=0.15p+12,000
s=0.05p+27,000 and what system should I use to solve it?

Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
since your looking for the equal amount the following works
.15p+12000=.05p+27000
.1p=15000
p=$150,000
salary = $34,500 for both