SOLUTION: Kyle has two job offers as a car salesman. At one dealership he will receive $600 per monthe plus a commission of 2% of the total price of the automobiles he sells. At the other

Algebra ->  Equations -> SOLUTION: Kyle has two job offers as a car salesman. At one dealership he will receive $600 per monthe plus a commission of 2% of the total price of the automobiles he sells. At the other       Log On


   

Question 181381: Kyle has two job offers as a car salesman. At one dealership he will receive $600 per monthe plus a commission of 2% of the total price of the automobiles he sells. At the other dealership, he will receive $1000 per month plus a commission of 1.5% of his total sales. What is the total price of the automobiles that Kyle must sell each month to make the same income from either dealership?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
first lets establish some variables. I = income for Kyle and S = total sales
:
1st offer:I=.02(S)+600..........eq 1
2nd offer:I=.015(S)+1000........eq 2
:
we want to know when the Income will be equal so we set eq 1 = to eq 2
:
.02S+600=.015S+1000
:
.005S=400
:
$highlight%28S=80000%29dollars for equal pay from each offer