SOLUTION: I need help making a system of equations based off of a word problem. Here is the problem: Jose and Maria sell home theater systems; Jose earns a base salary of $2,400 per month, p

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: I need help making a system of equations based off of a word problem. Here is the problem: Jose and Maria sell home theater systems; Jose earns a base salary of $2,400 per month, p      Log On


   

Question 206043: I need help making a system of equations based off of a word problem. Here is the problem: Jose and Maria sell home theater systems; Jose earns a base salary of $2,400 per month, plus $100 for each system he sells. Maria earns a base salary of 2,200 per month, plus $120 for each system she sells.
- Write an equation to represent Jose's earning. Let y represent the total earnings and let x represent the number of systems sold.
-Write an equation to represent Maria's earning. Let y represent the total earnings and let x represent the number of systems sold.
-How many systems do Jose and Maria have to sell before they can earn the same amount of money?
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
A)
Jose
y=2400+100x
B)
Maria
y=2200+120x
C)
2200+120x=2400+100x
20x=200
x=10
Proof
2400+100(10)=3600
2200+120(10)=3600