SOLUTION: Missy and Adam word different jobs. Missy earns $7 per hour and Adam earns $5 per hour. They each make the same amount per week but Adam works 2 more hours. How many hours a week d

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Missy and Adam word different jobs. Missy earns $7 per hour and Adam earns $5 per hour. They each make the same amount per week but Adam works 2 more hours. How many hours a week d      Log On


   

Question 877613: Missy and Adam word different jobs. Missy earns $7 per hour and Adam earns $5 per hour. They each make the same amount per week but Adam works 2 more hours. How many hours a week does Adam work
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
This is a simple linear systems exercise involving wages and income.

x and y, Missy and Adam, hours per week of work.

Missy's earnings: 7x dollars
Adam's earnings: 5y dollars

Missy and Adam make the same amount per week: 7x=5y

Adam works two hours more than Missy: y-x=2

Check the information listed there, and when you understand the situation, you should find you have this system of equations:
-------------------
7x=5y AND y-x=2
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SOLVING THE SYSTEM:
7x=5y, and y=x%2B2 for substitution.
7x=5%28x%2B2%29
7x=5x%2B10
2x=10
highlight%28x=5%29---Missy's hours
-
y=5%2B2
highlight%28y=7%29----Adam's hours