SOLUTION: Bethany Is working her way through school. She works two part-time Jobs for a total of 22 hours a week. Job A pays $6.10 per hour and job B pays $6.80 per hour. How many hours does

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Bethany Is working her way through school. She works two part-time Jobs for a total of 22 hours a week. Job A pays $6.10 per hour and job B pays $6.80 per hour. How many hours does      Log On


   

Question 1101085: Bethany Is working her way through school. She works two part-time Jobs for a total of 22 hours a week. Job A pays $6.10 per hour and job B pays $6.80 per hour. How many hours does she work at each job the week that she made $144
Found 2 solutions by addingup, ikleyn:
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
A+B = 22
A = 22-B
--------------------
6.10A+6.80B = 144
6.10(22-B)+6.80B = 144
134.20-6.10B+6.80B = 144
0.7B = 9.8
B = 14 <-- 14 hours at job B
A = 22-B = 22-14 = 8 <-- 8 hours at job A

Answer by ikleyn(52767) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let x = number of hours at job A (at $6.10 hourly).

Then the number of hours at job B is (22-x).


Then Bethany makes 6.10*x dollars at job A  and  6.80*(22-x) dollars at job B.


Two jobs together pay  6.10*x + 6.80*(22-x).


It gives you an equation

6.10*x + 6.80*(22-x) = 144     dollars.


Multiply all terms by 100 to make calculations easier:

610x + 680*(22-x) = 14400  ====>

610x + 14960 -680x = 14400  ====>  -70x = 14400 - 14960  ====>  -70x = -560  ====>  x = %28-560%29%2F%28-70%29 = 8.


Answer.  8  hours at job A  and  22-8 = 14 hours at job B.


Check.   8*6.10 + 14*6.80 = 144  dollars.   ! Correct !