SOLUTION: Gene earned $264 last week. He worked a total of 44 hours, part at an hourly rate of $5.50 and part at an hourly rate of $8.25. How much did he earn at each rate?

Question 66111: Gene earned $264 last week. He worked a total of 44 hours, part at an hourly rate of $5.50 and part at an hourly rate of $8.25. How much did he earn at each rate?
Found 2 solutions by ptaylor, josmiceli:
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Gene earned $264 last week. He worked a total of 44 hours, part at an hourly rate of $5.50 and part at an hourly rate of $8.25. How much did he earn at each rate?
Let x=number of hours at $8.25 per hour
Then 44-x=number of hours at $5.50 per hour
Now we are told that the amount earned at $8.25 ($8.25x) plus the amount earned at $5.50 ($5.50(44-x)) equals $264. So our equation to solve is:
8.25x+5.50(44-x)=264
8.25x+242-5.50x=264 collecting like terms and subtracting 242 from both sides
2.75x=264-242=22
x=8 hours at $8.25 per hour
44-x=44-8=36 hours at $5.50 per hour
ck
(8)($8.25)+(36)($5.50)=$264
66+198=264
264=264

Hope this helps---ptaylor
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

He earned $198 @ $5.50/hr and $66 @ $8.25/hr.
RELATED QUESTIONS
Jack and Jill both have part time jobs. Last week, Jack worked 8 hours and Jill, 5 hours... (answered by ikleyn)
Julio is paid 1.4 times his normal hourly rate for each hour he works over 30 hours in a... (answered by josmiceli)
Lou is paid 1 1/2 times his normal hourly rate for each hour he works over 40 hours in a... (answered by richwmiller)
Solve each of the following problems by setting up and solving an algebraic equation.... (answered by checkley77)
Tim and Bernice both have part time jobs.Last week, Tim and Bernice worked for 8 and 5... (answered by stanbon)
Alexis works part-time at a clothing store. She is paid an hourly rate of $15.25/ h and... (answered by ikleyn)
Shawn earns an hourly wage plus tips. One week, he worked 12 hours and earned $117. The... (answered by AlgebraLady88)
Alexis works part-time at a clothing store. She is paid an hourly rate of $15.25/h and... (answered by ikleyn)
Pat is paid time and a half for each hour he works over 36 hours in a week. last week he... (answered by stanbon)