SOLUTION: sorry i cant figure this out if sylvia works overtime she is paid 1 1/2 times as much per hour as usual. after working her usual 40 h last week. she worked and additional 4h

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Question 124103: sorry i cant figure this out
if sylvia works overtime she is paid 1 1/2 times as much per hour as usual. after working her usual 40 h last week. she worked and additional 4h overtime. if she made $552 last week find her usual hourly wage

THANSK ALOT

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If Sylvia works overtime she is paid 1 1/2 times as much per hour as usual. after working her usual 40 h last week. she worked and additional 4h overtime. if she made $552 last week find her usual hourly wage
:
This can be done with a simple algebra equations:
:
Let x = normal
then
1.5x = overtime wage
:
40hr reg wage + 4hr overtime wage $552
40x + 4(1.5x) = 552
:
40x + 6x= 552; (multiplied 4 * 1.5)
:
46x = 552; added the x's
:
x = 552%2F46; divide both sides by 46
:
x = $12.00 per hr is the regular wage
:
:
We can prove this. Overtime wage would be 1.5 * 12 = 18.00 per hr
40(12) + 4(18) =
480 + 72 = 552
:
Did this make sense to you. Can you do this now?