SOLUTION: Rosalyn worked 48 hr one week and earned a ​$1230 paycheck. She earnsnbsp two nbsptimes and a half ​(2.5 times her regular hourly​ wage) for the number of hours she works in

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Question 1144335: Rosalyn worked 48 hr one week and earned a ​$1230 paycheck. She earnsnbsp two nbsptimes and a half ​(2.5 times her regular hourly​ wage) for the number of hours she works in excess of 40. What is​ Rosalyn?s regular hourly​ wage?
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


Let x be her regular hourly wage; then 2.5x is her hourly overtime pay.

Her earnings for 40 hours of regular time plus 8 hours of overtime are $1230:



Solve using basic algebra.

Informally, each hour of overtime is like 2.5 hours of regular time, so 8 hours of overtime is like 8*2.5 = 20 hours of regular time.

So her $1230 earnings are for 40+20 = 60 hours of work.

Her regular hourly wage is $1230/60.

Perform the calculation.
Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.

The basic equation is


    40x + 2.5*(48-40)*x = 1230.


Simplify and solve for x


    40x + 2.5*8x = 1230

    40x + 20x    = 1230

    60x          = 1230

      x           =  = 20.50 dollars.    ANSWER


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