SOLUTION: Soledad worked 48 hours one week and earned a $442 paycheck. She earns time and a half (1.5 times her regular hourly wage) for the hours she works in excess of 40. What is Soledad'

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Soledad worked 48 hours one week and earned a $442 paycheck. She earns time and a half (1.5 times her regular hourly wage) for the hours she works in excess of 40. What is Soledad'      Log On


   

Question 399085: Soledad worked 48 hours one week and earned a $442 paycheck. She earns time and a half (1.5 times her regular hourly wage) for the hours she works in excess of 40. What is Soledad's regular hourly wage?
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
if x is regular hourly wage, then 1.5 times her regular hourly wage is 1.5x
she worked 48 hours (40 for regular hourly wage and 8 for earns time and a half )
then for 40 hours she earned 40x$
for 8 hours that she worked in excess of 40, she earned 8*(1.5x)=12x$
when she worked 48 hours she earned 442$ paycheck, so
40x%2B12x=442
52x=442
x=442%2F52
x=8.5$ is Soledad's regular hourly wage