Find regular hourly rate
Alice, who is paid time-and-a half for hours in excess of 40 hours, had gross weekly wages of $667 for 52 hours worked. what is her regular hourly rate?
Let x be her regular hourly rate
Her overtime hourly rate will be x + x/2
x + x/2 = 2x/2 + x/2 = (2x + x)/2 = 3x/2
Alice did 12 hours of overtime
Gross wage = regular wage + overtime wage (Wage equation)
Gross wage = 667
Regular wage = 40 × x
Regular wage = 40x
Overtime wage = 12 × (3x/2)
Overtime wage = (12 × 3x)/2
Overtime wage = 36x/2
Overtime wage = 18x
Replace gross wage, regular wage, and overtime wage into wage equation
667 = 40x + 18x
667 = 58x
Divide both sides by 58
667/58 = 58x/58
x = 11.5
Her regular hourly rate is 11.5
Let check it!
11.5/2 = 5.75, so overtime rate is 11.5 + 5.75 = 17.25
40 × 11.5 + 12 × 17.25 = 460 + 207 = 667
Click here to post comments
Join in and write your own page! It's easy to do. How? Simply click here to return to Basic math word problem.
Apr 03, 17 09:12 AM
Learn to divide using partial quotients. Understand the concept fast!
New math lessons
Your email is safe with us. We will only use it to inform you about new math lessons.