Sonya, who is paid time and a half for hours worked in excess of 40 hours, had gross weekly wages of 725 for 52 hours worked. what is her regular hourly rate?

Question

it' a math word problem and I need it solved 

Answer 1

So Sonya receives x dollars per hour for the first 40 hours, and 1.5x dollars per hour for hours in excess of 40.

 

52 - 40 = 12 excess hours worked

40x = amount received for first 40 hours worked

12(1.5x) = amount received for 12 excess hours worked

40x + 12(1.5x) = 725 = amount received for working 52 hours

40x + 18x = 725

58x = 725

x = 12.5

 

So Sonya's regular hourly rate is $12.50.