Question

A wage earner receives a gross pay of $983.15 for 52.5 hours of work. What is his hourly rate of pay if a regular workweek is 44 hours and overtime is paid at time-and-a-half the regular rate of pay?

Answer 1

56.76 The person on top is correct I got it right on the test

Answer 2

Answer:
$56.76
Step by Step explanation:

We must first identify the regular pay and overtime pay before we can calculate the hourly rate of pay. The wage earner worked 8.5 hours over the standard 44-hour workweek, or 52.5 hours total. We must first establish the regular rate of pay because the overtime rate of pay is 1.5 times that amount.

Let's name the standard hourly wage "x." The standard wage for 44 hours is 44 hours * x, which comes to $44x. The overtime pay would be $12.75 for 8.5 hours * x * 1.5. $44 x + $12.75 x = $56.75 x = $983.15 would be the entire salary.

So, $983.15 / $56.75x = 17.45. And, x = $983.15 / 17.45 = $56.76.