Greg is paid double- time for each hour worked over 45 hours in a week. Last week he worked 53 hours and earned $732. What is his normal hourly rate?
regular hours = 45
overtime hours = 53-45 = 8
hourly wage --- $x
45x + 8(2x) = 732
solve for x and state conclusion
To find Greg's normal hourly rate, we can set up an equation based on the given information.
Let's denote the normal hourly rate as "x" and the number of hours worked over 45 as "h".
Since Greg is paid double-time for each hour worked over 45, that means he received a double rate for each of those extra hours. Therefore, the equation becomes:
45x + 2h = 732
Now, we are given that Greg worked 53 hours, so we can substitute this value into the equation:
45x + 2(53 - 45) = 732
Simplifying further:
45x + 2(8) = 732
45x + 16 = 732
Now, let's isolate the variable x:
45x = 732 - 16
45x = 716
x = 716 / 45
Calculating this expression:
x = $15.91 (rounded to two decimal places)
Therefore, Greg's normal hourly rate is approximately $15.91.