# Thread: Need help finding rate of pay

1. ## Need help finding rate of pay

Edith worked 47 hours during a week for which her gross remuneration was $426.22. Based on a regular workweek of 40 hours and overtime payment at time-and-a-half regular pay, what is Edith's hourly rate of pay? I would appreciate it so much if someone would help me out with this because I am completely stuck. Thanks so much. 2. Originally Posted by renee_ashleyz@hotmail.com Edith worked 47 hours during a week for which her gross remuneration was$426.22. Based on a regular workweek of 40 hours and overtime payment at time-and-a-half regular pay, what is Edith's hourly rate of pay?

I would appreciate it so much if someone would help me out with this because I am completely stuck. Thanks so much.
Firstly, you got $\displaystyle 40$ regular hours. So we'll call a regular hour $\displaystyle x$

Then we also have $\displaystyle 7$ overtime hours. Which is worth $\displaystyle 1.5x$

So:
$\displaystyle 40(x) + 7(1.5x) = 426.22$

I find $\displaystyle x = 8.44$