Math Help - 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 $40$ regular hours. So we'll call a regular hour $x$

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

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

I find $x = 8.44$