Question

A service station attendant is paid time-and-a-half for working over 40 hours per week. Last week the attendant worked 49 hours and earned $668.75. Find the attendants regular hourly wage.

Answer 1

$12.5 per hour

Explanation:

paid "time-and-a-half" means he is paid 1.5 times original.

So for 40 hours let his hourly wage be "h"

So for hours over 40 (that is 49-40=9 hrs), he gets 1.5h

The total sum would be 668.75 dollars. Thus we can write an equation and solve for the hourly wage (h). Shown below:

`40h+1.5h(9)=668.75\\40h+13.5h=668.75\\53.5h=668.75\\h=(668.75)/(53.5)\\h=12.5`

So the hourly wage of the service station attendant is $12.5 per hour