Question 214700
Helen earns $7.50 an hour at her job, but if she works more than 35 hours in a week,
 she is paid 1 1/2 times her salary for the overtime hours worked. 
One week her gross pay was $352.50. How many overtime hours did she work that week?
:
1.5(7.50) = $11.25 hourly over time pay
:
Let t = no. of overtime hrs
:
Reg pay + ot pay = 352.50
35(7.50) + 11.25t = 352.50
262.50 + 11.25t = 352.50
11.25t = 352.50 - 262.50
11.25t = 90
t = {{{90/11.25}}}
t = 8 over time hrs worked
:
:
Check solution:
35(7.50) + 8(11.25) = 
262.50 + 90 = 352.50