SOLUTION: 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 $3

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: 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 $3      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



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?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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%2F11.25
t = 8 over time hrs worked
:
:
Check solution:
35(7.50) + 8(11.25) =
262.50 + 90 = 352.50