SOLUTION: A worker earns $9 per hour for a regular workday, and $13.50 per hour hour additional hours. If the worker was paid $114.75 for an 11-hour workday, what is the length of a regular

Algebra ->  Finance -> SOLUTION: A worker earns $9 per hour for a regular workday, and $13.50 per hour hour additional hours. If the worker was paid $114.75 for an 11-hour workday, what is the length of a regular      Log On


   



Question 348517: A worker earns $9 per hour for a regular workday, and $13.50 per hour hour additional hours. If the worker was paid $114.75 for an 11-hour workday, what is the length of a regular workday?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let regular work day hours be x
then overtime hours = 11-x
...
regular rate $9
overtime rate = $13.50
..
Money earned = $114.75
...
9x+13.50(11-x)=114.75
9x+148.50 -13.50x =114.75
-4.5x=-33.75
x= 7.5 hours