SOLUTION: Tiong Beng worked part time at a fast food restaurant during the school holidays. He was paid the normal hourly rate of $2.80 per hour. Overtime rate is one and a half times the

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Tiong Beng worked part time at a fast food restaurant during the school holidays. He was paid the normal hourly rate of $2.80 per hour. Overtime rate is one and a half times the      Log On


   

Question 973003: Tiong Beng worked part time at a fast food restaurant during the school holidays. He was paid the normal hourly rate of $2.80 per hour.
Overtime rate is one and a half times the normal rate. He received $173.60 for 54 hours of work. How many hours did he work overtime?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
The necessary information is 54 hours of work and a typically assumed 40 hours for the full-time limit. The difference is 14 hours, for the overtime.

Check through the whole description more carefully:

%282.80%29r%2B%283%2F2%29%282.80%29x=173.60, using x hours for eXtra time, as overtime, and r%2Bx=54.

5.60r%2B3%2A2.8x=%282%29%28173.6%29
5.6r%2B8.4x=347.2
5.6%2854-x%29%2B8.4x=347.2, using the time summation equation
%285.6%29%2854%29-5.6x%2B8.4x=347.2
2.8x=347.2-%285.6%29%2854%29
2.8x=44.8
x=44.8%2F2.8
highlight%28x=16%29, overtime hours, according to the values given in the description.