SOLUTION: TIONG BENG WORKED PART TIME AS 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 NORM

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: TIONG BENG WORKED PART TIME AS 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 NORM      Log On

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Question 1085646: TIONG BENG WORKED PART TIME AS 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 MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

the normal hourly rate: $2.80 per hour, and he worked x hours
the overtime rate 1.5 times the normal hourly rate: $1.5%2A2.80=4.20 per hour, and he worked y hours
for 54 hours he received $173.60
x%2By=54
x=54-y.........eq.1
2.80x%2B4.20y=173.60
2.80x=173.60-4.20y
x=62-1.5y.........eq.2
from eq.1 and eq.2 we have:
54-y=62-1.5y
1.5y-y=62-54
0.5y=8
y=8%2F0.5
highlight%28y=16%29-> the overtime hours
x=54-16
x=38->the normal hours