SOLUTION: When Julia works overtime, she is paid 1 1/2 times as much per hour as she normally is. After working her usual 40 hours last week, she worked an additional 8 hours overtime. If sh

Question 70584This question is from textbook Algebra:Structure and Method
: When Julia works overtime, she is paid 1 1/2 times as much per hour as she normally is. After working her usual 40 hours last week, she worked an additional 8 hours overtime. If she made $520 last week, find her normal hourly wage. This question is from textbook Algebra:Structure and Method

Found 3 solutions by checkley75, Earlsdon, stanbon:
Answer by checkley75(3666)   (Show Source):
You can put this solution on YOUR website!
40X+8(1.5X)=520
40X+12X=520
52X=520
X=520/52
X=$10 DOLLARS PER HOUR IS THE NORMAL HOURLY RATE.
PROOF
40*10+8*15=520
400+120=520
520=520

Answer by Earlsdon(6103)   (Show Source):
You can put this solution on YOUR website!
Let W = Julia's nomal hourly wage. Overtime is paid as 1.5W
From the problem description, you can write:
40W + 8(1.5W) = $520 Simplify and solve for W.
40W + 12W = $520
52W = $520 Divide both sides by 52.
W = $10
Julia's normal hourly wage is $10.00

Answer by stanbon(48546)   (Show Source):
You can put this solution on YOUR website!
When Julia works overtime, she is paid 1 1/2 times as much per hour as she normally is. After working her usual 40 hours last week, she worked an additional 8 hours overtime. If she made $520 last week, find her normal hourly wage.
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Let her normal hourly wage be "x".
Value of 40 normal hours of work is 40x dollars
Value of 8 hours of overtime is 1.5*8x = 12x dollars
EQUATION:
value + value = 520 dollars
40x +12x = 520
52x = 520
x=10 dollars per hour (Julia's normal hourly pay)
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Cheers,
Stan H.