SOLUTION: Leigh is paid time-and-a-half hours worked in excess of 40 hours and double-time for hours worked on Sunday. If Leigh had gross weekly wages of $342 for working 50 hours, 4 of whic

Question 542900: Leigh is paid time-and-a-half hours worked in excess of 40 hours and double-time for hours worked on Sunday. If Leigh had gross weekly wages of $342 for working 50 hours, 4 of which were on Sundays, what is her regular hourly rate?
Answer by lmeeks54(111) (Show Source): You can put this solution on YOUR website!
Like most word problems, the key is figuring what problem you are setting up. And that means figuring out what your variables are.
...
Let r = the base wage rate in $/hr
Let w = # weekly hrs worked up to 40
Let s = # Sunday hrs worked
Let o = # other overtime hrs worked
...
Given:
multiplier for w hrs = 1.0
multiplier for o hrs = 1.5
multiplier for s hrs = 2.0
w + o + s = 50
s = 4
...
deduce:
if w + o + s > 40, then w = 40
if w = 40 and s = 4, then o = 6
...
solve for r:
...
1.0r * w + 1.5r * o + 2.0r * s = 342
substitute in the values we deduced for w, o, and s:
...
1.0r (40) + 1.5r (6) + 2.0r (4) = 342
simplify by combining like terms:
...
40r + 9r + 8r = 342
57r = 342
r = 342/57
r = $6.00/hr
...
cheers,
Lee
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