SOLUTION: Pete gets paid $35 per hour to fix the blinking lights at the top of the radio transmission towers, and this week, since there ate no thunderstorms in the forecast, he plans to wor

Question 522735: Pete gets paid $35 per hour to fix the blinking lights at the top of the radio transmission towers, and this week, since there ate no thunderstorms in the forecast, he plans to work 5 hours overtime. By week's end, the government will have taken out $462 in taxes from his check, leaving him a total of $1,463. How many hours does pete normally work per week?
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Pete gets paid $35 per hour to fix the blinking lights at the top of the radio transmission towers, and this week, since there ate no thunderstorms in the forecast, he plans to work 5 hours overtime.
By week's end, the government will have taken out $462 in taxes from his check, leaving him a total of $1,463.
How many hours does pete normally work per week?
:
Find his gross, (total made for the week) 1463 + 462 = $1925
:
Assume he gets time & a half for overtime: 1.5*5*35 = $262.50 for the 5 hrs OT
:
Let x = normal number of hours worked per week (no overtime)
:
normal pay = gross - overtime pay
35x = 1925 - 262.50
35x = 1662.50
x =
x = 47.5 hrs
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