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Sarah works a 40 hour week as a gas fitter for a company in Saskatchewan. She earns $25.95 an hour with time and a half for any overtime. What is her gross pay for a week that she work 48 hours?

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Answer:

  $1,349.40

Step-by-step explanation:

For her 48-40 = 8 hours of overtime, Sarah earns straight-time pay for 1.5×8 = 12 hours. For her 48-hour week, she is paid her regular hourly rate for 40+12 = 52 hours.

  (52 h)($25.95/h) = $1349.40

Sarah's gross pay for a 48-hour week is $1,349.40.

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Additional comment

The associative properties of multiplication and addition mean there are numerous ways to figure pay when overtime is involved.

The usual calculation is ...

  (regular hours)×(regular pay) + (overtime hours)×(overtime pay)

This can be rearranged to ...

  = (tot hours)×(reg pay + 1/2 reg pay) -(reg hours)×(1/2 reg pay)

That is, the computation can be a single multiply followed by a subtract. Here 1.5×reg pay = $38.925/h, and (reg hours)×(1/2 reg pay) = $519. So, the pay computation could be ...

  (48 h)×($38.925/h) -$519 = $1868.40 -519 = $1349.40

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