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# Serena and Sienna's work hours

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Serena and Sienna both work for a company that pays 12 dollars per hour for the first 40 hours of work in a week. If an employee works beyond 40 hours, it is considered overtime, and the overtime pay is 18 dollars per hour (50% more). Last week Serena earned a total of 642 dollars, and Sienna earned a total of 456 dollars. How many hours did Serena and Sienna work in total?

Jan 10, 2021

#1
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From quick estimates, Serena works overtime but Sienna does not

Serena:

y = hours of overtime

40×12 + 18y = 642

18y = 162

y = 9

Serena works 49 hours

Sienna:

z = hours worked

12z = 456

z = 38

Sienna works 38 hours

49 + 38 = 87 hours in total

Guest power Jan 10, 2021

#1
+1

From quick estimates, Serena works overtime but Sienna does not

Serena:

y = hours of overtime

40×12 + 18y = 642

18y = 162

y = 9

Serena works 49 hours

Sienna:

z = hours worked

12z = 456

z = 38

Sienna works 38 hours

49 + 38 = 87 hours in total

Guest power Guest Jan 10, 2021