Answer:
She worked for 55 hours
Step-by-step explanation:
Given
[tex]Hourly\ Rate = \$4.50[/tex]
[tex]Tips = \$156[/tex]
[tex]Earnings = \$403.50[/tex]
Required
Determine the number of hours worked
Represent the number of hours with h.
If 1 hour = 4.50
h hours = 4.50 * h
Hence:
Her earnings can be represented as
[tex]Earnings = Tips + Total\ Hourly\ Wages[/tex]
This gives
[tex]403.50 = 156 + 4.50 * h[/tex]
[tex]403.50 = 156 + 4.50h[/tex]
Collect Like Terms
[tex]4.50h = 403.50 - 156[/tex]
[tex]4.50h = 247.50[/tex]
Solve for h
[tex]h = 247.50/4.50[/tex]
[tex]h = 55[/tex]
Hence:
She worked for 55 hours
