Question

Kim Yu is a waitress and makes $4.50 per hour plus tips. Her tips this week totaled $156. Her paycheck at the end of the week was $403.50. How many hours did she work?

Answer 1

She worked for 55 hours

Explanation:

Given

`Hourly\ Rate = \$4.50`

`Tips = \$156`

`Earnings = \$403.50`

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

`Earnings = Tips + Total\ Hourly\ Wages`

This gives

`403.50 = 156 + 4.50 * h`

`403.50 = 156 + 4.50h`

Collect Like Terms

`4.50h = 403.50 - 156`

`4.50h = 247.50`

Solve for h

`h = 247.50/4.50`

`h = 55`

Hence:

She worked for 55 hours