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

Answer:

She worked for 55 hours

Step-by-step 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