Working as a waiter, Micheal earns $6.50 per hour plus tips. Last night he received $38.50 in tips and earned a total of $74.25. How many hours did he work?algebra

Let's call the number of hours Micheal worked as "x".

Micheal earns $6.50 per hour, so he earned 6.50x dollars from his hourly wage.

He also received $38.50 in tips.

Therefore, his total earnings can be represented by the equation:

6.50x + 38.50 = 74.25

Subtracting 38.50 from both sides:

6.50x = 35.75

Dividing both sides by 6.50:

x = 5.5

Therefore, Micheal worked for 5.5 hours.