Answer:
Michael worked for 5.5 hours.
Step-by-step explanation:
Total money earned = $74.25
Money Earned in tips = $38.50
Cost per hour = $6.50
Let number of hours he worked be x.
We need to find total hours he worked.
It can be find by;
Total money he earned is equal to Cost per hour multiplied by number of hours he worked plus money earned in tips.
Hence;
Cost per hour × number of hours he worked + Money Earned in tips = Total money earned
Computing in mathematical form we get;
[tex]6.5x+38.50 = 74.25\\6.5x = 74.25-38.50\\6.5x=35.75\\\\x= \frac{35.75}{6.5} =5.5[/tex]
Hence Micheal worked for 5.5 hours.