An employee earns $7.00 an hour for the first 35 hours worked in a week and $10.50 for any hours ove

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An employee earns $7.00 an hour for the first 35 hours worked in a week and $10.50 for any hours over 35. One weeks paycheck (before deductions) was for $308.00. How many hours did the employee work?

Let's first check to see if the employee worked overtime:
Regular Hours: 35 * 7 = 245

Since the employee made $308, they worked overtime. Let's determine how much overtime money was made:
308 - 245 = 63

Now, to calculate the overtime hours, we divide overtime pay by overtime rate
63/10.50 = 6

Now figure out the total hours worked in the week:
Total Hours = Regular Pay Hours + Overtime Hours
Total Hours = 35 + 6
Total Hours = 41