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

Let t denote the overtime hours. Then you know that if the employee made more than 7*35=245, then they must've worked overtime.
So 35*7 + 10.5*t = 308
Solve for t and add it to 35 to get the total hours.

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