gsm8k-0009

# GSM8K Problem 10

Eliza's rate per hour for the first 40 hours she works each week is $10. She also receives an overtime pay of 1.2 times her regular hourly rate. If Eliza worked for 45 hours this week, how much are her earnings for this week?

Reason step by step, then give ONLY the final answer on the last line as \boxed{ANSWER}.

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I need to calculate Eliza's total earnings for working 45 hours in a week.

Let me break this down step by step:

Step 1: Identify the given information
- Regular hourly rate: $10
- Overtime rate: 1.2 × regular rate = 1.2 × $10 = $12 per hour
- Total hours worked: 45 hours
- Regular hours (per week): 40 hours

Step 2: Calculate regular pay
Regular pay = Regular hours × Regular rate
Regular pay = 40 hours × $10/hour = $400

Step 3: Calculate overtime hours
Overtime hours = Total hours worked - Regular hours
Overtime hours = 45 hours - 40 hours = 5 hours

Step 4: Calculate overtime pay
Overtime pay = Overtime hours × Overtime rate
Overtime pay = 5 hours × $12/hour = $60

Step 5: Calculate total earnings
Total earnings = Regular pay + Overtime pay
Total earnings = $400 + $60 = $460

Therefore, Eliza's earnings for this week are $\boxed{460}$.