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gsm8k-0009

1.000
1/1 tests· math
Challenge · difficulty 2/5
# 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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Proposed solution
Let's break down Eliza's earnings step by step.

1. **Regular Hours and Rate**:
   - Eliza works 40 hours at a regular rate of $10 per hour.
   - Earnings from regular hours = 40 hours × $10/hour = $400.

2. **Overtime Hours and Rate**:
   - Total hours worked this week = 45 hours.
   - Overtime hours = Total hours - Regular hours = 45 hours - 40 hours = 5 hours.
   - Overtime rate = 1.2 times the regular rate = 1.2 × $10/hour = $12/hour.
   - Earnings from overtime hours = 5 hours × $12/hour = $60.

3. **Total Earnings**:
   - Total earnings = Earnings from regular hours + Earnings from overtime hours = $400 + $60 = $460.

$\boxed{460}$