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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We are given:

- Eliza's **regular hourly rate** = \$10  
- She works **45 hours** this week.  
- Overtime pay = **1.2 times** the regular hourly rate  
- Overtime applies to hours **beyond 40 hours**.

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### Step 1: Calculate regular hours and overtime hours
- Regular hours = 40  
- Overtime hours = 45 − 40 = **5**

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### Step 2: Calculate regular pay
Regular pay = Regular hours × Regular rate  
= 40 × \$10 = **\$400**

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### Step 3: Calculate overtime rate
Overtime rate = 1.2 × \$10 = **\$12 per hour**

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### Step 4: Calculate overtime pay
Overtime pay = Overtime hours × Overtime rate  
= 5 × \$12 = **\$60**

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### Step 5: Total earnings
Total earnings = Regular pay + Overtime pay  
= \$400 + \$60 = **\$460**

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\boxed{460}