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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To find Eliza's total earnings, we need to calculate her pay for the regular hours and her pay for the overtime hours separately.

1.  **Calculate regular pay:**
    Eliza works 40 regular hours at a rate of $10 per hour.
    $$40 \text{ hours} \times \$10/\text{hour} = \$400$$

2.  **Calculate overtime hours:**
    She worked a total of 45 hours this week.
    $$45 \text{ total hours} - 40 \text{ regular hours} = 5 \text{ overtime hours}$$

3.  **Calculate overtime rate:**
    Her overtime rate is 1.2 times her regular hourly rate.
    $$\$10/\text{hour} \times 1.2 = \$12/\text{hour}$$

4.  **Calculate overtime pay:**
    She worked 5 overtime hours at the overtime rate of $12 per hour.
    $$5 \text{ hours} \times \$12/\text{hour} = \$60$$

5.  **Calculate total earnings:**
    Add the regular pay and the overtime pay together.
    $$\$400 + \$60 = \$460$$

\boxed{460}