Carmen made $204 for 12 hours of work.
At the same rate, how much would she make for 7 hours of work?

To find out how much Carmen would make for 7 hours of work at the same rate, we can follow these steps:

1. **Determine the rate of pay per hour**:
   \[
   \text{Rate per hour} = \frac{\text{Total amount made}}{\text{Total hours worked}} = \frac{204}{12} = 17 \text{ dollars per hour}
   \]

2. **Calculate the amount for 7 hours**:
   \[
   \text{Amount for 7 hours} = \text{Rate per hour} \times \text{Hours} = 17 \times 7 = 119 \text{ dollars}
   \]

So, Carmen would make **$119** for 7 hours of work.

Would you like further details or have any questions? Here are some related questions to expand your understanding:

1. If Carmen worked for 15 hours at the same rate, how much would she make?
2. What would be Carmen's weekly earnings if she worked 40 hours at this rate?
3. How many hours would Carmen need to work to make $255?
4. If Carmen's pay rate increased by 10%, how much would she earn in 7 hours?
5. How much would Carmen make in 5 days if she worked 8 hours each day at this rate?

**Tip**: When dealing with problems involving rates, always identify the unit rate first—it simplifies calculations and allows you to apply the rate to any quantity!

Discover how much Carmen would earn for 7 hours of work at a rate of $17 per hour. This problem involves calculating earnings based on proportional reasoning, suitable for students in Grades 5-7.

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