Sam Brown has pledged $50 per month to support a Christian ministry and is praying for enough overtime hours to meet this expense. If he makes $7.80 per hour straight time and gets time and a half for overtime, how many overtime hours will he need each month? Round answer to nearest high hour.

To determine how many overtime hours Sam Brown will need each month, we need to follow these steps:

1. **Time and a half rate**: Sam gets 1.5 times his regular pay for overtime.
   - Regular pay rate = $7.80/hour
   - Overtime pay rate = $ 1.5 \times 7.80 = 11.70 $/hour

2. **Amount to cover**: He needs $50 per month to support the ministry.

3. **Calculate overtime hours**: The formula to find the overtime hours required is:
   \[
   \text{overtime hours} = \frac{\text{amount needed}}{\text{overtime pay rate}} = \frac{50}{11.70}
   \]
   Let's calculate that.

\[
\frac{50}{11.70} \approx 4.27
\]

4. **Rounding up**: Since he can't work a fraction of an hour, and we are asked to round up to the nearest whole number, Sam will need **5 hours** of overtime each month.

### Conclusion:
Sam will need to work **5 overtime hours** per month to meet his $50 pledge.

Do you want details on any step or have other questions?

Here are 5 related questions:
1. How many straight-time hours would Sam need to work to earn $50?
2. What is Sam’s total income if he works 10 overtime hours a month?
3. How much more will Sam make from overtime compared to straight-time for 5 hours?
4. What is the total amount Sam earns in a regular 40-hour workweek without overtime?
5. How can Sam budget better if his overtime hours vary monthly?

**Tip**: Always double-check pay rates for overtime to ensure proper earnings calculations!

Learn how to calculate the number of overtime hours Sam Brown needs to work to meet his $50 monthly pledge. With a base pay of $7.80 per hour and overtime at time and a half, this example covers essential arithmetic concepts and is ideal for students in Grades 6-8.

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