If 2 days and 10 hours make $618 how many days or hours will it take for it to be $300

To solve this, we first need to find the rate per hour or per day, then calculate how many days or hours would yield $300.

### Step 1: Calculate Total Hours
Since there are 2 days and 10 hours:
- $ 2 \text{ days} = 2 \times 24 = 48 \text{ hours} $
- Adding 10 hours gives us $ 48 + 10 = 58 \text{ hours} $

### Step 2: Find Rate per Hour
Given that 58 hours corresponds to $618, the rate per hour is:
\[
\text{Rate per hour} = \frac{618}{58} = 10.65517 \approx 10.66 \text{ dollars per hour}
\]

### Step 3: Calculate Hours Needed for $300
Now, we want to find how many hours, $ x $, would yield $300:
\[
10.66 \times x = 300
\]
\[
x = \frac{300}{10.66} \approx 28.14 \text{ hours}
\]

### Step 4: Convert Hours to Days and Hours
28.14 hours is approximately:
- $ 1 \text{ day} = 24 \text{ hours} $
- $ 28.14 \text{ hours} = 1 \text{ day and } (28.14 - 24) = 4.14 \text{ hours} $

### Conclusion
To earn $300, it would take approximately **1 day and 4.14 hours** or **28.14 hours**.

Would you like further details on any steps, or have other questions?

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1. How would you solve for different amounts of money?
2. What if the rate per day or per hour changes?
3. Can you use this method to compare multiple rates?
4. How do you convert between hours and days accurately?
5. How do small rounding differences affect the total time?

**Tip:** Always double-check units when converting between days and hours to maintain accuracy.

If 2 days and 10 hours make $618, how many days or hours will it take for it to be $300?

Learn how to calculate the time required to earn $300 when 2 days and 10 hours make $618. This problem covers key algebraic concepts, including proportional relationships and unit rate calculation, suitable for students in Grades 7-9.

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