In an army camp, there were provisions for 425 men for 30 days. However, 375 men attended the camp. How long did the provisions last?

Answer

To solve the problem, we need to determine how long the provisions will last for 375 men, given that they were initially sufficient for 425 men for 30 days.

### Step-by-Step Solution:

1. **Calculate the total provisions available in man-days:**
- If provisions are enough for 425 men for 30 days, we can calculate the total provisions in terms of man-days.
- Total provisions = Number of men × Number of days
- Total provisions = 425 men × 30 days = 12,750 man-days.

2. **Determine how many days the provisions will last for 375 men:**
- Now, we need to find out how many days these 12,750 man-days will last for 375 men.
- Let the number of days the provisions last for 375 men be \( x \).
- We can set up the equation:
\[ 375 \text{ men} \times x \text{ days} = 12,750 \text{ man-days} \]

3. **Solve for \( x \):**
- Rearranging the equation gives:
\[ x = \frac{12,750 \text{ man-days}}{375 \text{ men}} \]
- Now, perform the division:
\[ x = 34 \text{ days} \]

### Final Answer:
The provisions will last for **34 days** for 375 men.

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