In an army camp, there were provisions for 550 men for 28 days. But, 700 men attended the camp. How long did the provisions last?

Answer

To solve the problem step by step, we can follow these calculations:

### Step 1: Understand the given information
We know that provisions are sufficient for 550 men for 28 days.

### Step 2: Calculate the total man-days of provisions
To find out how many total man-days of provisions are available, we can use the formula:
\[ \text{Total Man-Days} = \text{Number of Men} \times \text{Number of Days} \]
So, for 550 men for 28 days:
\[ \text{Total Man-Days} = 550 \text{ men} \times 28 \text{ days} = 15400 \text{ man-days} \]

### Step 3: Determine how long the provisions will last for 700 men
Now, we need to find out how many days the same provisions will last for 700 men. We can use the total man-days calculated in Step 2 and divide it by the number of men:
\[ \text{Number of Days} = \frac{\text{Total Man-Days}}{\text{Number of Men}} \]
Substituting the values:
\[ \text{Number of Days} = \frac{15400 \text{ man-days}}{700 \text{ men}} = 22 \text{ days} \]

### Conclusion
Thus, the provisions will last for **22 days** for 700 men.

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