10 men have rashan for 21 days in a camp.if 3 men leave the camp for how many days will the rashan be sufficient for the remaining men?

Let's break down the problem step by step to find out how many days the ration will last for the remaining men.

### Step 1: Calculate the total amount of ration
- We know that 10 men have enough ration for 21 days.
- Total ration = \( 10 \text{ men} \times 21 \text{ days} = 210 \) man-days.

### Step 2: Determine the number of men left
- 3 men leave the camp, so the number of men remaining = \( 10 - 3 = 7 \) men.

### Step 3: Calculate how long the ration will last for the remaining men
- We need to find out how many days the 210 man-days of ration will last for 7 men.
- Using the formula:  
  \[
  \text{Number of days} = \frac{\text{Total ration in man-days}}{\text{Number of remaining men}}
  \]
  \[
  \text{Number of days} = \frac{210 \text{ man-days}}{7 \text{ men}} = 30 \text{ days}
  \]

So, the ration will be sufficient for the remaining 7 men for **30 days**.

Would you like more details or have any questions?

Here are 5 related questions to explore:
1. What if 5 men left the camp instead of 3?
2. How would the result change if the ration was enough for 10 men for 30 days?
3. What happens to the ration if more men join the camp?
4. How would you calculate the ration per person per day?
5. If the ration decreases over time, how would that affect the number of days?

**Tip:** Always break down word problems into smaller steps to make them easier to solve.

10 men have rashan for 21 days in a camp. If 3 men leave the camp, for how many days will the rashan be sufficient for the remaining men?

Solve the man-day ration problem where 10 men have enough ration for 21 days, and 3 men leave the camp. Learn how to calculate the remaining days of ration sufficiency for the remaining 7 men using simple proportional calculations. Suitable for students in Grades 5-7.

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