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To solve this problem, we can use the concept of "man-days," which is the product of the number of people and the number of days they can consume a fixed amount of resources.

### Given Information:
- A 50 kg bag of rice lasted for 5 students over 6 days.

### Step 1: Calculate the Total Man-Days
The total "man-days" this 50 kg bag of rice lasts is:
\[
5 \text{ students} \times 6 \text{ days} = 30 \text{ man-days}
\]

### Step 2: Determine Duration for 4 Students
Now, we need to find out how many days this same 50 kg bag will last for 4 students.

Let \( x \) represent the number of days the rice will last for 4 students. Then:
\[
4 \text{ students} \times x \text{ days} = 30 \text{ man-days}
\]
\[
4x = 30
\]
\[
x = \frac{30}{4} = 7.5 \text{ days}
\]

### Answer
The 50 kg bag of rice will last 4 students for 7.5 days.

Would you like further details or have any questions?

Here are some related questions to expand on this:

1. How would the answer change if there were 3 students instead of 4?
2. How many kilograms of rice would be needed to feed 5 students for 10 days?
3. How many days would a 100 kg bag last for 5 students?
4. If each student requires a fixed amount of rice per day, what is that amount based on the given data?
5. How would the duration change if we added one more student to the camp?

**Tip:** When solving problems like this, consider using "man-days" or a similar unit to simplify the calculation process when changing the number of people or days.

A 50 kg bag of rice lasted 5 students on a camp for 6 days. How much will the same bag last 4 students?

Calculate how many days a 50 kg bag of rice will last 4 students, given that it lasted 5 students for 6 days. This solution covers man-days calculations and proportional reasoning, suitable for Grades 5-7.

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