A group of students arranged a picnic. Each student contributed Rs`261 1/2 ` The total 2 contribution was Rs `2876 1/2`. How many students are there in the group?

Answer

To find the number of students in the group, we can follow these steps:

### Step 1: Convert the mixed fractions to improper fractions
First, we need to convert the contributions from mixed fractions to improper fractions.

**Total contribution:**
Rs. 2876 1/2 = 2876 + 1/2 = (2876 * 2 + 1) / 2 = (5752 + 1) / 2 = 5753 / 2

**Each student's contribution:**
Rs. 261 1/2 = 261 + 1/2 = (261 * 2 + 1) / 2 = (522 + 1) / 2 = 523 / 2

### Step 2: Set up the equation
Now we can set up the equation to find the number of students (let's denote the number of students as \( n \)):

\[ n \times \text{(each student's contribution)} = \text{total contribution} \]

Substituting the values we have:

\[ n \times \frac{523}{2} = \frac{5753}{2} \]

### Step 3: Solve for \( n \)
To find \( n \), we can divide both sides of the equation by \( \frac{523}{2} \):

\[ n = \frac{5753/2}{523/2} \]

### Step 4: Simplify the equation
When dividing fractions, we multiply by the reciprocal:

\[ n = 5753 \div 523 \]

### Step 5: Perform the division
Now we perform the division:

\[ n = 11 \]

### Conclusion
Thus, the number of students in the group is **11**.

---