24 litres of milk was distributed equally among all the students of a hostel. If each student `2/5` got — litre of milk, how many students are there in the hostel?

Answer

To find out how many students are there in the hostel, we can follow these steps:

### Step 1: Understand the problem
We know that a total of 24 liters of milk is distributed equally among all students, and each student receives \( \frac{2}{5} \) liters of milk. We need to find the number of students.

### Step 2: Set up the equation
Let the number of students be \( x \). Since each student gets \( \frac{2}{5} \) liters of milk, the total amount of milk distributed can be expressed as:
\[ \text{Total milk} = \text{Number of students} \times \text{Milk per student} \]
This can be written as:
\[ 24 = x \times \frac{2}{5} \]

### Step 3: Solve for \( x \)
To find \( x \), we can rearrange the equation:
\[ x = \frac{24}{\frac{2}{5}} \]
To divide by a fraction, we multiply by its reciprocal:
\[ x = 24 \times \frac{5}{2} \]

### Step 4: Calculate \( x \)
Now, perform the multiplication:
\[ x = 24 \times \frac{5}{2} = 24 \times 2.5 = 60 \]

### Conclusion
Thus, the number of students in the hostel is \( 60 \).

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