Rohan and Ramita of class IX decided to collect Rs 25 for class cleanliness write it in linear equation in two variables also draw the graph

Answer

To solve the problem, we need to express the situation in the form of a linear equation in two variables and then draw the graph of that equation.

### Step-by-Step Solution:

1. **Understanding the Problem**:
Rohan and Ramita decided to collect a total of Rs 25 for class cleanliness. We need to represent the amount collected by each of them using two variables.

2. **Defining Variables**:
Let:
- \( x \) = amount collected by Rohan
- \( y \) = amount collected by Ramita

3. **Formulating the Equation**:
According to the problem, the total amount collected by Rohan and Ramita is Rs 25. Therefore, we can write the equation as:
\[ x + y = 25 \]

4. **Finding Points for the Graph**:
To draw the graph of the equation \( x + y = 25 \), we need to find two points that satisfy this equation.

- **Point 1**: Let \( x = 0 \):
\[ 0 + y = 25 \implies y = 25 \]
So, one point is \( (0, 25) \).

- **Point 2**: Let \( y = 0 \):
\[ x + 0 = 25 \implies x = 25 \]
So, another point is \( (25, 0) \).

5. **Plotting the Points**:
Now we will plot the points \( (0, 25) \) and \( (25, 0) \) on a graph.

- The point \( (0, 25) \) is on the y-axis, 25 units above the origin.
- The point \( (25, 0) \) is on the x-axis, 25 units to the right of the origin.

6. **Drawing the Graph**:
- Draw the x-axis and y-axis on a graph.
- Mark the points \( (0, 25) \) and \( (25, 0) \).
- Draw a straight line through these two points. This line represents the equation \( x + y = 25 \).