In Government College Chandigarh, the ratio of the number of boys to girls is `8:5`. If there are 880 girls, the total number of students in the college is

Options

A. 3399
B. 2496
C. 2184
D. 2288

Answer

To solve the problem, we need to find the total number of students in Government College Chandigarh given the ratio of boys to girls and the number of girls.

### Step-by-Step Solution:

1. **Understand the Ratio**: The ratio of boys to girls is given as 8:5. This means for every 8 boys, there are 5 girls.

2. **Assign Variables**: Let the number of boys be represented as \(8x\) and the number of girls as \(5x\), where \(x\) is a common multiplier.

3. **Given Information**: We know that the number of girls is 880. Therefore, we can set up the equation:
\[ 5x = 880 \]

4. **Solve for \(x\)**: To find the value of \(x\), divide both sides of the equation by 5:
\[ x = \frac{880}{5} = 176 \]

5. **Calculate the Number of Boys**: Now that we have \(x\), we can find the number of boys:
\[ \text{Number of boys} = 8x = 8 \times 176 = 1408 \]

6. **Total Number of Students**: The total number of students in the college is the sum of the number of boys and girls:
\[ \text{Total students} = \text{Number of boys} + \text{Number of girls} = 1408 + 880 = 2288 \]

### Final Answer:
The total number of students in the college is **2288**.

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