If `20%` of the student in a school are girls and the number of boys is 3060, then find the total strength of the school.

Answer

To solve the problem step by step, we will follow these instructions:

1. **Understand the Problem**: We know that 20% of the students in a school are girls, and the number of boys is given as 3060. We need to find the total number of students in the school.

2. **Define the Variables**: Let the total number of students in the school be represented by \( x \).

3. **Calculate the Number of Girls**: Since 20% of the students are girls, the number of girls can be expressed as:
\[ \text{Number of girls} = 20\% \text{ of } x = \frac{20}{100} \times x = \frac{x}{5} \]

4. **Set Up the Equation**: The total number of students is the sum of the number of boys and the number of girls. Therefore, we can write the equation:
\[ \text{Number of boys} + \text{Number of girls} = x \]
Substituting the known values:
\[ 3060 + \frac{x}{5} = x \]

5. **Solve the Equation**: To eliminate the fraction, multiply the entire equation by 5:
\[ 5 \times 3060 + x = 5x \]
This simplifies to:
\[ 15300 + x = 5x \]
Rearranging gives:
\[ 15300 = 5x - x \]
\[ 15300 = 4x \]
Dividing both sides by 4:
\[ x = \frac{15300}{4} = 3825 \]

6. **Conclusion**: The total strength of the school is \( 3825 \).