1. **State the problem:** We are given that 38% of the students are girls and the number of boys is 1023. We need to find the total strength of the school.
2. **Define variables:** Let the total number of students be $T$.
3. **Express given information mathematically:** Girls are 38% of $T$, so girls = $0.38T$.
4. **Number of boys:** Boys = $T - 0.38T = 0.62T$.
5. **Given boys count:** $0.62T = 1023$.
6. **Solve for $T$:**
$$
T = \frac{1023}{0.62}
$$
7. **Calculate:**
$$
T = \frac{1023}{0.62} = 1650
$$
8. **Answer:** The total strength of the school is 1650 students.
Total Strength 13C813
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.