1. **State the problem:** The total enrollment in the school is 432 students. The ratio of boys to girls is 5:4. We need to find how many more boys than girls are in the school. 2. **Understand the ratio:** The ratio 5:4 means for every 5 boys, there are 4 girls. 3. **Set variables:** Let the number of boys be $5x$ and the number of girls be $4x$. 4. **Write the total equation:** $$5x + 4x = 432$$ 5. **Simplify:** $$9x = 432$$ 6. **Solve for $x$:** $$x = \frac{432}{9}$$ $$x = 48$$ 7. **Find number of boys and girls:** $$\text{Boys} = 5x = 5 \times 48 = 240$$ $$\text{Girls} = 4x = 4 \times 48 = 192$$ 8. **Find how many more boys than girls:** $$240 - 192 = 48$$ **Final answer:** There are 48 more boys than girls in the school.