Answer:
The number of boys in the school is;
![625](https://img.qammunity.org/2023/formulas/mathematics/college/7l8tr8nk9ahmh1zskzox2hq95zi7easpr5.png)
Step-by-step explanation:
Given that the ratio of boys to girls in a school is 5:4;
![5\colon4](https://img.qammunity.org/2023/formulas/mathematics/college/n3t08joxlk72t7v0k39et02u6fk6y0pzqc.png)
And there are 500 girls in the school.
The number of boys in the school will be;
![\begin{gathered} (B)/(G)=(5)/(4) \\ G=500 \\ B=(5* G)/(4)=(5*500)/(4) \\ B=625 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/hjnus4phk71ldplvcpcgt2we0qxi54v51n.png)
Therefore, the number of boys in the school is;
![625](https://img.qammunity.org/2023/formulas/mathematics/college/7l8tr8nk9ahmh1zskzox2hq95zi7easpr5.png)