Let x be the number of boys in the school the ratio of gilrs and boys in this school is:
[tex]\frac{120}{x}[/tex]
but we know that in the school the ratio girls to boys is 3:2; which means that the ratios have to be equal:
[tex]\frac{120}{x}=\frac{3}{2}[/tex]
Solving for x we have:
[tex]\begin{gathered} \frac{120}{x}=\frac{3}{2} \\ x=\frac{120}{\frac{3}{2}} \\ x=\frac{120\cdot2}{3} \\ x=\frac{240}{3} \\ x=80 \end{gathered}[/tex]
Therefore, there are 80 boys in the school.
