According to the given statement, let's imagine that the teacher has x students.
He says that if as many students as he has now join his school, it means you add x.
Then a half as many he has, which means you add 1/2x.
Then a quarter as many he has, you add 1/4x.
Finally, if the boy also joins the school, it means you add 1 and obtain a total of 100 students.
Write this in an equation and solve for x:
[tex]\begin{gathered} x+x+\frac{1}{2}x+\frac{1}{4}x+1=100 \\ \frac{11}{4}x+1=100 \\ \frac{11}{4}x=99 \\ \frac{1}{4}x=\frac{99}{11} \\ x=9\cdot4 \\ x=36 \end{gathered}[/tex]The teacher has 36 students.
