Question

55% of the students in a school are girls. Find the total number of students in the school if the number of boys is 180.

Answer 1

Let the total number of students in the school be $x$.

Number of girls in the school

$=\frac{55x}{100}$

$=\frac{11x}{20}$

Number of boys in the school $=180$

Therefore, total number of students in the school

$x=\frac{11x}{20}+180$

$x-\frac{11x}{20}=180$

$\frac{9x}{20}=180$

$x=400$

Hence, $400$ students in the school.