Question

Two thirds of the students in a class are girls. What percentage of students in the class are BOYS?

Answer 1

Given:

Let the students be x

Two third of students are girls, so number of girls be:

$\frac{2}{3}x$

Now, number of boys will be:

$\begin{gathered} =x-\frac{2}{3}x \\ =\frac{3x-2x}{3} \\ =\frac{x}{3} \end{gathered}$

Percentage of boys:

$\begin{gathered} =\frac{\text{boys}}{\text{total students}}\times100 \\ =\frac{\frac{x}{3}}{x}\times100 \end{gathered}$

Solving further,

$\begin{gathered} \text{Percentage of boys=}\frac{100}{3} \\ =33\frac{1}{3} \end{gathered}$

Hence, the answer is 33 1/3 %