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:

`(2)/(3)x`

Now, number of boys will be:

`\begin{gathered} =x-(2)/(3)x \\ =(3x-2x)/(3) \\ =(x)/(3) \end{gathered}`

Percentage of boys:

`\begin{gathered} =\frac{\text{boys}}{\text{total students}}*100 \\ =((x)/(3))/(x)*100 \end{gathered}`

Solving further,

`\begin{gathered} \text{Percentage of boys=}(100)/(3) \\ =33(1)/(3) \end{gathered}`

Hence, the answer is 33 1/3 %