$\dfrac{2}{3}$ of the students in a class are boys and the rest are 17 girls.

(i) How many boys are there in the class?

(ii) What is the total strength of the class?

(i) Given,

Number of boys in a class = $\dfrac{2}{3}$ of the students

Number of girls in a class = 17

Let the number of the students in the class be x.

Number of girls = Total students - number of boys

$\Rightarrow x - \dfrac{2}{3}x = 17\\[1em] \Rightarrow \dfrac{3}{3}x - \dfrac{2}{3}x = 17\\[1em] \Rightarrow \dfrac{3 - 2}{3}x = 17\\[1em] \Rightarrow \dfrac{1}{3}x = 17\\[1em] \Rightarrow x = 17\times 3\\[1em] \Rightarrow x = 51$

Number of boys = $\dfrac{2}{3} \times 51 = \dfrac{2 \times 51}{3} = \dfrac{102}{3} = 34$

Hence, number of boys in the class = 34.

(ii) Hence, number of students in the class = 51.