Question

In a class of $40$ students, $\frac{1}{5}$ of the total number of students like to eat rice only, $\frac{2}{5}$ of the total number of students like to eat chapati only and the remaining students like to eat both. What fraction of the total number of students like to eat both?

Answer 1

Compute the number of students who like to eat both rice and chapati.

In the question, it is given that in a class of $40$ students $\frac{1}{5}$ of the total number of students like to eat rice only, $\frac{2}{5}$ of the total number of students like to eat chapati only.

Since it is given that the remaining students other than rice and chapati like to eat both rice and chapati and there are $40$ students in class.

So, the total number of students in the class in fractions can be represented as $\frac{40}{40}=1$.

Therefore, the remaining fraction of students who like to eat both rice and chapati can be given by: $1-\frac{1}{5}-\frac{2}{5}=\frac{2}{5}$.

Hence, $\frac{2}{5}$ of the total number of students like to eat both rice and chapati.