Question

Out of $30$ students in a class, $6$ like football, $12$ like cricket and remaining like tennis. Find the ratio of

(a) Number of students liking football to number of students liking tennis.

(b) Number of students liking cricket to total number of students.

Answer 1

Step 1: Calculate the ratio of number of students liking football to number of students liking tennis.

Know that here out of $30$ students in a class, $6$ like football, $12$ like cricket and remaining like tennis.

So, the number of students playing tennis:

$\begin{array}{c}30-(6+12)=30-18\\ =12\end{array}$

Therefore, the ratio of number of students liking football to number of students liking tennis:

$\frac{6}{12}=\frac{1}{2}$

Step 2: Calculate the ratio of number of students liking cricket to total number of students.

Therefore, the ratio of number of students liking cricket to total number of students:

$\frac{12}{30}=\frac{2}{5}$

Hence, the ratio of number of students liking football to number of students liking tennis is $\frac{1}{2}$ and the ratio of number of students liking cricket to total number of students is $\frac{2}{5}$.