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# 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."

Given:

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

To do:

We have to 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.

Solution:

Students who like football in the class $=6$

Students who like cricket in the class $=12$

The remaining students who like tennis can be obtained by subtracting students who like football and cricket from the total students.

$ =30-6-12$

$ = 30-18$

$ =12$

(a) The ratio of the number of students liking football to the number of students liking tennis$ =\frac{6}{12}$

$ ={1}{2}$

The ratio of the number of students liking football to the number of students liking tennis is $1 : 2$.

(b) The ratio of the number of students liking cricket to the total number of students$ =\frac{12}{30}$

$ = \frac{2}{5}$

The ratio of the number of students liking cricket to the total number of students is $2 : 5$.

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