# 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."

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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 $2 : 5$.

Updated on 10-Oct-2022 13:36:46