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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.

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

Solution:

We use the concept of ratio and proportion to answer the given questions.
We know that the total number of students in a class = 30.
The total number of students who like football = 6. 
The total number of students who like cricket = 12.
Since the remaining students like tennis, the total number of students who like Tennis = The total number of students in a class - The total number of students who like football - The total number of students who like cricket = 30 - 6 – 12 = 12
Therefore, the total number of students who like Tennis = 12

(a) We need to find the number of students liking football to the number of students liking tennis.
The number of students liking football to a number of students liking tennis = The total number of students who like football: The total number of students who like Tennis = 6:12.
Now, in order to write the ratio in its simplest form, we divide 6 and 12 by a common factor of 6.
Therefore, the number of students liking football to the number of students liking tennis = 1:2.
(b) We need to find the number of students liking cricket to the total number of students.
The number of students liking cricket to total number of students = The total number of students who like cricket: The total number of students in a class = 12:30
Now, in order to write the ratio in its simplest form, we divide 12 and 30 by a common factor of 6
Therefore, the number of students liking cricket to the total number of students = 2:5

NCERT Solutions for Class 6 Maths Chapter 12 Exercise 12.1 Question 2

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 the number of students liking tennis. (b) The number of students liking cricket to the total number of students.

Summary: 

Using the concept of ratio and proportion, it can be concluded that the number of students liking football to the number of students liking tennis and the number of students liking cricket to the total number of students in the class is 1:2 and 2:5 respectively.

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