Question

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​

Answer 1

Answer:

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