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There are 20 girls and 15 boys in a class.
(a) What is the ratio of the number of girls to the number of boys?
(b) What is the ratio of the number of girls to the total number of students in the class?

Solution: We use the concept of ratio and proportion to answer the given question.

We know that the number of girls in a class = 20 and the number of boys in a class =15

Therefore, the total number of students in the class = The number of girls in a class + The number of boys in a class = 20 + 15 = 35

(a) We need to find out the ratio of the number of girls to the number of boys. A ratio indicates how many times one number contains another.

The ratio of number of girls to the number of boys = The number of girls in a class: The number of boys in a class = 20:15

Now, in order to write the ratio in its simplest form, we divide 20 and 15 by their highest common factor of 5

Therefore, the ratio of number of girls to the number of boys = 4:3

(b) We need to find the ratio of the number of girls to the total number of students in the class.

The ratio of number of girls to the total number of students in the class = The number of girls in a class: The total number of students in the class = 20:35

Now, in order to write the ratio in its simplest form, we divide 20 and 35 by their highest common factor of 5

Therefore, the ratio of number of girls to the total number of students in the class = 4:7

NCERT Solutions for Class 6 Maths Chapter 12 Exercise 12.1 Question 1

There are 20 girls and 15 boys in a class. (a) What is the ratio of the number of girls to the number of boys? (b) What is the ratio of the number of girls to the total number of students in the class?

Summary:

Using the concept of ratio and proportion, it can be concluded that the ratio of the number of girls to the number of boys in a class and the ratio of the number of girls to the total number of students in the class are 4:3 and 4:7 respectively.

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