The number of boys and girls in a class are in the ratio 7:5. The number of boys is 8 more than the number of girls. What is the total class strength?

Solution:

The number of boys to girls is in the ratio of 7:5

So, we can infer that

Number of boys in class = 7x

Number of girls in class = 5x

Since the number of boys is 8 more than the number of girls,

⇒ 7x = 5x + 8

⇒ 7x - 5x = 8

⇒ 2x = 8

⇒ x = 4

Therefore,

Number of boys in class = 7x = 28

Number of girls in class = 5x = 20

Total class strength = Number of boys + Number of girls

= 28 + 20 = 48

Thus, the total strength of the class is 48 students.

☛ Check: NCERT Solutions for Class 8 Maths Chapter 2

Video Solution:

The number of boys and girls in a class are in the ratio 7:5. The number of boys is 8 more than the number of girls. What is the total class strength?

NCERT Solutions Class 8 Maths Chapter 2 Exercise 2.2 Question 10

Summary:

The number of boys and girls in a class are in the ratio 7:5. The number of boys is 8 more than the number of girls. The total class strength is 48.

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