Question

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 ?​

Answer 1

Answer:

Let us assume the number of boys and the number of girls is 7x and 5x.

According to the given data in the question,

7x = 5x + 8

Transposing 5x to the LHS we get,

7x - 5x = 8

2x = 8

Dividing both sides by 2

x = 4

Hence number of boys = 7

4 = 28

and number of girls = 5

4 = 20

So total number of students = 28 + 20 = 48.

Answer 2

Answer:

The total class strength is 48 students.

Step-by-step explanation:

Let the number of boys = 7x

and the number of girls = 5x

The total number of students = 12x

According to the question:

5x + 8 = 7x

⇒ 2x = 8

⇒ x = 4

Total class strength = 12 × 4

                                 = 48 students