Question

the number of boys and girls are in the ratio 8 is to 5 the number of boys is 9 more than the number of girls what is the total strength of the class​

Answer 1

Answer:

Let the number of boys and girls be 8x and 5x respectively.

according to question,

8x = 5x + 9

or 8x - 5x = 9

or 3x = 9

or x = 9/3

or x = 3

Therefore, totalstrength of class = 8x + 5x

= 13 x = 13 × 3 = 39

Answer 2

Answer:

The total strength of the class = 117 students

Step-by-step explanation:

Given:

The number of boys and girls are in the ratio 8:5

The number of boys is 9 more than the number of girls

Find:

The total strength of the class

Solution:

Let,

The number of boys = 8x

The number of girls = 5x

Given that number of boys is is 9 more than the number of girl

No. of boys = No. of girls

8x = 5x + 9

⇒ 8x = 5x + 9

⇒ 8x - 5x = 9

⇒ 3x = 9

⇒ x = 9 / 3

⇒ x = 3

No. of boys = 8x

⇒ 8(9) = 8 × 9 = 72

⇒ 72

No. of girls = 5x

⇒ 5(9) = 5 × 9 = 45

⇒ 45

Total strength of the class = No. of boys + No. of girls

Total strength of the class =

⇒ 72 + 45

⇒ 117 students