Question

The boy's and girls in a school are in ratio 8:3 if the number of girls is 405 how many boys are there

Answer 1

A ratio is a form of comparing two quantities. Given that "X" and "Y" are the quantities, it is generally the format - X:Y.

Given: Ratio of the number of boys and girls in a school is 8:3; 405 girls.

To find: The number of boys.

Answer:

Let us take the ratio as 8x:3x.

We know that there are 405 girls.

Therefore,

3x = 405

x = 405/3

x = 135

Since we have the value of x, we are able to find the number of boys.

8x = 8*135 = 1080

Verification:

Number of girls = 405

Number of boys = 1080

∴ ratio of boys to girls = 1080:405

Simplifying, we get 8:3

                                             Hence verified.

Answer 2

Answer:

Step-by-step explanation:

Given :-

Ratio of Boys and Girls = 8 : 3

Number of Girls = 405

To Find :-

Number of Boys

Solution :-

Let the number of boys and girls be 8x and 3x receptively.

According to the Question,

⇒ 3x = 405

⇒  x = 405/3

⇒  x = 135

Number of Boys = 8x = 8 × 135 = 1080

Hence, the number of boys are 1080.