Question

In a certain school,there are 456girls.Calculate the total number of students

if 24%of the total students are boys.​

Answer 1

Assume the total number of students to be 100.

It is given that 24% are boys.

So, total number of boys = 24% of 100 = 24

Thus, the total number of girls will be = (100-24)% i.e. 76%.

So, the total number of girls = 76% of 100 = 76

But, it is given that there are 456 girls.

Now, for 76 girls, total students are 100

For, 1 girl, total students will be 100/76

Therefore, for 456 girls, the total number of students will be = 100/76 × 456 = 45600/76 = 600

Thus, the total number of students = 600.

Answer 2

Let the total students be x

24% of x = 24x/100 = 6x/25

ATP :

x = 6x/25+456

x-6x/25 = 456

(25x-6x)/25 = 456

19x/25 = 456

x/25 = 24

x = 24×25

x = 600

Total number of students is 600

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