Question

In a school 45%of student are girls. If there 220 boys then the total number of students is?

Answer 1

The total number of students is $400$.

Step-by-step explanation:

Let the total number of students be $x$.

Since $45\%$ of the students are girls, then $(100-45)\%=55\%$ of the students are boys.

Now, $55\%$ of $x$ is $\dfrac{55x}{100}$.

According to the question,

$\quad \dfrac{55x}{100}=220$

$\Rightarrow x=220\div\dfrac{55}{100}$

$\Rightarrow x=220\times\dfrac{100}{55}$

$\Rightarrow x=4\times 100$

$\Rightarrow x=400$

So, the total number of students is $400$.

Answer 2

Given,

In a school 45% of students are girls.

Boys = 220

To find,

The total number of students.

Solution,

The total number of students will be 400.

We can easily solve this problem by following the given steps.

According to the question,

In a school 45% of students are girls.

Boys = 220

Now, let's take the total number of students to be x.

The percentage of boys = (100-percentage of girls)%

Boys = (100-45)%

Boys = 55%

So,

55% of the total students = 220

55x/100 = 220

Using the cross multiplication method,

55x = (220×100)

x = (220×100)/55

x = 400

Hence, the total number of students is 400.