Question

fifty five percent of the student in a school are girls.find the total number of students in the school if number of boys is 180​

Answer 1

Answer:

The total students are 400.

Step-by-step explanation:

Given :

Girls in the school = 55%

Boys = 180

To find :

The total students

Solution :

Consider the total students as y

★ Percentage of boys =

⇒ 100 - Percentage of Girls

⇒ 100 - 55

⇒ 45%

Boys = 45%

$\rule{300}{1.5}$

As boys are 180 in number, 45% of the total students is 180.

⇒ $\sf{45\% \: of \: y = 180}$

⇒ $\sf{\dfrac{45}{100} \times y = 180}$

⇒ $\sf{ \dfrac{45y}{100} = 180}$

⇒ $\sf{45y = 180 \times 100}$

⇒ $\sf{45y = 18000}$

⇒ $\sf{y = \dfrac{18000}{45}}$

⇒ $\sf{y = 400}$

Total Students = 400

$\therefore$ The total students are 400.

Answer 2

Answer:

Girls % = 55%

Boys = 180

So, boys' % =

==> 100 - 55

==> 45 %

Boys = 45%

45% of total Students = Number of boys

Let the total Students be as z

==> 45/100 × z = 180

==> 45z = 180 × 100

==> 45z = 18000

==> z = 400

.°. The total number of students in the school is 400.