Question

in a class 3/5 of the total students are girls . if the number of boys is 24 then find the total strength of the class​

Answer 1

Hello

if 3/5 are girls, that means 2/5 are boys and boys are 24.

Let the total strength be 'x'

then, 2/5 of x is 24.

=> 2x/5 = 24

=>. 2x = 24x5

=>. 2x = 120

=>. x = 120/2

=>. x = 60

Therefore, the total strength is 60.

Hope this helps :)

Answer 2

Answer :-

• The total strength of the class is 60 students.

To find :-

• The total strength of the class.

Step-by-step explanation :-

• Before finding the total strength, we have to find the fraction of boys in the class.

Let :-

• The total strength of the class be "x".

It is given that :-

• In the class, 3/5 of the total students are girls.

Therefore,

The fraction of boys in the class is :-

$\longmapsto\sf 1 - \dfrac{3}{5}$

$\sf \longmapsto \dfrac{1 \times 5 - 3 \times 1}{5}$

$\sf \longmapsto \dfrac{5 - 3}{5}$

$\sf \longmapsto \dfrac{2}{5}$

-----------------------------------

Now,

• We know that 2/5 of the total students are boys.

It is given that :-

• The number of boys is 24.

Which means that :-

• 2/5 of x = 24.

-----------------------------------

• Now let's find the total strength!

$\tt \implies \dfrac{2}{5} \times x = 24$

$\tt \implies \dfrac{2x}{5} = 24$

$\implies \tt 2x = 24 \times 5$

$\implies \tt 2x = 120$

$\tt \implies x = \dfrac{120}{2}$

$\implies \underline{\boxed{\tt x = 60}}$

________________________

Hence :-

• There are 60 students in the class.