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​

2 thoughts on “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​”

1. 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 :-

   [tex]\longmapsto\sf 1 – \dfrac{3}{5}[/tex]

   [tex]\sf \longmapsto \dfrac{1 \times 5 – 3 \times 1}{5}[/tex]

   [tex]\sf \longmapsto \dfrac{5 – 3}{5}[/tex]

   [tex]\sf \longmapsto \dfrac{2}{5}[/tex]

   ———————————–

   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!

   [tex]\tt \implies \dfrac{2}{5} \times x = 24[/tex]

   [tex]\tt \implies \dfrac{2x}{5} = 24[/tex]

   [tex]\implies \tt 2x = 24 \times 5[/tex]

   [tex]\implies \tt 2x = 120[/tex]

   [tex]\tt \implies x = \dfrac{120}{2}[/tex]

   [tex]\implies \underline{\boxed{\tt x = 60}}[/tex]

   ________________________

   Hence :-

   • There are 60 students in the class.

   Reply

2. 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 = 24×5

   =>. 2x = 120

   =>. x = 120/2

   =>. x = 60

   Therefore, the total strength is 60.

   Hope this helps 🙂

   Reply