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​

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​

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Kaylee 10 months 2021-07-19T04:27:26+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-07-19T04:28:38+00:00

    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.
    0
    2021-07-19T04:29:02+00:00

    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 🙂

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