In an examination hall 144 people were present. of these 1/2 were boys and of them 4/9 were girls. The rest were teachers. How man

In an examination hall 144 people were present. of these 1/2 were boys and of them 4/9 were girls. The rest were teachers. How many students were there in the hall?​

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  1. Step-by-step explanation:

    Given:

    In an examination hall 144 people were present. of these 1/2 were boys and of them 4/9 were girls. The rest were teachers.

    To find:

    How many students were there in the hall?

    Solution:

    Given that

    Total number of people were present in the examination hall = 144

    Number of boys = 1/2 of the total people

    => (1/2)×144

    => 144/2

    => 72

    Total number of boys = 72

    Total number of girls = 4/9 of the total people

    => (4/9)×144

    => (4×144)/9

    => 4×16

    => 64

    Number of girls = 64

    Total number of boys and girls = 72+64 = 136

    Total number of teachers

    => 144-136

    =>8

    Number of teachers = 8

    (or)

    Total people present in the examination hall

    => boys+girls+teachers

    => (144/2)+(4×144/9)+ Teachers = 144

    => Teachers = 144 – (144/2)-(4×144/9)

    => Teachers = 144 -72-64

    => Teachers = 144 – 136

    Number of teachers = 8

    Answer:

    Total number of students were present in the examination hall = 136

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