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23 March, 11:49

Initially, $40/%$ of the students at the school dance are girls. Then, $15$ more girls arrive, after which $52/%$ of the students at the dance are girls. How many students are now at the dance after the additional girls arrive?

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  1. 23 March, 11:58
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    This is the concept of algebra, to get the total number of dancers we proceed as follows. Let total number of dancers be x;

    number of girls will be:

    40/100*x

    =0.4x

    When the number of girls increase by 15, the new number of dances will be:

    x+15 dancers

    The new number of girls will be:

    0.4x+15

    since the new number of girls have increased to 52%, then the total number of dancers will be:

    (0.4x+15) / (x+15) * 100=52

    (0.4x+15) / (x+15) = 0.52

    0.4x+15=0.52 (x+15)

    solving for x we get

    0.4x+15=0.52x+7.8

    putting like terms together and simplifying we get:

    -0.12x=-7.2

    thus

    x=-7.2 / (-0.12)

    x=60

    thus the total number of dancers on the floor was 60
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