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5 September, 00:28

At a concert 20% of the people are wearing black dresses or suits, 1/4 are wearing navy, 0.35 are wearing brown, and the rest are wearing a variety of colors. write the percent, fraction, and decimal for the rest of the other people that are wearing other colors

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  1. 5 September, 00:53
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    Let us assume the total number of people at the concert = x

    Then

    Number of people wearing black dresses or suits = (20/100) * x

    = x/5

    Number of people wearing navy = (1/4) * x

    = x/4

    Number of people wearing brown = 0.35 * x

    = (35/100) * x

    = 7x/20

    So

    The number of people wearing a variety of colors = x - [ (x/5) + (x/4) + (7x/20) ]

    = x - [ (4x + 5x + 7x) / 20]

    = x - (16x/20)

    = x - (4x/5)

    = (5x - 4x) / 5

    = x/5

    So it can said from the above deduction that 1/5th of the total number of people were wearing variety of color dresses.
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