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13 September, 01:08

At a concert, there are 3 times as many women as men. 3/5 of the men and 1/3 of the women wear glasses. there are 120 more women wearing glasses than men wearing glasses. how many people are at the concert?

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  1. 13 September, 01:11
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    Let us assume that the number of men at the concert = M

    The number of woman in the concert = W

    In the given problem, it is already told that there are 3 times the number of men in the concert.

    Then

    W = 3M

    M = W/3

    Total number of men and women wearing glasses = 3M/5 + W/3

    In the problem given, it is already told that there are 120 more women wearing glasses than men

    Then,

    3M/5 + 120 = W/3

    3M/5 + 120 = M

    M - 3M/5 = 120

    (5M - 3M) / 5 = 120

    2M/5 = 120

    M = 600/2

    = 300

    Number of Women in the concert = 3M

    = 3 * 300

    = 900

    Then the total number of people in the concert = 300 + 900

    = 1200
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