Brozony musical was attended by a total of 2233 people, including men, women and children. The number of women who atended the event w

Question

Brozony musical was attended by a total of 2233 people, including men, women and children. The number of women who atended the event
was more than 3 times the number of children while the number of men was less than 4 mes the number of women. Wirite an ecuation to
model this station. Then use the ention to find the number of men, women and children who attended the musical

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Nick 5 years 2021-08-21T03:37:57+00:00 1 Answers 10 views 0

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  1. Eirian
    0
    2021-08-21T03:39:47+00:00
    Reply

    Answer:

    Let x represents the number of children in the Broadway musical,

    Since, The number of women who attended the event was 5 more than 3 times the number of children,

    ⇒ The number of women = 3x + 5

    Also, the number of men was 3 less than 4 times the number of women,

    ⇒  The number of men = 4(3x+5)-3 = 12x + 20 – 3 = 12x + 17

    Thus, the total number of persons = x + 3x + 5 + 12x + 17 = 16x + 22

    According to the question,

    16x + 22 = 2838

    Which is the required equation,

    Subtract 22 on both sides,

    16x = 2816 ⇒ x = 176

    Hence, the total number of children = 176

    The number of women = 3 × 176 + 5 = 533

    And, the number of men = 12 × 176 + 17 = 2129

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