At a children’s show, 2/7 of the people attending were adults.The rest were children.2/5 of the children were boys.There were 120 girls atte

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At a children’s show, 2/7 of the people attending were adults.The rest were children.2/5 of the children were boys.There were 120 girls attending the performance. A.How many children were there at the children’s show?B.How many people were there at the children’s show?

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  1. Answer:

    A. 200 Children

    B. 280 People

    Step-by-step explanation:

    Let the total number of people attending the show be Y

    Given that  2/7 of the people attending were adults, the number of adults A

    A = 2/7 Y

    Since the rest were children, the number of children C

    C = Y – 2/7 Y

    = 5/7 Y

    2/5 of the children were boys, the number of boys B

    B = 2/5 * 5/7Y

    = 2/7 Y

    The number of Girls G

    G = 5/7 Y – 2/7 Y

    = 3/7 Y

    Given that there were 120 girls attending the performance

    3/7 Y = 120

    3Y = 120 * 7

    Y = 120 * 7/3

    = 280

    The number of children in the shown C

    = 5/7 * 280

    = 200

    The number of people at the show is Y = 280

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