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4 September, 07:01

The ratio of adults to children at a concert is expected to be 2 to 5. If 200 people attend, how many are expected to be children?

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  1. 4 September, 10:53
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    The expected number of children to attend the concert is 143.

    Step-by-step explanation:

    The total guest expected to attend the concert = 200

    Here, Ratio of Adults: Children = 2: 5

    Let us assume the common factor in the given ratio = m

    So, the expected number of adults to attend the concert = 2 m

    Also, the expected number of children to attend the concert = 5 m

    Number of (Adults + Children) attending concert = 200

    ⇒ 2 m + 5 m = 200

    or, 7 m = 200

    or, m = 200 / 7 = 28.57

    or, m = 28.57

    Now, the expected number of children to attend = 5 m

    = 5 x 28.57 = 142.85 ≈ 143

    Hence, the expected number of children to attend the concert is 143.
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