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The cost of a ticket to the circus is $25.00 for children and $50.00 for adults. On a certain day, attendance at the circus is 2,000 and the total gate revenue is $70,000. How many children and how many adults bought tickets?

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  1. 3 August, 20:51
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    The answer to your question is:

    1200 children and 800 adults

    Step-by-step explanation:

    Data

    Children = $ 25 = c

    Adults = $ 50 = a

    Attendance = 2000

    Revenue = $70000

    # of children and adults.

    c + a = 2000 (I)

    25c + 50a = 70000 (II)

    Multiply I by - 25

    -25 c - 25 a = - 50000

    25c + 50a = 70000

    25a = 20000

    a = 800

    c + 800 = 2000

    c = 2000 - 800

    c = 1200
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