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15 November, 08:22

For a saturday matinee, adult tickets cost $4.50 and kids under 12 pay only $2.00. if 90 tickets are sold for a total of $330, how many of the tickets were adult tickets and how many were sold to kids under 12

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  1. 15 November, 09:49
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    Adult = a, kids under 12 = k

    [cost of tickets] 4.50a + 2k = 330 - - - (1)

    [number of tickets] a+k = 90 - - - (2)

    (2) multiplied by 2

    so 2a + 2k = 180 - - - (3)

    (1) minus (3)

    so 2.50a = 150

    a = 60

    then a+k = 90

    60+k = 90

    so k = 30

    Then 60 adult tickets and 30 kids under 12 were sold.
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