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21 February, 03:09

Johnny is selling tickets to a school play. On the first day of ticket sales he sold 14 senior citizen tickets and 4 child tickets for a total of $200. On the second day of ticket sales he sold 7 senior citizen tickets and 1 child ticket for a total of $92. What is the price of one child ticket?

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  1. 21 February, 03:11
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    Johnny is selling tickets to a school play. On the first day of ticket sales he sold 14 senior (S) citizen tickets and 4 child (C) tickets for a total of $200. On the second day of ticket sales he sold 7 senior (S) citizen tickets and 1 child (C) ticket for a total of $92. What is the price of one child ticket?

    14S + 4C = 200

    14S = 200 - 4C

    S = (200 - 4C) / 14

    7S + 1C = 92

    7S = 92 - C

    S = (92 - C) / 7

    (200 - 4C) / 14 = (92 - C) / 7

    7 x (200 - 4C) = 14 x (92 - C)

    1400 - 28C = 1288 - 14C

    1400 - 1288 = 28C - 14C

    112 = 14C

    C = 112/14 = 8

    the price of one child ticket = $8
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