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MathematicsMathematics
3 January, 13:32

The school that Kayla goes to is selling tickets to a play. On the first day of ticket sales the school sold 6 senior citizen tickets and 11 child tickets for a total of $120. The school took in $24 on the second day by selling 2 senior citizen tickets and 1 child ticket. What is the price each of one senior citizen ticket and one child ticket?

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  1. 3 January, 17:04
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    6S + 11C = $120

    2S + 1 C = $24

    So solve equation 2 for C

    C = 24 - 2 S

    Subsitute in to eq 1

    6S + 11 (24-2S) = 120

    6S + 264 - 22S = 120

    264 - 16S = 120

    264 - 120 = 16S

    S = (264-120) / 16 = 144/16 = $9

    c = 24 - 2S = 24 - 2x9 = 24-18 = $6

    Senior Ticket is $9

    Children Ticket is $6
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