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

Question

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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Isabelle 2 weeks 2021-09-10T09:17:55+00:00 1 Answer 0

Answers ( )

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    2021-09-10T09:19:07+00:00

    Answer:

    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 – 2×9 = 24-18 = $6

    Senior Ticket is $9

    Children Ticket is $6

    Step-by-step explanation:

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