Stephanie’s school is selling tickets to a choral performance.On the first day of ticket sales the school sold 6 adult tickets and 6 child t

Question

Stephanie’s school is selling tickets to a choral performance.On the first day of ticket sales the school sold 6 adult tickets and 6 child tickets for a total of $144.The school took in $126 on the second day by selling 4 adult tickets and 6 child tickets .Find the prize of an adult ticket and the price of a child ticket

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Ayla 3 weeks 2021-09-27T06:09:07+00:00 1 Answer 0

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    2021-09-27T06:11:02+00:00

    Answer: an adult ticket costs $9

    A child’s ticket costs $15

    Step-by-step explanation:

    Let x represent the price of an adult ticket.

    Let y represent the price of a child ticket.

    On the first day of ticket sales the school sold 6 adult tickets and 6 child tickets for a total of $144. This means that

    6x + 6y = 144- – – – – – – – – – – – -1

    The school took in $126 on the second day by selling 4 adult tickets and 6 child tickets. It means that

    4x + 6y = 126 – – – – – – – – – – – – -2

    Subtracting equation 2 from equation 1, it becomes

    2x = 18

    x = 18/2

    x = 9

    Substituting x = 9 into equation 2, it becomes

    4 × 9 + 6y = 126

    36 + 6y = 126

    6y = 126 – 36

    6y = 90

    y = 90/6

    y = 15

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