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10 January, 10:47

The school that Brenda goes to is selling tickets to the annual talent show. On the first day of the ticket sales the school sold 2 adult tickets and 14 child tickets for a total of $96. The school took in $120 on the second day by selling 12 adult tickets and 8 child tickets. find the price of an adult ticket and the price of a child ticket.

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  1. 10 January, 13:01
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    A=cost er adult ticket

    c=cost per child ticket

    2a+14c=96

    12a+8c=120

    solve

    simplify by dividing firs equation by 2 and 2nd by 4

    a+7c=48

    3a+2c=30

    multiply first equaiton by - 3 and add to second

    -3a-21c=-144

    3a+2c=30 +

    0a-19c=-114

    -19c=-114

    divide both sides by - 19

    x=6

    sub back

    a+7c=48

    6+7c=48

    minus 6

    7c=42

    divide 7

    c=6

    adult ticket=$6

    child ticekt=$6
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