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30 May, 10:39

marias school is selling tickets to the annual talent show. On thr first day ticket sales the school sold 4 adult tickets and 12 child tickets for total of $80. the school took $41 on the second day by selling 1 adult ticket and 10 child tickets. find the price of an adult ticket and the price of a child ticket.

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  1. 30 May, 10:48
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    Let us say,

    Price of adult ticket=x

    Price of child ticket = y

    On the first day ticket sales the school sold 4 adult tickets and 12 child tickets for total of $80

    4x+12y=80 ... (1)

    took $41 on the second day by selling 1 adult ticket and 10 child tickets

    1x+10y=41 ... (2)

    x=41-10y ... (3)

    plugging the value of x from equation (3) in equation (1) we get,

    4 (41-10y) + 12y=80

    164-40y+12y=80

    84=28y

    y=3

    plugging this value of y in equation (2) we get,

    1x+10 (3) = 41

    x=11

    Price of adult ticket = 11 dollars

    Price of child ticket = 3 dollars
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