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6 October, 06:26

The theatre charges $9 for each adult ticket and $6 for each child ticket. the theatre sold 144 tickets for the first showing of the new release. the total money collected from ticket sales for that show was $1164. write a system of equations that could be used to find the number of child tickets and the number of adult tickets sold, and solve the system algebraically.

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  1. 6 October, 09:43
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    X=number of adult tickets

    y=number of child tickets

    I suggest this system of equations:

    x+y=144

    9x+6y=1164

    we can solve this system of equations by substitution method.

    x=144-y

    9 (144-y) + 6y=1164

    1296-9y+6y=1164

    -3y=1164-1296

    -3y=-132

    y=-132/-3=44

    x=144-y

    x=144-44=100

    Answer: the theatre sold 100 adult tickets and 44 child tickets.
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