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29 July, 10:53

A total of 900 tickets were sold for a game for a total of $1,150. if adult tickets sold for $2.00 and children's tickets sold for $1.00, how many of each kind of ticket were sold?

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  1. 29 July, 14:50
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    575 adult tickets and 325 child tickets were sold.

    adult tickets = a

    child tickets = c

    a + c = 900

    2a + c = 1150

    Subtract c from the equation on top to get a = 900 - c

    Substitute this value into the second equation 2 (900 - c) = 1150

    Simplify to make 1800 - 2c = 1150

    Add 2c to both sides

    1800 = 1150 + 2c

    Subtract 1150 from each side

    2c = 650

    Divide by 2 so that c = 325. Therefore, 325 child tickets were sold.

    To find the number of adult tickets, subtract 325 from 900

    The remaining number (a = 900 - 325 = 575) is how many adult tickets were sold. 575 adult tickets were sold.
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