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Math Help - [SOLVED] Writing sytems of equations?

  1. #1
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    [SOLVED] Writing sytems of equations?

    At the school play on Friday night, 120 tickets were sold. Student tickets cost $5 each and Adult tickets cost $7 each. The total sales for the evening were $670. How many of each type of ticket were sold?

    How would I write a system of equations that represent this problem?
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  2. #2
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    Hi deekay930

    Let : x = student ticket and y = adult ticket

    So :
    1) total 120 tickets means that ..... (related to x and y)

    2) total money $670 means that....(related to x and y, if you sold x @ $5 and y @ $7 )
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  3. #3
    Junior Member SirOJ's Avatar
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    Quote Originally Posted by deekay930 View Post
    At the school play on Friday night, 120 tickets were sold. Student tickets cost $5 each and Adult tickets cost $7 each. The total sales for the evening were $670. How many of each type of ticket were sold?

    How would I write a system of equations that represent this problem?

    let x = student ticket
    let y = adult ticket

    x + y = 120 -------> number of tickets sold
    5x + 7y = 670 -------> price of tickets sold


    solving you should get y = 35 & x = 85
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