Intermediate algebra, concepts and graphs

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Tickets for a school event were $2.50 for students and $3.50 for parents. If a total of 80 tickets were sold for $234.00, how many students and parent tickets were sold?

  • Intermediate algebra, concepts and graphs -

    st = Number of students

    pr = Number of parents

    pr = 80 - st


    2.5 * st + 3.5 * pr = 234

    2.5 * st + 3.5 * ( 80 - st ) = 234

    2.5 st + 3.5 * 80 - 3.5 St = 234

    2.5 st + 280 - 3.5 st = 234

    280 - st = 234 Add st to both sides

    280 - st + st = 234 + st

    280 = 234 + st Subtract 234 to both sides

    280 - 234 = 234 + st - 234

    46 = st

    st = 46

    pr = 80 - 46 = 34

    46 students and 34 parents


    Proof :

    2.5 $ * 46 + 3.5 $ * 34 = 115 $ + 119 $ = 234 $

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