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math

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a ticket booth sold 456 tickets and collected $2311.50 in ticket sales. Adult tickets are $6.50 and child tickets are $2. how many tickets of each type were sole?

  • math - ,

    I'll try to help.
    You know that a certain number of child tickets and a certain number of adult tickets must add up to equal 456.
    Say x = adult tickets (number)
    y = # child tickets

    So x + y = 456
    And the money collected is :
    6.5x + 2y = 2311.5

    2(x + y = 456) ==> 2x + 2y = 912.
    6.5x + 2y = 2311.5
    - (2x + 2y = 912)
    4.5x = 1399.5
    x = 1339.5 / 4.5 = 311

    311 + y = 456
    y = 145
    SO # adult tickets = 311 # child tickets = 145
    Hope that helped. Peace out.

  • math - ,

    Adult tickets --->
    children tickets --> 456-x

    6.5x + 2(456-x) = 2311.5
    times 2
    13x + 4(456-x) = 4623
    9x = 2799
    x = 311

    so 311 adult tickets and 145 children tickets

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