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23 November, 13:03

A school drama department sells 40 more student tickets than adult tickets. Charging $8 for adult tickets and $6 for student tickets, they raise a total of $1,920 in ticket sales. Let x represent the number of adult tickets sold and y represent the number of student tickets sold. Which system of equations can be used to find how many of each ticket is sold?

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  1. 23 November, 13:09
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    8x+6y=1920

    Y=40+x

    8x+6 (40+x) = 1920

    Solve for x

    X=120

    Y=40+120=160
  2. 23 November, 14:12
    0
    S=40+a

    6s+8a=1920, using s from above:

    6 (40+a) + 8a=1920

    240+6a+18a=1920

    24a=1680

    a=70 and since s=40+a, s=110

    70 adult and 110 student tickets were sold.
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