math

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a school's chorus bought 30 tickets to a play. total cost of tickets $98. if student tickets cost $3 and each adult tickets cost $5, how many adults are going with the chorus?
thanks

  • math -

    It's a system of equations

    Let's say that students = x,and that adults = y

    Now let's construct the system of equations:

    x + y = 30
    3x + 5y = 98

    Let's work by substitution with the first equation:

    x = 30 - y

    Lets the expression above in the second equation:

    3(30-y)+5y=98

    Now we solve for y:

    90-3y+5y=98
    -3y+5y=98-90
    2y=8
    y = 8/2
    y = 4

    So we said that y represent the number of adults, so we have 4 adults.

    30-4= 26 students

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