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March 30, 2017

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Tickets to the school musical cost $3 for students and $5 for non students. Total ticket sales were $1790. The number of student tickets sold was 100 less than twice the number of non student tickets sold.

Write a system of equations to represent this situation. Solve the system of equations. How many student tickets sold? How many non students?

  • Algebra 2 - ,

    3s+5n = 1790
    s = 2n-100
    (s,n) = (190,280)

  • Algebra 2 - ,

    5n + 3n = 1790
    n= tickets sold for non student
    2n-100 = tickets sold for student
    So,
    5n + 3(2n-100)= 1790
    5n + 6n - 300 = 1790
    11n = 1790+300
    11n= 2090
    n= 190
    So, substituting the value of n we 5(190)+ 3(2(190)-100) =1790
    950 + 840 =1790

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