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Algebra

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A music concert was attended by 450 people. Adult tickets sold for $70 and children’s tickets for $40. If total sales were $27,750, how much of each ticket was sold?

  • Algebra - ,

    Set up two equations

    a = adults
    c = children

    70a + 40c = 27750
    a + c = 450

    Solve by substitution or elimination

    Substitution:
    70a + 40c = 27750
    a = 450 - c

    Elimination:
    70a + 40c = 27750
    -70(a + c) = -70(450)

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