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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?

  • math -

    Adult: a
    Children: c
    a + c = 450
    70a + 40c = 27750
    Substitute
    c = 450 -a

    70a + 40(450 - a) = 27750
    70a + 18000 -40a = 27750
    30a + 18000 = 27750
    30a + 18000- 18000= 27750-18000
    30a = 9750
    30a/30 = 9750/30
    a = 325
    c = 450 -a
    c = 450-325
    c = 125

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