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Adult tickets for a play cost $13 and child tickets cost $10. If there were 22 people at a performance and the theater collected $277 from ticket sales, how many adults and how many children attended the play?

  • math -

    Adult tickets sold = x
    Children's tickets sold = y

    x + y = 22
    13x + 10 y = 277

    Solve that pair of equations.
    Hint: substitute 22-x for y in the second equation, and solve for x. .

  • math -

    The next step would be
    13x + 220 - 10x = 277
    3x = 277-220 = 57
    Divide both sides by 3 and you have x.
    You know how to get y after that.

  • math -

    Adults= 11 30 total
    Child- 5

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