How do you do this problem about theatre seating?

A theatre contains 500 seats and the ticket prices for a recent play were $43 for adults and $28 for children. If the total proceeds for one matinee were $16,805, how many of each ticket were sold?

is it like 500 = 43x + 28(43-x) or something??

3 Answers

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  • 8 years ago
    Favorite Answer

    43x + 28(500-x) = 16805

    43x + 14000 - 28x = 16805

    15x = 2805

    x = 2805/15 = 187adults.

  • 8 years ago

    Not quite.

    16,805 = total proceeds

    16,805 = 43x + 28y

    ...I think.

    I stand corrected, guy above me is right; assuming that all seats sold:

    16,805 = 43x + 28(500 - x) would be the correct answer.

    this is because x is the number who of adults who bought a ticket so 500-x would be the children.

    Source(s): me
  • Mike G
    Lv 7
    8 years ago

    A = Adult number

    C = Child number

    43A+28C = 16,805

    If we assume the theatre was full A+C = 500

    C = 500-A

    43A+28(500-A) = 16,805

    43A+14,000-28A=16,805

    A = 187

    C = 313

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