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Box Seat tickets for the baseball game cost $4 each and General admission tickets cost $3 each. If 1787 people attended the game and the total amount sold was $5792, find the number of each kind of ticket sold.

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sqdancefan

Answer:

  • 431 box seats
  • 1356 general admission

Step-by-step explanation:

Let x represent the number of box seat tickets sold. Then (1787-x) is the number of general admission tickets sold and the total revenue is ...

  4x +3(1787-x) = 5792

  x = 5792 -3(1787) = 431 . . . collect terms; subtract 3·1787; box tickets sold

  1787 -x = 1356 . . . .  GA tickets sold

There were 431 Box Seat tickets and 1356 General Admission tickets sold.

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