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Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,791 was collected on the sale of 1,275 tickets. How many of each type of ticket were sold?

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sqdancefan

9514 1404 393

Answer:

  • 379 adult tickets
  • 896 student tickets

Step-by-step explanation:

Let 'a' represent the number of adult tickets sold. Then (1275-a) is the number of student tickets sold. The total revenue was ...

  5a +1(1275 -a) = 2791

  4a = 1516 . . . subtract 1275 and simplify

  a = 379 . . . . . divide by 4

  1275-a = 896

379 adult and 896 student tickets were sold.

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