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Adults tickets for the school musical sold for $3.50 and students tickets 11. sold for $2.50. Three hundred twenty-one tickets were sold altogether for $937.50. How many of each kind of ticket were sold?

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sqdancefan

Answer:

  • 135 adult tickets
  • 186 student tickets

Step-by-step explanation:

Let x represent the number of adult tickets sold. Then (321-x) is the number of student tickets sold. The total revenue is ...

  3.50x + 2.50(321-x) = 937.50

  x + 802.50 = 937.50 . . . . . eliminate parentheses, collect terms

  x = 135 . . . . . . subtract 802.50; number of adult tickets

  321-x = 186 . . . . number of student tickets

135 adult tickets and 186 student tickets were sold.

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