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The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $6 and each adult ticket sells for $9. There was a total of $747 in revenue from the sale of 98 total tickets. Write a system of equations that could be used to determine the number of student tickets sold and the number of adult tickets sold. Define the variables that you use to write the system.

The drama club is selling tickets to their play to raise money for the show's expenses-example-1

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Answer:

  • s + a = 98
  • 6s + 9a = 747

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Let the number of student tickets be s and adult tickets be a.

The total of student tickets is 6s and adult tickets is 9a.

Number of tickets is 98:

  • s + a = 98

Total revenue is $747:

  • 6s + 9a = 747
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