Tickets to the movies cost $9.50 for adults and $6.50 for kids. A large group bought 12 tickets and spent a total of $87. How many kid's tickets did the group purchase?

Please include an equation.

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Answer:

  • 12 tickets

Step-by-step explanation:

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Answer:

  • 9 kid's tickets

Step-by-step explanation:

Given

  • Kid's tickets = k, one ticket costs $6.5, total cost 6.5k
  • Adult tickets = a, one ticket costs $9.5, total cost 9.5a

Equations:

  • a + k = 12
  • 9.5a + 6.5k = 87

Substitute a into second equation a = 12 - k and solve for k:

  • 9.5(12 - k) + 6.5k = 87
  • 114 - 9.5k + 6.5k = 87
  • 3k = 114 - 87
  • 3k = 27
  • k = 9