Showcase Cinemas sold a total of 8500 movie tickets on Thursday of last week. The revenue from those sales was $64,600. There are three types of tickets that can be purchased: a matinee ticket costs $5, a student ticket costs $6 for all day entry, and a regular admissions ticket costs $8.50. On that last Thursday, there were also twice as many student tickets as matinee tickets sold. How many of each type of ticket were sold?

Solve using either Inverse Matrices, Gaussian Elimination, or Gauss-Jordan Elimination. Make sure to check your answers.