Last Tuesday, Regal Cinemas sold a total of 8500 movie ticke…
Last Tuesday, Regal Cinemas sold a total of 8500 movie tickets. Proceeds totaled $64,600. Tickets can be bought in one of 3 ways: a matinee admission costs $5, student admission is $6 all day, and regular admissions are $8.50. How many of each type of ticket was sold if twice as many student tickets were sold as matinee tickets? Given x = regular tickets, y = student tickets, and z = matinee tickets, give the answer in the format (x, y, z) if there is a solution and `no solution` if it cannot be solved. (space between `,` and `#`)