Suppose on the first day, 80 adult, 120 student, and 20 senior tickets were sold with a total of $1,460 in ticket sales. On the second day, $1,535 in ticket sales were generated with 70 adult tickets, 150 student tickets, and 15 senior tickets sold. On the third day, 100 adult tickets, 200 student tickets and 50 senior tickets sold that generated $2,250 in sales. Set up a system of equatrions to represent this, initialize your variables, and determine the cost of an adult ticket, student ticket, and senior ticket.