(40 POINTS) Let x = price of a standard ticket, y = price of a matinee ticket, and z = price of a senior ticket.
150x + 80y + 12z = 2,466
380x + 95y + 48z = 5,419
210x + 130y + 60z = 3,960
220x + 225y = 4,445
540x + 270y = 8,370 → y = −2x + 31
x = 11
The solutions to the system mean:
A.) Eleven tickets were sold on Friday. Nine tickets were sold on Saturday. Eight tickets were sold on Sunday.
B.) Eleven standard tickets were sold. Nine matinee tickets were sold. Eight senior tickets were sold.
C.) The price of a standard ticket is $11. The price of a matinee ticket is $9. The price of a senior ticket is $8.