A Broadway musical came to town. The auditorium filled all 1,000 seats at two-level pricing. Level 1 tickets are $75 each, and l
evel 2 tickets are $100 each. The theater made $25,000 from ticket sales. The system of equations that models this scenario is: x + y = 1,000
75x + 100y = 25,000
What do the x and y represent in the system?
x represents the number of level 1 tickets; y represents the number of level 2 tickets
x represents the number of level 2 tickets; y represents the number of level 1 tickets
x represents the cost of level 1 tickets; y represents the cost of level 2 tickets
x represents the cost of level 2 tickets; y represents the cost of level 1 tickets
x represents the number of level 1 tickets; y represents the number of level 2 tickets
Step-by-step explanation:
The first equation (x + y = 1,000
) shows that x + y equal to the number of seats in the auditorium. That means that they represent the number of tickets. In the second equation (75x + 100y = 25,000) x and y are being multiplied by the cost of their level ticket. So x represents the number of level 1 tickets; y represents the number of level 2 tickets.
