Question

A sports team came to town. The stadium filled all 10,000 seats at two-level pricing. Level 1 tickets are $50 each, and level 2 tickets are $150 each. The stadium made $75,000 in ticket sales. The system of equations that models this scenario is:

x + y = 10,000
50x + 150y = 75,000

What do the x and y represent in the system?

A.x represents the number of level 2 tickets; y represents the number of level 1 tickets
B.x represents the cost of level 1 tickets; y represents the cost of level 2 tickets
C.x represents the cost of level 2 tickets; y represents the cost of level 1 tickets
D.x represents the number of level 1 tickets; y represents the number of level 2 tickets

Answer 1

Answer:

D. $x$ represents the number of level 1 tickets; $y$ represents the number of level 2 tickets

Explanation:

The costs of the tickets are represented as constants ($50$ and $150$), and so they are not variables.

We know $x$ is level 1 tickets and $y$ is level 2 tickets because the price of a level 1 ticket is $50 and the second equation contains $50x$.  Similarly, the cost of a level 2 ticket is $150 and the equation contains $150y$.

Answer 2

Answer:

(D) X represents the number of level 1 tickets.