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A music band came to town. The amphitheater filled all 50,000 seats at two-level pricing. Level 1 tickets are $150 each, and level 2 tickets are $250 each. The amphitheater made $125,000 in ticket sales. The system of equations that models this scenario is:

x + y = 50,000
150x + 250y = 125,000

What do the x and y represent in the system?


Sagot :

Answer: The number of tickets of each level type sold.

Step-by-step explanation:

     In this system of equations, the x and y variables for this scenario represent the number of tickets of each level type sold. Here, x is equal to the number of level 1 tickets sold, and y is equal to the number of level 2 tickets sold.

     We know this is the case because level 1 tickets cost $150 and x is being multiplied by $150 in the cost equation, the same goes for $250-dollar level 2 tickets.