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A Broadway musical came to town. The auditorium filled all 1,000 seats at two-level pricing. Level 1 tickets are $75 each, and level 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?

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Answer:

x = the amount of level one tickets sold

y = the amount of level 2 tickets sold

In the equation, x represents the total number of level 1 tickets sold while y represents the total number of level 2 tickets sold.

The equation given in the question is:

  • x + y = 1,000
  • 75x + 100y = 25,000

Therefore, based on the above equation, x represents the total number of level 1 tickets sold while y represents the total number of level 2 tickets sold.

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