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A movie theater sells tickets for $8 each, with seniors receiving a discount of $2. One evening the theater took in $3580 in revenue. There were 525 tickets sold that evening.
If x represents the number of tickets sold at $8 and y the number of tickets sold at the discounted price, which system of equations represent this situation?

Respuesta :

Answer:

8x+6y=3580

x+y=525

Step-by-step explanation:

x+y=525 explains the number of tickets sold, and 8x+6y=3580 includes numeric values of the prices.

fichoh

Creating a system of equation, the equations which represents the scenario described are :

  • x + y = 525
  • 8x + 6y = 3850

Given the Parameters :

  • Regular cost = $8
  • Discounted cost = $8 - $2 = $6
  • Total tickets sold = 525
  • Total revenue = 3580

The equations can be expressed thus :

x + y = 525 - - - - (1)

8x + 6y = 3850 - - - - (2)

Therefore, the values of x and y can be obtained using the equations above.

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