a racetrack charges $80 each seat in the lower section, $65 for each seat in the upper sections, and $30 for field tickets. there are three times the number of seats in the upper section as compare to the lower section. the revenue from selling all 21,200 seats is $915,000. how many of each ticket were sold at the racetrack?​

Respuesta :

The number of each ticket sold was:

  • The upper section contains 5160 seats, the lower section contains 1720 seats, and the field contains 17320 seats.

Given Information:

  • Each seat in the lower section costs $80, each seat in the upper section costs $60, and field tickets cost $40.
  • The upper section has three times the number of seats as the lower section.
  • The total revenue from the sale of all 24,200 tickets is $1,140,000.

The steps below can be used to calculate the total number of seats in each section:

Step 1 - In the lower section, enter 'x' as the total number of seats.

  • So, based on the data provided, the total number of seats in the upper field is '3x'.
  • Let y be the total number of seats in the field.

Step 2 - The linear equation that represents total ticket revenue.

  • 80x + 60(3x) + 40y = 1140000
  • 260x + 40y = 1140000 ...(1)

Step 3 - The linear equation representing the total number of tickets is as follows:

  • x + 3x + y = 24200
  • y = 24200 - 4x ...(2)

Step 4: Change the value of y in the equation (1).

  • 260x + 40(24200 - 4x) = 1140000
  • x = 1720 tickets

Step 5: Change the value of 'x' in equation (2).

  • y = 24200 - 4(1720)
  • y = 17320 tickets

Therefore, the number of each ticket sold was:

  • The upper section contains 5160 seats, the lower section contains 1720 seats, and the field contains 17320 seats.

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The correct question is given below:
A racetrack charges $80 for each seat in the lower section, $60 for each seat in the upper section, and $40 for field tickets. There are three times the amount of seats in the upper section as the lower section. The revenue from selling all 24,200 tickets is $1,140,000. write a system to represent the situation. How many seats are in each section

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