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.
Know more about linear equations here:
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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