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Sagot :
ANSWER:
The number of tickets sold per seat type:
Lower box = 1,000 tickets
Bleacher = 3,000 tickets
Upper box = 4,000 tickets
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SOLUTION:
Total: 8,000 tickets.
Number of tickets per seat type:
Lower box = x
Bleacher = 3x
Upper Box = y or 8,000 - 4x
x + 3x + y = 8,000
4x + y = 8,000
y = 8,000 - 4x
Ticket prices:
Lower box: 500 (x) or 500x
Bleacher: 150 (3x) or 450x
Upper: 300 (8,000 - 4x) or 2,400,000-1,200x
Equation:
500x + 450x + 2,400,000 - 1200x = 2,150,00
950x - 1,200x = 2,150.000
- 250x = -250,000
-250x/-250 = -250,000/-250
x = 1,000
Substitute 1,000 to x in:
y = 8,000 - 4 (1,000)
y = 8,000 - 4,000
y = 4,000
Substitute values of x and y to number of tickets:
Lower box: x = 1,000 tickets
Bleacher: 3x = 3 (1,000) = 3,000 tickets
Upper box: y = 4, 000 tickets
Ticket Prices:
Lower box: 500 (1,000) = 500,000
Bleacher: 150 (3,000) = 450,000
Upper box: 300 (4,000) = 1,200,000
TOTAL TICKET SALES = 2,150,000
CLICK image below to view printable solution
The number of tickets sold per seat type:
Lower box = 1,000 tickets
Bleacher = 3,000 tickets
Upper box = 4,000 tickets
-------------------------------
SOLUTION:
Total: 8,000 tickets.
Number of tickets per seat type:
Lower box = x
Bleacher = 3x
Upper Box = y or 8,000 - 4x
x + 3x + y = 8,000
4x + y = 8,000
y = 8,000 - 4x
Ticket prices:
Lower box: 500 (x) or 500x
Bleacher: 150 (3x) or 450x
Upper: 300 (8,000 - 4x) or 2,400,000-1,200x
Equation:
500x + 450x + 2,400,000 - 1200x = 2,150,00
950x - 1,200x = 2,150.000
- 250x = -250,000
-250x/-250 = -250,000/-250
x = 1,000
Substitute 1,000 to x in:
y = 8,000 - 4 (1,000)
y = 8,000 - 4,000
y = 4,000
Substitute values of x and y to number of tickets:
Lower box: x = 1,000 tickets
Bleacher: 3x = 3 (1,000) = 3,000 tickets
Upper box: y = 4, 000 tickets
Ticket Prices:
Lower box: 500 (1,000) = 500,000
Bleacher: 150 (3,000) = 450,000
Upper box: 300 (4,000) = 1,200,000
TOTAL TICKET SALES = 2,150,000
CLICK image below to view printable solution

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