Question 438549: For this problem i just need to know the last equation.
A minor league baseball park has 7000 seats. Box seats cost $6,grandstand seats cost $4, and bleachers seats cost $2. When all seats are sold, the revenue is $26400. If the number of box seats is one-third the number of bleachers seats, how many seats of each type are there?
My 2 equations are
x + y + z = 7000
6x + 4y +2z = 26400
What is the last equation?
Found 3 solutions by solver91311, Edwin McCravy, stanbon:
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
The number of box seats is one-third the number of bleacher seats, so:
Write back with your solution and I'll check it for you.
John
My calculator said it, I believe it, that settles it
Answer by Edwin McCravy(20056)  (Show Source):
You can put this solution on YOUR website! For this problem i just need to know the last equation.
A minor league baseball park has 7000 seats. Box seats cost $6,grandstand seats cost $4, and bleachers seats cost $2. When all seats are sold, the revenue is $26400. If the number of box seats is one-third the number of bleachers seats, how many seats of each type are there?
My 2 equations are
x + y + z = 7000
6x + 4y +2z = 26400
What is the last equation?
It comes from this sentence:
"the number of box seats, x, is one-third the number
of bleachers seats, z"
That says:
x is one-third of z
or
x = ⅓z
and then you can clear of fractions by multiplying
both sides by 3 and getting
3x = z
And you could rearrange it as
3x - z = 0
Then your system is
x + y + z = 7000
6x + 4y +2z = 26400
3x - z = 0
answer: x = 400, y = 5400, z = 1200
Edwin
Answer by stanbon(75887)  (Show Source):
You can put this solution on YOUR website! For this problem i just need to know the last equation.
A minor league baseball park has 7000 seats. Box seats cost $6,grandstand seats cost $4, and bleachers seats cost $2. When all seats are sold, the revenue is $26400. If the number of box seats is one-third the number of bleachers seats, how many seats of each type are there?
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What is the last equation?
Seat Equation: x + y + z = 7000
Value Equation:6x + 4y +2z = 26400
Quantity Eq:: x = (1/3)z
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Cheers,
Stan H.
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