SOLUTION: The Chicago Bulls� arena is called the United Center and the Dallas Mavericks� arena is called the
American Airlines Center. They have a combined capacity of 42,700 people. Fi
Algebra.Com
Question 1103529: The Chicago Bulls� arena is called the United Center and the Dallas Mavericks� arena is called the
American Airlines Center. They have a combined capacity of 42,700 people. Five times the
capacity of the American Airlines Center is 2,000 more than four times the capacity of the United
Center. What is the capacity of each arena?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
The Chicago Bulls� arena is called the United Center and the Dallas Mavericks� arena is called the
American Airlines Center. They have a combined capacity of 42,700 people. Five times the
capacity of the American Airlines Center is 2,000 more than four times the capacity of the United
Center. What is the capacity of each are
They have a combined capacity of 42,700 people
Let the AA center hold x people
Five times the capacity of the American Airlines Center = 5x
2,000 more than four times the capacity of the United
Center. let UC hold y people
For equating
4y+2000
5x = 4y+2000
5x-4y=2000................1
Combined capacity = 42700
x+y=42700 ...................2
Multiply 2 by 4
4x+4y=170800 add ..........................3
add 2 & 3
9x = 172800
x =19,200
y is balance 23500
The capacity of the United Center is 23,500 and that of the American Airlines Center is 19,200.
check
5*19200-4*23500=2000
RELATED QUESTIONS
A sports arena is in the shape of a rectangle. The arena has a length of (x − 3)... (answered by stanbon,Alan3354)
According to flightstats.com, American Airlines flights from Dallas to Chicago are on... (answered by ikleyn)
Steve Gomez wishes to build a rectangular gaming arena for his buddies, Reyna and... (answered by CPhill)
The arena of a rectangle is x^2+3x+10. Find the dimensions of the rectangle in terms of... (answered by Alan3354)
In the expression (-2)^5, the 5 is called the ______________, and the -2 is called the... (answered by Earlsdon)
In the expression {{{2^4}}}, the 4 is called the _________ , and the 2 is called the... (answered by Mathtut)
The total number of seats in a basketball sports arena is 12,000. The arena is divided... (answered by mananth,stanbon)
In the expression (-5)² , the -5 is called the ____________, and the 2 is called... (answered by Mathematicians)
In the expression below, b is called the _____, and n is called the... (answered by Fombitz,richwmiller)