SOLUTION: A concert sells out a 20,000 seat arena. They sell first seat tickets for $45, and second seat tickets for $55. The concert made $955,000. How many first seat tickets and second se

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Question 550931: A concert sells out a 20,000 seat arena. They sell first seat tickets for $45, and second seat tickets for $55. The concert made $955,000. How many first seat tickets and second seat tickets were sold?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
first seat x numbers
second seat y numbers

1 x + 1 y = 20000 .............1
45 x + 55 y = 955000 .............2
Eliminate y
multiply (1)by -55
Multiply (2) by 1
-55 x -55 y = -1100000
45 x 55 y = 955000
Add the two equations
-10 x = -145000
/ -10
x = 14500
plug value of x in (1)
1 x + 1 y = 20000
14500 + 1 y = 20000
1 y = 20000 -14500
1 y = 5500
y = 5500
first seat 14500 numbers
second seat 5500 numbers
m.ananth@hotmail.ca