SOLUTION: A high school gymnasium has a seating capacity of 227 people. If the cost of decorations and refreshments is $429, how many student tickets at $1.75 and non-student tickets at $2.0

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Question 903550: A high school gymnasium has a seating capacity of 227 people. If the cost of decorations and refreshments is $429, how many student tickets at $1.75 and non-student tickets at $2.00 must be sold to break even.
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
s+n=227,
1.75*s+2*n=429
s=227-n
1.75*(227-n)+2*n=429
397.25-1.75n+2*n=429
0.25*n=31.75
n=127.0
s=227-n
s=100 s at $1.75 and n=127 at $2
check
100+127=227
1.75*s+2*n=429
1.75*100+2*127=429
175.0+254=429
429.0=429
ok