Question 281350: the price of the orchestra level tickets were $125. Balcony tickets were $70. A total of 195 tickets were sold for $26650. Determine the number of orchestra level tickets and the number of balcony level tickets sold.
Answer by oberobic(2304)   (Show Source):
You can put this solution on YOUR website! b = number of balcony tickets sold
o = number of orchestra tickets sold
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b + o = 195 :: given
or,
b = 195 - o and o = 195-b
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125o = value of the orchestra tickets sold
70b = value of the balcony tickets sold
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125o + 70b = 26650 :: given
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substitute b = 195 - o:
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125o + 70(195 - o) = 26650
125o + 13650 - 70o = 26650
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collect and simplify
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125o - 70o = 26650 - 13650
55o = 13000
o = 236.36
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That is an odd result because it calls for selling a fraction of a ticket, and it calls for selling more than 195 tickets.
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If ONLY orchestra tickets were sold @ $125 each, then that would be 213.2 tickets, which is more than 195.
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So there appears to be something wrong with your problem statement.
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Done
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