SOLUTION: 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

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
.
b + o = 195 :: given
or,
b = 195 - o and o = 195-b
.
125o = value of the orchestra tickets sold
70b = value of the balcony tickets sold
.
125o + 70b = 26650 :: given
.
substitute b = 195 - o:
.
125o + 70(195 - o) = 26650
125o + 13650 - 70o = 26650
,
collect and simplify
.
125o - 70o = 26650 - 13650
55o = 13000
o = 236.36
.
That is an odd result because it calls for selling a fraction of a ticket, and it calls for selling more than 195 tickets.
.
If ONLY orchestra tickets were sold @ $125 each, then that would be 213.2 tickets, which is more than 195.
.
So there appears to be something wrong with your problem statement.
.
Done
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