250 balcony tickets and 350 orchestra were sold
- Let the number of tickets for the balcony bee x
- Let the number of tickets for orchestra. be y
If ther are 600 tickets in total, hencee;
x + y = 600
y = 600 - x ........ 1
If the theater are $5 for the balcony and $10 for the orchestra with a total of 4750, hence;
5x + 10y = 4750
x + 2y = 950 ......... 2
Substitute 1 into 2
x + 2(600-x) = 950
x + 1200 - 2x = 950
-2x + 1200 = 950
-x = 950 - 1200
x = 250
Since y = 600 - x
y = 600 - 250
y = 350
Hence 250 balcony tickets and 350 orchestra were sold
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