Answer:
The price of one orchestra seat is $6.
Explanation:
Since the price of a balcony seat in a theater is $\frac{1}{3}$ of the price of a orchestra seat,
So, let the price of a seat in the orchestra = $x
The price of a balcony seat = x$\times \frac{1}{3}= \times \frac{x}{3}$
According to the question,
(600$\times$x)+ (450$\times \frac{x}{3}$) = 4500
600x + 150x = 4500
750x = 4500
x =$\frac{4500}{750}$ = 6