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

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