Atheater sold 1,125 tickets for a musical performance. the orchestra seats cost $40 each and the balcony seats cost $25 each. the theater collected $39,000 in ticket sales for the performance. how many orchestra tickets were sold?

725 orchestra seats.

Step-by-step explanation:

Let x be the number of orchestra seats and y be the number of balcony seats.

It has been given that the theater sold 1,125 tickets for a musical performance. We can represent this information as: .  

Given: The cost of each orchestra seat is $40 and the balcony seats cost $25 each. The theater collected $39,000 in ticket sales for the performance.  

We can represent this information as: .

We will use substitution method to solve our system of equations. From equation (1) we will get,

Substituting in equation (2) we will get,

Therefore, 725 orchestra seats were sold for the musical performance.