SOLUTION: The manager of a theater knows that 900 tickets were sold for a certain performance. If orchestra tickets were sold for $3 each and balcony tickets for $2 each, and if the total re

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Question 859168: The manager of a theater knows that 900 tickets were sold for a certain performance. If orchestra tickets were sold for $3 each and balcony tickets for $2 each, and if the total receipts were $2300, how many of kind of tickets were sold?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Let x represent the number of orchestra tickets ⇒ (900-x) are balcony tickets

 3x + 2(900-x) = $2300

       x = 500 orchestra tickets.  There were 400 Balcony tickets    

CHECKING our answer***

  $1500 + $800 = $2300

Wish You the Best in your Studies.