SOLUTION: Please help I cant figure out how to set this up: Tickets to a theater cost $35 each for orchestra seats and $17.50 each for balcony seats. At a Saturday performance, three more t

Question 628537: Please help I cant figure out how to set this up:
Tickets to a theater cost $35 each for orchestra seats and $17.50 each for balcony seats. At a Saturday performance, three more than twice as many orchestra tickets as balcony tickets were sold, bringing in a total of $9817.50. How many of each kind of ticket were sold?
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

 

Hi

Tickets to a theater cost $35 each for orchestra seats and $17.50 each for balcony seats. 

At a Saturday performance, three more than twice as many orchestra tickets as the balcony tickets were sold

Question states*** total of $9817.50 collected

 35.00(2x+3) + 17.50x = 9817.50   |solve for x, listing x and the (2x+3) for the orchestra tickets 

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