Word problem $8 on the main floor and 6.50 in the balcony. with 180 more manin floor tickets. how many of each were sold?.

Question

Business and Finance: Theater tickets were sold for $8 on the main-floor and $6.50 in the balcony. The total revenue was $3,760, and their were 180 more main-floor tickets sold than balcony tickets. Find the number of each type of ticket sold.

Answer 1

Carolyn,

 

Let x be the number of balcony tickets sold

 

Main floor tickets sold = x + 180

 

Total revenue = x*6.5 + (x+180)*8 = 3760

14.5 x = 3760 - 180*8

x = 160

 

Balcony tickets sold = 160

Main floor tickets sold = 160 + 180 = 340