Question

A theater sold 980 tickets for a ballet. The orchestra seats cost $50 each and the balcony seats cost $35 each. The theater collected $44,350 in ticket sales for the performance. How many balcony tickets were sold?

Answer 1

Balcony tickets = 310

Explanation:

Let x be orchestra seat

and y be balcony seat

x + y = 980

x = 980 - y................ (1)

50x + 35y = 44350

Substituting in equation 2,

50 (980 - y) + 35y = 44350

y = 310

Answer 2

Answer:310

Explanation: