Question

Orchestra seats for a Symphony per-

formance cost $6 more than balcony
seats. If 400 orchestra seats and 250
balcony seats were sold and the total
sales were $8250, how much was
each type of seat?
​

Answer 1

The Answer is that Orchestra seats were $15 and Balcony seats were $9.

Explanation:

400(x+6) + 250x = 8250

400x + 2400 + 250x = 8250

650x + 2400 = 8250

650x = 5850

x = 9

Proof:

400(15) + 250(9) = 8250

6000 + 2250 = $8,250