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

310 balcony tickets were sold

Explanation:

Part 1:

X=the number of orchestra seats sold

Y=the number of balcony seats sold

980=the total of tickets sold

X+Y=980

Part 2:

Orchestra seats cost $50

Balcony Seats cost $35

Total money collected $44,350

50X+35Y=44,350

X+Y=980

Y=980-X (substitute y in your second equation)

50X+35(980-X)=44,350

50X+34,300-35X=44,350

50X-35X=44,350-34,300

15X=10,050

X=670

Y=980-X

Y=980-670

Y=310

Check

50X+35Y=44,350

50(670)+35(310)=44,350