Answer:
650 tickets for the main floor and 475 tickets for the balcony were sold.
Step-by-step explanation:
From the information given, you can write the following equations:
x+y=1125 (1)
8x+6y=8050 (2), where:
x is the number of tickets for the main floor
y is the number of tickets for the balcony
First, you can solve for x in (1):
x=1125-y (3)
Second, you can replace (3) in (2):
8(1125-y)+6y=8050
9000-8y+6y=8050
9000-2y=8050
9000-8050=2y
950=2y
y=950/2
y=475
Third, you can replace the value of y in (3) to find x:
x=1125-y
x=1125-475
x=650
According to this, the answer is that 650 tickets for the main floor and 475 tickets for the balcony were sold.
