Answer:
number of general admission tickets sold = 32
Number of VIP tickets sold = 8
Step-by-step explanation:
Total Number of tickets = 40
Cost of general admission tickets = $20
Cost of VIP tickets = $30
Total revenue = $880
Let
x = number of general admission tickets sold
y = number of VIP tickets sold
The equations are:
x + y = 40 (1)
20x + 30y = 880 (2)
From (1)
x = 40 - y
Substitute x = 40 - y into (2)
20x + 30y = 880
20(40 - y) + 30y = 880
800 - 20y + 30y = 880
10y = 880 - 800
10y = 80
y = 80 / 10
= 8
y = 8
Substitute y = 8 into (1)
x + y = 40
x + 8 = 40
x = 40 - 8
= 32
x = 32
number of general admission tickets sold = 32
Number of VIP tickets sold = 8
