Answer:
20 adult tickets and 40 children tickets are sold
Explanation:
Let there are x adult tickets and y children tickets are sold. The theater sells a total of 60 tickets.
ATQ,
x+y = 60 ....(1)
A ticket for an adult costs $11 and a ticket for a child costs $6. The theater sells a total of 60 tickets and collects $460.
ATQ,
11x+6y=460 ...(2)
Multiply equation (1) by 6.
6x+6y=360 ...(3)
Subtract equation (2) and (3)
11x+6y-(6x+6y) = 460-360
11x+6y-6x-6y = 100
5x = 100
x = 20
Put x in equation (1)
20+y=60
y = 60-20
y = 40
Hence, there are 20 adult tickets and 40 children tickets are sold.