Answer: We can use the variables x and y to represent the number of adult tickets and children's tickets, respectively. The cost of adult tickets is $11 each and the cost of children's tickets is $8 each. So, we can use the following equation to represent the total cost for the movie tickets:
C = 11x + 8y
Where C is the total cost of the tickets, x is the number of adult tickets and y is the number of children's tickets
One combination of tickets that would total $57 is:
C = 11x + 8y = $57
x + y = 7 (number of tickets)
One way to satisfy this equation is to have 5 adult tickets and 2 children's tickets
x = 5
y = 2
C = 115 + 82 = $57
So, 5 adult tickets and 2 children's tickets is one combination that would total $57.
Explanation: