Final answer:
To find the number of adult and child tickets sold, we can set up a system of equations using the given information. By solving this system, we can determine that 65 adult tickets and 60 child tickets were sold.
Step-by-step explanation:
To solve this problem, we need to set up a system of equations using the given information. Let's assume that x represents the number of adult tickets and y represents the number of child tickets.
The total number of tickets sold is 125, so we have the equation x + y = 125.
The total revenue from ticket sales is $1140, so we have the equation 12x + 6y = 1140.
To solve this system, we can use a method like substitution or elimination. Let's use the substitution method:
From the first equation, we can express x in terms of y: x = 125 - y.
Substituting this value of x into the second equation, we get 12(125 - y) + 6y = 1140.
Simplifying this equation, we have 1500 - 12y + 6y = 1140.
Combining like terms, we get -6y = -360.
Dividing both sides by -6, we find that y = 60.
Substituting this value of y back into the first equation, we find that x = 125 - 60 = 65.
Therefore, 65 adult tickets and 60 child tickets were sold, which corresponds to option A.