Answer:
90 children's tickets and 200 adult tickets were sold.
Explanation:
Let's use the variables c and a to represent the number of children's and adult tickets sold, respectively.
From the problem, we know that:
The total number of tickets sold is 290: c + a = 290
The total revenue from ticket sales is $2250: 5c + 9a = 2250
We now have two equations with two unknowns. We can use substitution or elimination to solve for c and a. Here's one way to use elimination:
Multiply the first equation by 5 to get 5c + 5a = 1450
Subtract the above equation from the second equation to eliminate c: 5c + 9a - (5c + 5a) = 2250 - 1450
Simplify: 4a = 800
Solve for a: a = 200
Substitute a = 200 into the first equation to solve for c: c + 200 = 290
Simplify: c = 90
Therefore, 90 children's tickets and 200 adult tickets were sold.