Final answer:
Approximately 543 children's tickets and 1056 adult tickets were sold.
Step-by-step explanation:
Let's solve this problem step by step.
Let the number of children's tickets be x.
The number of adult tickets is 30 less than twice the number of children's tickets, so it can be represented as 2x - 30.
Total number of tickets sold = number of children's tickets + number of adult tickets
1600 = x + (2x - 30)
1600 = 3x - 30
3x = 1630
x = 1630/3
x ≈ 543.33
Since the number of children's tickets must be a whole number, we can round down to 543.
Now, we can find the number of adult tickets: 2x - 30 = (2 * 543) - 30 = 1056.
So, approximately 543 children's tickets and 1056 adult tickets were sold.