Asix flags theme park charges $30 for adults and $15 for kids. how many adult tickets and kid tickets were sold, if a total of 1,644 tickets were sold for a total of $11,250?

The number of adult tickets sold is 894 and the number of kid tickets is 750.

Step-by-step explanation:

Given:

A Six Flags theme park charges $30 for adults and $15 for kids.

Total of 1,644 tickets were sold.

Total amount of tickets $11,250.

Now, to find the number of adult tickets and kid tickets.

Let the number of kid tickets be

And the number of adult tickets be

So, the total number of tickets:

.....(1)

Solving the equation we get the value of :

Now, the total amount of tickets of adult and kids:

So, by putting the value of we get:

Subtracting both sides by 24660 we get:

Dividing both sides by -15 we get:

Thus number of adult tickets = 894.

Now, putting the value of in equation (1):

On solving we get:

So. the number of kid tickets = 750.

Therefore, the number of adult tickets sold is 894 and the number of kid tickets is 750.