Question

A Six 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?

Answer 1

Answer: 750

Explanation:

Answer 2

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

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
`x.`

And the number of adult tickets be
`y.`

So, the total number of tickets:

`x+y=1644.`.....(1)

Solving the equation we get the value of
`x`:

`x=1644-y.`

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

`15x+30y=11250.`

So, by putting the value of
`x` we get:

`15(1644-y)+30y=11250`

`24660-15y+30y=11250`

`24660+15y=11250`

Subtracting both sides by 24660 we get:

`15y=-13410`

Dividing both sides by -15 we get:

`y=894`

Thus number of adult tickets = 894.

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

`x+894=1644`

On solving we get:

`x=1644-894`

`x=750.`

So. the number of kid tickets = 750.

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