Question 328117
Here we are to calculate the cost of an adult ticket.

We know:

1 adult ticket was purchased.
3 children's tickets were purchased.
The adult ticket was $2 more than the children's ticket.
 
So:

Let x = cost of children's tickets.

Let x + 2 = cost of adult ticket.

Also we know the total cost for all the tickets is $20

Based on this information let's create an equation:

3x + (x + 2) = 20

Now let's simplify.

3x + x + 2 = 20
 
4x + 2 = 20

4x = 18

x = 4.50

The cost of each of the children's tickets is $4.50, therefore the cost of the adult ticket  $6.50 (4.50 + 2).


Let's plug in x to check our solution:

3(4.50) + 4.50 + 2 = 20 Yes !!!

The cost of the adult ticket is $6.50.


Good Luck :-)