A community group bought 30 tickets to an amusement park at a total cost of $810. They bought x student tickets for $25 each and y adult tickets for $30 each.

x+y=30

25x+30y=810

12

18 student tickets

12 adult

To determine the number of student tickets and adult tickets bought by the community group, we need to set up a system of equations based on the given information.

Let's use x to represent the number of student tickets and y to represent the number of adult tickets.

Based on the given information, we know that:
1) The group bought a total of 30 tickets, so the sum of the number of student tickets and the number of adult tickets is 30:
x + y = 30

2) The total cost of all the tickets purchased was $810. Since each student ticket costs $25 and each adult ticket costs $30, we can set up an equation for the total cost:
25x + 30y = 810

Now, we can solve this system of equations to find the values of x and y.