The freshman spirit club took a trip to the state fair. there were 59 students and 6 chaperones, and the total admission cost for the groups was $508. student tickets cost $2 more than chaperone tickets. write and solve an equation to find the cost of a student ticket.

For this problem, let's assign variables for the unknown parameters. Let x be the value for student tickets, while y be the value for chaperone tickets. The two equations formulated would be:

59x + 6y = 508 --> eqn 1
x = 2+y --> eqn 2

Rearranging eqn 2,
y = x - 2
Substituting this to eqn 1 and solving for x,
59x + 6(x - 2) = 508
59x + 6x - 12 = 508
x = 8

Thus, each student ticket costs $8.