Let the cost of each baseball be 'x' and the cost of each baseball bat be 'y'.
Given that 3 balls and 2 bats cost $90,

Also given that 5 balls and 2 bats cost $116,

Solve the equations using Elimination Method.
Subtract the first equation from second,

Substitute this value in first equation,

Thus, the cost of a baseball is $13 while the cost of a baseball bat is $25.5