A paintball court charges an initial entrance fee of $7 plus a fixed price of $0.50 per paintball. If Pippa has $25, how many paintballs can she buy?

Let X be the number of paintballs.

The total cost of the paintballs will be (X * $0.50) + $7.
Since Pippa has $25, we have the equation (X * $0.50) + $7 = $25.
By subtracting $7 from both sides, we get (X * $0.50) = $18.
Thus, X = $18 / $0.50 = <<18/0.5=36>>36 paintballs can Pippa buy. Answer: \boxed{36}.