The real-world problem that could be solved with the sum \( 102.50 + (-39.95) \) is:
Neveah earned $102.50 last weekend. She then spent $39.95 on a new game. How much money from her weekend earnings does she have left?
This situation involves subtracting the amount spent from the total earnings, which can be expressed mathematically as \( 102.50 + (-39.95) \).