5. (8 points) Xiao Bing participated in a strange math exam. There were a total of 100 questions, with 1 point for each correct answer, -3 points for each wrong answer, and -2 points for each unanswered question. $\square$ It is known that Xiao Bing scored a total of 50 points. Then, the maximum number of questions Xiao Bing could have answered correctly is $\qquad$.
【Answer】Solution: Enumeration Method
When Xiaorong answers 100 questions correctly, the full score is 100 points.
When Xiaozhen answers 95 questions correctly, the other 5 questions may not be answered or may be wrong, reducing the score by 10-15 points. Xiaozhen's score is between $80-85$ points. To get as many questions right as possible, the total deduction should be minimized, which means we need to consider the scenario with the most wrong answers using the enumeration method.

When Xiaozhen answers 86 questions correctly, the remaining 14 questions can deduct 36 points.
When Xiaozhen answers 87 questions correctly, 13 questions need to deduct 37 points, $11 \times 3 + 2 \times 2 = 37$.
When Xiaozhen answers 88 questions correctly, 12 questions need to deduct 38 points, which cannot be achieved.
Therefore, the answer is: 87