1. **State the problem:** We need to find out how much each person pays if the total cost to rent the lodge is 975 and 65 people share the cost equally. 2. **Identify the correct expression:** Since the total cost is divided equally among 65 people, the correct expression is division: $$\frac{975}{65}$$. So the answer to part A is option $\boxed{\text{B}}$. 3. **Calculate the amount each person pays:** $$\frac{975}{65} = 15$$ 4. **Interpretation:** Each person pays 15. 5. **Answer to part B:** The correct choice is $\boxed{\text{B}}$ which is 15. **Final answer:** Each person pays 15.