Final answer:
The problem can be solved by allocating the minimum number of candies to five of the bags and calculating the remaining candies for the sixth bag, which results in a maximum of 205 candies in any one bag.
Step-by-step explanation:
The question pertains to finding the maximum number of candies that any one of the six bags may contain, given that the average number of candies per bag is 35 and no bag is empty. To solve this problem, we must consider that if five bags have the minimum number of candies, which is 1 in each to ensure they are not empty, the sixth bag would have the remaining candies. We calculate this by subtracting 5 (minimum candies for five bags) from the total number of candies: (6 bags × 35 average) - 5 candies = 210 - 5 = 205 candies.