If a bag of hot dog buns contains 8 buns and a package of hot dogs contains 10 hot dogs. How many package of each is needed so that a each of the 40 campers has hot dogs and buns with none left over?

To ensure that each of the 40 campers has a hot dog and a bun with none left over, we need to find the least common multiple of the number of buns and Hot Dogs. The least common multiple of 8 (buns) and 10 (hot dogs) is 40. This means we need 5 bags of buns (5 x 8 = 40) and 4 packages of hot dogs (4 x 10 = 40). Therefore, 5 bags of buns and 4 packages of hot dogs are required.