Final answer:
To have the same number of hot dogs as hot dog buns, Tanya's team needs to find the least common multiple (LCM) of the number of hot dogs and buns in each package. The least common multiple is 2, so the correct answer is option A) 4 packages of each.
Step-by-step explanation:
To have the same number of hot dogs as hot dog buns, Tanya's team needs to find the least common multiple (LCM) of the number of hot dogs and buns in each package. Since there are 2 hot dogs in each package and 2 hot dog buns in each package, the LCM is 2.
In option A, there are 4 packages of each, so there would be a total of 8 hot dogs and 8 hot dog buns. In option B, there are 6 packages of each, so there would be a total of 12 hot dogs and 12 hot dog buns.
In option C, there are 8 packages of each, so there would be a total of 16 hot dogs and 16 hot dog buns. In option D, there are 12 packages of each, so there would be a total of 24 hot dogs and 24 hot dog buns.
Therefore, the correct answer is option A) 4 packages of each.