Final answer:
To determine how many of the 98 animals can be dogs given a 5:2 dog-to-cat ratio, we calculate the number of animals per ratio unit (14) and multiply by the number of dog ratio units (5) to get 70 dogs.
Step-by-step explanation:
The question involves solving a ratio problem to find how many of the 98 animals can be dogs, given the dog-to-cat ratio is 5:2. The total ratio units are 5 (for dogs) + 2 (for cats) = 7 ratio units. Since the hotel has room for 98 animals, each ratio unit corresponds to 98 total animals ÷ 7 ratio units = 14 animals per unit.
Therefore, the number of dogs is the number of dog ratio units (5) multiplied by the animals per unit (14), which equals 70 dogs.