Final answer:
There are 25 dogs in the animal shelter when applying the dog to cat ratio of 5/11 to a total of 80 dogs and cats.
Step-by-step explanation:
The student asked how many dogs are in an animal shelter if there are a total of 80 dogs and cats with a ratio of dogs to cats being 5/11. To find the answer, we first add the parts of the ratio to determine how many parts represent the total. There are 5 parts for dogs and 11 parts for cats, making a total of 16 parts. Since there are 80 animals, each part is equal to 80 ÷ 16, which equals 5. This means each 'part' in our ratio represents 5 animals. Since there are 5 parts that represent dogs, we multiply 5 (the number of animals per part) by 5 (the number of parts for dogs) to get the total number of dogs, which is 25 dogs in the shelter.