An animal shelter houses ferrets, cats, and dogs. There are 108 animals at the shelter. Of the
animals, 1/3 are ferrets. 5/6 of the remaining animals are cats. How many of the animals are dogs?
Show your work.
There are ferrets and cats at the shelter. How many of the animals are dogs?

Number of dogs in the shelter are 12

Step-by-step explanation:

Step 1:

Given that total animals = 108 and number of ferrets = 1/3 of 108. Find number of ferrets in the shelter.

Number of ferrets = 1/3 of 108 = 1/3 × 108 = 36

Step 2:

Given that of the remaining animals, number of cats = 5/6. Find the remaining animals and the number of cats.

Remaining number of animals = 108 - 36 = 72

Number of cats = 5/6 of 72 = 5/6 × 72 = 60

Step 3:

Find number of dogs in the shelter.

Number of dogs = 108 - (36 + 60) = 108 - 96 = 12