An animal shelter houses dogs, cats, and rabbits. There are 126 animals at the shelter. Of the animals, 13 are cats. Three fourths of the remaining animals are dogs. How many of the animals are rabbits? Show your work.

28 rabbits

Step-by-step explanation:

From the statement, you can write the following:

d+c+r = 126

d=dogs

c = cats

r = rabits

Then, you have that there are 13 cats and that three fourths of the remaining animals are dogs:

c=13

d = (126-13) * (3/4) = 113 * (3/4) = 85

Now, you can isolate r, to find the number of rabbits:

r=126-d-c

r = 126-85-13

r = 28

According to this, the are 28 rabbits.