If the ratio of dogs to cats at the animal shelter is 3 to 4, which of the following is the possible number of dogs and cats
at the animal shelter?
A 12 dogs, 15 cats
B 15 dogs, 25 cats
C 15 dogs, 20 cats
D 20 dogs, 15 cats
3x and 4x
so check each pair to be sure that they have a common factor x
21
What is the answer
To solve this problem, we need to determine if the given ratio of dogs to cats is satisfied by any of the given options.
The ratio of dogs to cats is 3 to 4. This means that for every 3 dogs, there are 4 cats at the animal shelter.
Let's check each option:
A) 12 dogs, 15 cats: The ratio of dogs to cats is 12/15 = 0.8, which is not equal to 3/4. So, this option does not satisfy the given ratio.
B) 15 dogs, 25 cats: The ratio of dogs to cats is 15/25 = 0.6, which is not equal to 3/4. So, this option does not satisfy the given ratio.
C) 15 dogs, 20 cats: The ratio of dogs to cats is 15/20 = 0.75, which is equal to 3/4. So, this option satisfies the given ratio.
D) 20 dogs, 15 cats: The ratio of dogs to cats is 20/15 = 1.33, which is not equal to 3/4. So, this option does not satisfy the given ratio.
From our analysis, we can conclude that the possible number of dogs and cats at the animal shelter would be 15 dogs and 20 cats, which is option C.