If the ratio of cats to dogs is 2:3, and there are 12 cats, how many dogs are there?

If the ratio of cats to dogs is 2:3, and there are 12 cats, how many dogs are there?

• A. 15
• B. 18
• C. 12
• D. 9

Answer: (B)

To determine the number of dogs based on the ratio of cats to dogs, we start by understanding the given ratio of 2:3, where for every 2 cats, there are 3 dogs. If there are 12 cats, we can set up a proportion to find the number of dogs. The ratio indicates that for every 2 cats, there are 3 dogs. We can calculate how many groups of 2 cats are in 12 cats by dividing 12 by 2, which gives us 6 groups. Since each group corresponds to 3 dogs, we multiply the number of groups (6) by the number of dogs per group (3): 6 groups × 3 dogs/group = 18 dogs. This means that when there are 12 cats, there are 18 dogs in accordance with the original ratio of 2:3.

To determine the number of dogs based on the ratio of cats to dogs, we start by understanding the given ratio of 2:3, where for every 2 cats, there are 3 dogs.

If there are 12 cats, we can set up a proportion to find the number of dogs. The ratio indicates that for every 2 cats, there are 3 dogs. We can calculate how many groups of 2 cats are in 12 cats by dividing 12 by 2, which gives us 6 groups.

Since each group corresponds to 3 dogs, we multiply the number of groups (6) by the number of dogs per group (3):

6 groups × 3 dogs/group = 18 dogs.

This means that when there are 12 cats, there are 18 dogs in accordance with the original ratio of 2:3.