Question

There are 15 cats at a pet shelter. The ratio of cats to dogs is 3:5. How many dogs are at the shelter?

Answer 1

25

Explanation:

We can take our ratio of 3:5 and multiply it by 5 to give us the number of cats we have. We get 15:25. Meaning we have 25 dogs.

Answer 2

`\begin{gathered} \text{There are 15 cats.} \\ \text{The ratio of cats to dogs is 3 : 5} \\ \text{If there are d number of dogs, then you have } \\ 15\colon d \\ \text{Therefore,} \\ 3\colon5=15\colon d \\ (3)/(5)=(15)/(d) \\ \text{Cross multiply and you have;} \\ 3d=5*15 \\ 3d=75 \\ \text{Divide by 3} \\ (3d)/(3)=(75)/(3) \\ d=25 \end{gathered}`

Therefore, you have 25 dogs at the shelter.