If there are 20 dogs and 60 cats at a pet daycare, fill out all of the possible ratios of dogs to cats that could be made

1 answer

The ratio is a comparison of two quantities. To find all possible ratios of dogs to cats, we need to consider every combination of the number of dogs and cats.

1. Dogs: 20, Cats: 60 -> Ratio: 20:60 (or simplified, 1:3, because we can divide both sides by 20)
2. Dogs: 40, Cats: 60 -> Ratio: 40:60 (or simplified, 2:3)
3. Dogs: 60, Cats: 60 -> Ratio: 60:60 (or simplified, 1:1)
4. Dogs: 20, Cats: 120 -> Ratio: 20:120 (or simplified, 1:6)
5. Dogs: 40, Cats: 120 -> Ratio: 40:120 (or simplified, 1:3)
6. Dogs: 60, Cats: 120 -> Ratio: 60:120 (or simplified, 1:2)

So, all the possible ratios of dogs to cats are: 1:3, 2:3, 1:1, 1:6, 1:3, 1:2.