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The ratio of cats to dogs is 4:5.If there are 20 dogs, how many cats are there?

Jan 29, 2020

Since the common ratio between cats and dogs is 4:5. We want to know cat and dogs in the ratio x:20. Thus, we can set up the equation as $$\frac{4}{5}=\frac{x}{20}$$. Cross multiplication gets us $$80=5x.$$ Solving for $$x$$ we get that $$\frac{80}{5}=x \to 16=x.$$ Now, we know that the number of cats there are is $$\boxed{16}.$$