Question

An animal shelter has 12 cats and 9 dogs. If 1 cat and 1 dog adopted, would the ratio of cats to dog remain the same? Explain.

Answer 1

Ratios

At the beggining the ratio of cats to dogs is

$\frac{12}{9}=\frac{4}{3}$

because ratio indicates a fraction (12 cats divided by 9 dogs)

After the adoption there were 11 cats and 8 dogs, then the ratio is

$\frac{11}{8}$

Since

$\frac{4}{3}\ne\frac{11}{8}$

Answer: the ratio of cats to dog does not remain the same