Question

An animal shelter has 49 dogs and 28 cats . Last week There are 20 cats in the shelter, how many dogs are there ?

Answer 1

According to the ratio of dogs to cats, if there are 20 cats, there will be 35 dogs.

Explanation:

Let the number of dogs be d and the number of cats be c

If the ratio of dogs to cats is 49:28, then the ratio of d : c would be

$\frac{d}{c} = \frac{49}{28}$

On reducing the fraction, we get

$\frac{d}{c} = \frac{7}{4}$

It is shown that the number of cats is reduced to 20.

So, let the number of dogs after sometime be x

Thus,

$\frac{d}{c} = \frac{7}{4} = \frac{x}{20}$

After cross multiplying we get:

140 = 4x

x = 35

According to the ratio of dogs to cats, if there are 20 cats, there will be 35 dogs.