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Genrish500 [490]
2 years ago
7

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

Mathematics
1 answer:
blsea [12.9K]2 years ago
4 0

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

<u>Explanation:</u>

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.

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