There are a total of 20 dogs and cats at a kennel. if the ratio of the number of dogs to the number of cats at the kennel is 3 to 2, how many cats are at the kennel?

Respuesta :

Answer:

Number of cats in the kennel = 8

Step-by-step explanation:

Let

c denote the number of cats and

d be the number of dogs

Given that the ratio of dogs to cats is 3 to 2

So,

d:c=3:2

Sum of ratio is 5.

And the total number of cats and dogs is 20.

So in order to find the number of cats, following formula will be used:

[tex]Numbr\ of\ cats=\frac{ratio\ of\ cats}{sum\ of\ ratio}*Total\ number\ of\ animals\\ =\frac{2}{5}*20\\ =2*4\\=8[/tex]

So, there are 8 cats in the kennel ..