Question

The ratio of dogs to cats at an animal shelter is 3 to 2. How many dogs are at the shelter if there is a total of 30 animals?

Answer 1

Let

x-------> the number of dogs

y------> the number of cats

we know that

`(x)/(y)= (3)/(2)`

`x= (3)/(2)y` -------> equation A

`x+y=30` -------> equation B

substitute equation A in equation B

`(3)/(2)y+y=30`

`(5)/(2)y=30`

`y=30*2/5=12\ cats`

Find the value of x

`x= (3)/(2)*12=18\ dogs`

therefore

the answer is

`18\ dogs`

Answer 2

Answer: 18

Explanation:

Given: The ratio of dogs to cats at an animal shelter is 3 to 2 or
`(3)/(2)`

The total number of animals in the shelter = 30

Let the number of dogs at shelter be 3x and the number of cats be 2x.

Then according to the question, we have

`3x+2x=30\\\\\Rightarrow\ 5x=30\\\\\Rightarrow\ x=6`

Now, the number dogs at the shelter is given by :-

`3(6)=18`

Hence, the number of dogs at the shelter = 18