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

$\frac{x}{y}= \frac{3}{2}$

$x= \frac{3}{2}y$ -------> equation A

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

substitute equation A in equation B

$\frac{3}{2}y+y=30$

$\frac{5}{2}y=30$

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

Find the value of x

$x= \frac{3}{2}*12=18\ dogs$

therefore

the answer is

$18\ dogs$

Answer 2

Answer: 18

Step-by-step explanation:

Given: The ratio of dogs to cats at an animal shelter is 3 to 2 or $\frac{3}{2}$

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