Verified Answer :

calculista

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

\(18\ dogs\)

JeanaShupp

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