Respuesta :

calculista

Let

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

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

we know that

[tex]\frac{x}{y}= \frac{3}{2}[/tex]

[tex]x= \frac{3}{2}y[/tex] -------> equation A

[tex]x+y=30[/tex] -------> equation B

substitute equation A in equation B

[tex]\frac{3}{2}y+y=30[/tex]

[tex]\frac{5}{2}y=30[/tex]

[tex]y=30*2/5=12\ cats[/tex]

Find the value of x

[tex]x= \frac{3}{2}*12=18\ dogs[/tex]

therefore

the answer is

[tex]18\ dogs[/tex]

JeanaShupp

Answer: 18

Step-by-step explanation:

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

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

[tex]3x+2x=30\\\\\Rightarrow\ 5x=30\\\\\Rightarrow\ x=6[/tex]

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

[tex]3(6)=18[/tex]

Hence, the number of dogs at the shelter = 18

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