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Answer:

There are 45 dogs, 27 cats

Step-by-step explanation:

Write and solve an equation of ratios.  The "cat ratio" is 3/27 and the "dog ratio" is 5/d:

Then

 3         5

------ = -----

 27       d

Through cross-multiplication, we get 3d = 135, or d = 45

There are 45 dogs, 27 cats.  Notice that 27/45 = 3/5, as expected.

There are 45 dogs and 27 cats.  

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given information;The ratio of cats to dogs at the animal shelter is 3 to 5.

There are 27 cats.

We need to Write and solve an equation of ratios.  

The "cat ratio" is 3/27 and the "dog ratio" is 5/d:

Then 3/ 27 =   5 / d

Through cross-multiplication, we get

d = 5 x 27 / 3d = 45So,

Notice that 27/45 = 3/5, as expected.

There are 45 dogs and 27 cats.  

Learn more about the unitary method;

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