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Alrighty, your question is if the ratio of cats to dogs is 4 to 3, and there are 33 dogs, cats would equal 'x".

Let's take a look at the information we have, and write it down:
Dogs ratio = 3 number = 33
Cats ratio = 4 number = x (this is our unknown)

The way I would answer this question is that with Dogs, 3 multiplied by a number equals 33 (this information is given). So then since you have a ratio, to figure out how many cats, you take the answer from part one (about the dogs) and multiply it against 4 and viola! you would have the correct number of cats.

(n is the magic multiplier number)
(x is the solution to our original problem)

Therefore: 3n = 33
oh, an equation--let's keep the equation equal. therefore, you would divide out the 3 on both sides...3n/3 = 33/3
The 3's on the left side, cancel out, and then you have 33/3 which is equal to 11.
Or n = 11

Super duper! we now have that magic number we were looking for to make the ratio!

Doing the second part of the problem.
Writing out our information we have: 4(n) = x
Lookie! Lookie! we have already figured and solved for n! that value is 11!
Okaaay, let's substitute 11 for n
now our equation reads:
4(11) = x
so,
44 = x

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