SOLUTION: A veterinarian examined 4 times as many dogs as cats today. In all, he examined 15 dogs and cats. How many dogs and cats did he examine?

Question 859393: A veterinarian examined 4 times as many dogs as cats today. In all, he examined 15 dogs and cats.
How many dogs and cats did he examine?
Answer by Awesom3guy(31) (Show Source): You can put this solution on YOUR website!
He examined 4 times as many dogs as cats.
So the number of dogs is 4 times the number of cats.

And, dogs and cats TOGETHER added up to 15.
So:

But we know that dogs outnumber cats by 4 times, so:

Now we can easilly figure out the number of cats.
Add the c variables:

He examined 3 cats.

Since he examined 4 times more dogs than cats, we know right away that he examined 3*4 = 12 dogs.
Check in your head: the number of dogs and cats should be 15 together.
12 + 3 = 15.
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