There's 6 times as many dogs as cats. If the total number of dogs and cats is 35, how many dogs are there?

Let cats = X

Then doges = 6x (6 times as many cats, so multiply 6 by number of cats)

Now you have X + 6X = 35 (number of cats plus number of doags equal 35)

X + 6x = 35

Simplify:

7X = 35

Divide both sides by 7 to solve for x:

X = 35 / 7

X = 5

Cats = X, so there are 5 cats.

Dogs = 6X = 6 (5) = 30 total dogs.