Ari runs a training school for pet actors. Last year he trained 3 times as many dogs as cats. if the total number of dogs and cats he trained last year is 84, how many cats did he train?

c + 3c = 84

...

To figure out the number of cats Ari trained last year, we can set up an equation based on the information given.

Let's assume the number of cats Ari trained last year is 'x'.

According to the problem, Ari trained 3 times as many dogs as cats. So, the number of dogs he trained is 3x.

The total number of dogs and cats he trained last year is 84. Therefore, we can write the equation as:

x + 3x = 84

Simplifying this equation:

4x = 84

To solve for x (the number of cats), we need to divide both sides of the equation by 4:

x = 84 / 4

x = 21

So, Ari trained 21 cats last year.