the children in a school were asked how many cats and dogs they have. the ratio of cats to dogs is 3 to 2. the children have 150 cats altogether. how many dogs do they have

Let's assume there are 3x cats and 2x dogs, where x is a common factor.

Given that there are 150 cats altogether, we can write the equation 3x = 150.
Dividing both sides of the equation by 3, we get x = 50.
Therefore, there are 2 * x = 2 * 50 = 100 dogs.