In a group of 32 pet owners, half are women and 20 are dog owners. If 8 women are not dog owners, how many of the dog owners are men?

So there are 32 people total.

16 are women and 16 are men.

8 women do not own dogs. meaning 8 women DO own dogs.

so the rest must be owned by men.

there are are a total of 20 owners who have dogs.

so 20-8 = 12 must be owned by men.