Let me start out by saying that while I read a lot about astrophysics on Wikipedia and in the news and find it very interesting, I never really got into the calculations because I never took a course in it or read a textbook. I have a PhD in math, so if there is any mathematics that can enhance an answer to this question please don't hesitate to include it.
Something that has always bothered me was dark matter. It seems like a "cheap fix" to try make observations coincide with known theories of gravity, and it seems to be widely accepted that this is a better idea than revising the theories of gravity to match observations. Let's accept that for now.
It is assumed that if dark matter exists, it is exotic and literally does not interact with electromagnetic radiation at all, or at least very minimally. Why does this have to be the case, when instead the "dark matter" could just be ordinary matter that's floating around in the universe, but is not a star and is not near a star or any source of light, so no electromagnetic radiation is emanating from it, and hence we can't see it with telescopes? That's my first question.
The second question is...what about black holes? Could they account for the matter that is missing?