Wow, I can't believe people haven't heard of Rutgers University. I guess being from New Jersey I can't help but know Rutgers. (I'm just assuming this, since a lot of people said they had only heard of John Hopkins).
Anyways, if you got the scholarship from Brandeis, go there ... You're not too far out of Boston which I hear is a really nice 'college town' .. Hopkins is a good school, has a good reputation but I dont know ... I dont like Baltimore all that much!
You really need to go visit both schools and get a feel for which school you'd prefer to live at. Thats what it came down to for me. I liked my school's campus/atmosphere the best. In my opinion, it doesnt matter so much what school you goto, as what you make of it while you're there. And while having a big name Ivy League type school on your resume is impressive, and will usually help you get your foot in the door... good job references and good interviewing skills seem to weigh in more (at least in my experience). This is especially true after your first job when they have more to go on other than just your undergrad.
But everyone's opinion on what is important in a school is different... I think education wise, you'll get a good education at either Hopkins or Brandeis, so make the decision based on where you'd rather live.