I'm considering applying to a couple of schools ranked significantly lower than others I will likely be accepted to. The only reason I'm considering it is that I thought that I might be able to leverage a large financial aid package from the lower-ranked schools to get more aid from the higher-ranked ones. Is that realistic? Can you only leverage aid from say, a school in the low 20's or mid 30's with an offer of admission or aid from a higher-ranked school? If a school in the 50's gave me a full ride, would the higher-ranked schools feel any need to compete with that? If not, I'd rather just save myself $100 or so on the applications since I'm not going to attend them.