Hi, I was accepted to a t20 school but just found out I will be getting no aid at all. I was also accepted to a state school with lower ranking but given 75% tuition. Is it worth it to go to the t20 for name recognition or should I save the money and choose a school with less of a name?

Update: I did not want to give out a lot of information in case that would influence someone's response. The second school is in top 75 ranks wise. I am leaning towards the state school simply due to the amount of debt I would be freed from. I do hope to match into a competitive specialty, but as you guys have said it really is just about the work I plan to put in which has made me feel better about my decisions. Thank you!