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Thanks to everyone that replied! So I should clarify, I somehow got an offer for both EME and applied mathematics at LSE. My thought process was to do them both that way I could get to know the professors better. I'm not sure if I would be able to RA during my time there during the year or summers.

Hi everyone. I'l try to keep things as short as possisble. Undergrad: Top 50 USNEWS with a 3.7 in economics. The problem is my transcript looks terrible (semesters with low courseload, only math taken was calculus 2, B in intermediate micro). I was dealing with medical problems throughout undergrad so I didn't really focus on my courses too much. But I aniticpate completing 2 masters programs at LSE. One in applied mathematics which would cover graduate level math courses and the EME. Assuming I were to get top marks and rank highly in both of them, would that be enough (along with RA experience, good recomendations etc) to get into the top 5 or at least make my poor undergrad performance not such a big deal? Thanks in advance!