Are you seriously suggesting that 50% the most talented students in the country have $313,000 for tuition?
If financial aid and scholarships worked as advertised, Ivy League schools would be filled to the brim with talented people. There would be no space left for stupid kids with rich parents. Yet those kids get in, reliably. There were many scandals related to that recently. Heck, just look at the children of major US politician and media elites.