It's a laudable goal, but giving a bunch of (mostly) naive, uneducated kids a lump sum of cash is a recipe for disaster. There would instantly be an industry focused on parting them from that money, one that would be extremely profitable and mostly not related to education.
You weren't given cash, but today kids are given an essentially unlimited amount of government backed loans to pay for school - the availability of which has caused education costs to skyrocket.