Getting Into College

I'm watching many of my daughter's senior friends getting their acceptances (or not) to the universities of their choice.  Thinking about the pressure, and the anxiety it causes young people (especially in the Nation's Capital), and the assumptions kids make about who "gets in" and who "doesn't" is painful.  These kids have been friends for many years, and now it comes down to what seems like a fairly arbitrary system, skewed by preferences and quotas.  Thus, I have an alternative suggestion:

Schools should have five hoppers.
The first is the hopper for top 10% GPA/top 10%SAT
Second hopper - next 10% of each
and so on until the fifth hopper which will be the remaining GPA/SAT

Hoppers will all close on the same date NATIONWIDE

The schools will have X number of slots they designate for each group the hoppers represent. They can decide how many in each category they want.  If they want 100% of their slots to go to the top 10%, that's their choice.

BUT, once the hoppers close, and the lottery for those slots start, there is no turning back.

The X number of slots will be what the lottery fills.  A completely random lottery, without names, ethnic origins, religion, etc.

So, for example, XYZ University has 3000 slots for admission.  They decide to have 1500 slots from the first hopper, 1000 from the second hopper, 250 from the third, 200 from the fourth, and 50 from the last hopper.

Thoughts? Problems I'm not seeing?