Won't work. Schools get money based on number of students attending their school. Fewer students = less money in total. Which equals less money per student.
SCHOOL SYSTEM A HAS 10 STUDENTS AND SPENDS 100K OR 10K PER STUDENT. IF THEY GIVE 4 STUDENTS 6K VOUCHERS AND THEIR FREEDOM, THE SYSTEM A NOW HAS 12.6K TO SPEND PER STUDENT. THAT'S A 26% INCREASE IN PER CAPITA SPENDING PER STUDENT WITH NO NEW TAXES!!
