The Commonwealth shall pay every school district having out-of-school youth or adults enrolled in a technical institute for each pupil in average daily membership one-third of the total current expenses per pupil as provided in the approved budget, or the per pupil cost for current expenses, whichever is less. The remainder of the cost of total current expenses may be borne by the district of residence or by the district of residence and the pupil, but in no event shall the pupil bear more than one-third of the total current expenses per pupil.