A child most definitely should NOT be accepted to a Yeshiva if his/her parents do not pay tuition!!
This holds true only if…
…the Yeshiva is not a community Yeshiva. Out-of-Town Yeshivos and Yeshivos or seminaries in EY have no obligation to accept students that will add an extra financial burden on the school thereby requiring the comunity to extend extra donations on behalf of that student.
…the parents do not prioritize within their financial capabilities the importance of taking responsibility (paying) for their children’s education. As someone who has served on tuition committees I can recall countless stories of parents who drove luxury cars, took 5 star vacations, excessive home renovations etc. and then had the chutzpa to file for a tuition break. NO BOOSHA. This applies to a community school as well.
Schools on the other hand aught to have the courtesy of dividing their total budget by the amount of students they have. To cover those who simply cannot pay full tuition, the gap should be fund-raised rather than included in the actual costs of fulfilling ones obligation of educating THEIR child.