I should add to my comment above that the school my girls attended is technically a public school, but it’s all dati – girls, teachers, administrators, principals. The reason the school charges the $1,000 tuition is because there is a wide variety of majors offered, some of which are not offered in most other schools.
(Israeli high school students in 10th grade pick a major; the major dictates which classes they will take for the remainder of high school.)
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