The sum of 1/2, 1/3, and 1/4 of the enrollment of the business school is exactly the enrollment of the language school. The sum of 1/5, 1/6, 1/7, and 1/8 of the enrollment of the business school is exactly that of the design school.

What are the enrollments of these three schools, given that no school has more than 1,000 pupils?

Solution