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A hall can accommodate 600 chairs arranged in rows. Each row has the same number of chairs. The chairs are rearranged such that the number of rows are increased by 5 but the number of chairs per row is decreased by 6.
(a) Find the original number of rows of chairs in the hall.
(b) After the rearrangements 450 people were seated in the hall leaving the same
number of empty chairs in each row. Calculate the number of empty chairs per row.