Norma has recently purchased a science book, a history book and an atlas from her neighborhood bookstore for a total of $100. It is known that:
(I) The science book costs more than twice the history book.
(II) Three copies of the history book cost more than four copies of the atlas.
(III) Three copies of the atlas cost more than the science book.
All prices are a whole numbers of dollars. How much does each item cost?