Trevor has recently purchased a classical music compendium, a science book and a fiction novel from his neighborhood bookstore for a total of $100. It is known that:

(I) The music compendium costs more than twice the science book.

(II) Three copies of the science book cost more than four copies of the fiction novel.

(III) Three copies of the fiction novel cost more than the music compendium.

Given that all prices are whole numbers of dollars, how much does each item cost?

The music compendium costs $ 55.
The science book costs          $ 26.
The fiction novel costs           $ 19.
                         ----------------------
                                           $100
2 * 26 < 55  (54)
3 * 26 > 4 * 19    (78, 76)
3 * 19 > 55  (57)

By the time I finished, there was already an answer, but oh well.

Posted by Jason on 2007-08-12 01:48:27