SOLUTION: A geometry book is comprised of two sections: planar and non-planar in the ratio 5:3. If the total number of pages in the book is 480, how many of each section will be in the book?
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Question 1023897: A geometry book is comprised of two sections: planar and non-planar in the ratio 5:3. If the total number of pages in the book is 480, how many of each section will be in the book? Answer by ikleyn(52780) (Show Source):
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A geometry book is comprised of two sections: planar and non-planar in the ratio 5:3. If the total number of pages in the book is 480, how many of each section will be in the book?
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There are 5x pages in one section and 3x pages in the other section.
(I do not assume now that x is integer).
In total, the number of pages is 5x + 3x = 8x.
An equation is 8x = 480.
Its solution x = = 60. (Happily, it is integer !).
Hence, the first section contains 60*5 = 300 pages, and the second section contains 180 pages.