Problems for Edward F. Redish |
Solution
To do this, we need to have an estimate for the number of characters in a book. Let's do this by first estimating the number of pages in a book, the number of lines on a page, and the number of characters in a line.
number of pages in a typical book ~ 250
(I have in mind a paperback mystery
novel -- one of my typical reads.)
number of lines per page ~ 25
(I looked at the lines in the problem and
estimated how many blocks of those lines would it take to fill a page 8 inches
long)
number of characters per line ~ 80
(I counted the characters -- including
spaces and carriage returns -- in the text above to about 5 inches, a typical
paperback's width.)
This says the number of characters in a book is about
Dividing this into the total number of bytes available gives the number of books:
[7 x 10^{8} bytes/CD] / [5 x 10^{5} bytes/book] = 7/5 x 10^{3} books/CD ~ 1400 books/CD.
[GRADING PATTERN: Getting the number of pages within a factor of two was worth 3 pts. Getting the number of characters per page (again within a factor of two) was worth 5. Explanations about where you got the information from was worth 2 more. Note that if you chose a different size book, it was OK if you explained what kind of book you were talking about. The calculation was worth 5 points. If your answer was to three of more significant figures, you were docked 2 points.]
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Last revision 19. October, 2005.