SOLUTION: One needs 4221 digits to number the pages of a book. How many pages does this book contain? A 1108 B 1246 C 1332 D 1533 E none of the above

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Question 277470: One needs 4221 digits to number the pages of a book. How many pages does this book contain?
A 1108 B 1246 C 1332 D 1533 E none of the above
Answer by CharlesG2(834) About Me  (Show Source):
You can put this solution on YOUR website!
One needs 4221 digits to number the pages of a book. How many pages does this book contain?
A 1108 B 1246 C 1332 D 1533 E none of the above
1-9 --> 1 digit per page--> 9 pages --> 9 digits --> 4221 - 9 = 4212 digits left
10-99 --> 2 digit per page --> 90 pages --> 180 digits --> 4212 - 180 = 4032 digits left
100-999 --> 3 digits per page --> 900 pages --> 2700 digits --> 4032 - 2700 = 1332 digits left
1000-9999 --> 4 digits per page --> 9000 pages --> 36000 digits
1332/4 = 333 pages
999 + 333 = 1332 pages total
answer is C