+ cx + d = 0 such that c and d are real numbers, and the three roots of
the polynomial are distinct positive integers?
Logic: 25% of blue furbils are conical, and half of all conical furbils
are blue. One quarter of all furbils are neither blue nor conical. What
percentage are BOTH blue and conical?
From NCTM
Solution: the non-conical blue furbils outnumber conical ones 3 to 1,
but the non-blue conical furbils are as common as the blue ones. For
example, if there are 3 blue conical furbils, there must be 9
non-conical blue ones, and 3 non-blue conical ones. Since 3/4 of all
furbils are either blue or conical, there must be 5, in this example,
which are neither. Of the 20 altogether, 3 are both, which gives 15%
For
more math puzzles, check out
http://www.mathpuzzle.com/,
http://mathschallenge.net/,
http://www.princeton.edu/~mathclub/puzzles4.html
and
http://mathforum.org/k12/k12puzzles/