Installed and tested the Google Web Accel at both work and at home. I work at telecom and the connection real high-speed, so I did not get any meaningful improvement with google. At home I use cable/broadband, on which the web accel is doing a good job. conclusion: Google Web Accel yields meaning results on Cable/DSL and may be Dial-up.

MIT Opencourseware, would be a great resource (not exactly for warming up though) http://ocw.mit.edu/OcwWeb/Mathematics/index.htm

The solution is quite elegant. seems to me that I should go back and refine my discrete mathematics and modern algebra. Blood, Sweat and Code

a for apple, o for orange 29a + 39o = 1999 29(a + o) + 10o = 1999 lets call a + o = t (total) 29t + 10o = 1999 we know o is a whole number, o = (1999 - 29t)/10, for this to be a whole number 29t would be ***9 (has 9 in units place) so t would be *1 (has 1 in units place) so our probable answer set (for total fruits) are 1, 11, 21, 31, 41, 51, 61, 71 ... for lower limit a=0, so t = o (all fruits are oranges, since oranges are costlier) 39t = 1999, t = 1999/39 = 51.256 (just more than 51) for upper limit o = 0, so t =a (all fruits are apples, since apples are cheaper) 29t = 1999, t = 1999/29 = 68.931 (just less than 70). the only number that ends with *1 in this range is 61, so t = 61. so, 29*61 + 10o = 1999, 10o = 1999 - 1769, o = 230/10 = 23. a = 61- 23 = 38.