Answer to the Problem of the Week
for the week of February 14, 2005

Valentines for Everone!

In Mr. P's A.P. Calculus classes, all the students gave each of the other students a valentine. The women received a total of 798 valentines and the men got 684. How many students were in Mr. P's class, how many women and how many men?

 


Solution to the Problem:

The answer is 39 students: 21 women and 18 men.


Correctly solved by:

1. wajih Ansari Harrisonburg Virginia
2. Chris Rogers Winchester, Virginia
3. Kirstine Wynn St. Olaf's College,
Northfield, Minnesota
4. David & Judy Dixon Bennettsville, South Carolina
5. Jim Arrison Norristown, Pennsylvania
6. Dave Smith Toledo, Ohio
7. Walt Arrison Philadelphia, Pennsylvania
8. Tarpley Ashworth Harrisonburg, Virginia
9. Jeffrey Gaither Winchester, Virginia
10. Kevin Jacobson Columbus, Georgia
11. Tristan Collins Winchester, Virginia
12. James Alarie University of Michigan -- Flint,
Flint, Michigan
13. Ben Swartz Winchester, Virginia
14. Keith Mealy Cincinnati, Ohio
15. Mac Dillon Columbus, Georgia
16. António Baptista Lisboa, Portugal
17. Weimers Winners Lordstown, Ohio
18. Emily Auerbach Columbus, Georgia
19. Cameron S. Columbus, Geeorgia
20. Bahadir ¨The incredible Hulk¨ Güngör,
Jonathan ¨Superduperguy¨ Aldenfalk Jansson
& Ako ¨Superman¨ Saleh
Tullängskolan, Örebro of Sweden
21. James Taylor Lordstown, Ohio
22. Johnas Eklof Tullängskolan, Örebro, Sweden
23. Cameron Burkholder Winchester, Virginia
24. Mikael Holmquist Tullängskolan, Örebro, Sweden
25. Sheila Shah Arlington, Virginia
26. Gilbert Melanson Sierra Vista, Arizona
27. Viktor "questionmark" Logrell Tullängsskolan, Örebro, Sweden
28. Jim Kennedy Limerick, Ireland
29. Arsalan Heydarian Harrisonburg Virginia
30. Trey Mason Winchester, Virginia
31. Hamza Rashid Harrisonburg Virginia
32. Larry Schwartz Trumbull, Connecticut
33. Misty Carlisle Winchester, Virginia
34. Jaime Garcia Virginia Tech,
Blacksburg, Virginia
35. Arin Smith Winchester, Virginia
36. Deepak Tyagi ----------