Answer to September 9, 2002 Problem

The Algebra Test Problem

 
On a 100 question test, 60 questions involve algebra and 20 questions are difficult. If 8 of the difficult questions involve algebra, how many of the questions that are not difficult do not involve algebra?

 

Solution to the Problem:

There are 8 difficult questions, so there are 60 - 8 = 52 other algebra questions. Since there are 80 non-difficult questions,and 52 of these involve algebra, the number of questions that are neither difficult nor involve algebra is 80 - 52 = 28.

This can be visualized in the Venn diagram below:


Correctly solved by:

1. Vineet Sathyan Memphis, Tennessee
2. Keith Mealy Cincinnati, Ohio
3. Kathleen Altemose Winchester, Virginia
4. George Gaither Winchester, Virginia
5. Richard Johnson La Jolla, California
6. Travis Riggs Old Dominion University,
Norfolk, Virginia
7. Ronak Dixit Columbus, Georgia
8. Matt Stewart Columbus, Georgia
9. Emily Shea Beck Columbus, Georgia
10. David and Judy Dixon Bennettsville, South Carolina
11. John Funk Ventura, California
12. Tina Zahel Winchester, Virginia
13. James Alarie University of Michigan -- Flint,
Michigan
14. Matt McMurtry Arlington, Virginia
15. Thai Long Tran Ottawa, Canada
16. Kerbey White Winchester, Virginia
17. Taylor White Memphis, Tennessee
18. Emily Butler Columbus, Georgia
19. Ross Tew ----------
20. Christopher March Virginia Tech,
Blacksburg, Virginia
21. Cerena Uttal Winchester, Virginia
22. Kirstine Wynn St. Olaf's College,
Northfield, Minnesota
23. Wolfgang Weber Regensburg, Bavaria, Germany
24. Jason Lee Columbus, Georgia
25. Geoff Keith Santa Monica, California
26. Garrett Jue Memphis, Tennessee
27. Caroline Jarell Columbus, Georgia
28. Jeff Gaither Winchester, Virginia
29. Izzy Kushner Closter, New Jersey
30. Kevin Thompson Oregon
31. KentB24 ----------
32. AKell0204 ----------
33. Amanda Robertson Winchester, Virginia
34. Matt Stillwagon Winchester, Virginia
35. Daniel Wilberger Winchester, Virginia
36. David Powell College of William and Mary,
Williamsburg, Virginia
37. Phillip Roberts Memphis, Tennessee
38. Rich Murray Ridgetown, Ontario, Canada