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 |