Answer to September 14, 1998 Problem |
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Football Pairings Three local sportscasters, Dan, Ben, and Ray, each predicted the winners of the four local football games. The only team not picked to win was Clarke County.Dan picked: Handley, Warren County, James Wood, and Strasburg. Ray picked: Loudoun Valley, James Wood, Sherando, and Handley. Ben picked: Warren County, Musselman, Handley, and Loudoun Valley. Which teams are playing each other? |
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Solution to Problem:
The pairings for the games are: Handley vs. Clarke County Warren County vs. Sherando James Wood vs. Musselman Strasburg vs. Loudoun Valley First, it is important to realize that none of the four teams listed by each sportswriter could be playing each other. Begin with Dan's predictions: Handley, Warren, James Wood, and Strasburg cannot play each other. From Ben, we know that Musselman and Loudoun Valley must be James Wood's and Strasburg's opponents. |
| 1. Michael Leatherman | Norfolk, VA |
| 2. Gretchen Downey | Winchester, VA |
| 3. Chad McDaniel | Winchester, VA |
| 4. Devin Grim | Winchester, VA |
| 5. Mike Biggs | Charlottesville, VA |
| 6. Angie Cunsolo | Winchester, VA |
| 7. Katie Jennis | Winchester, VA |
| 8. Jay O'Donnell | Winchester, VA |
| 9. Trey Genda | Winchester, VA |
| 10. Dante DeFazio | Winchester, VA |
| 11. Todd Lewis | Winchester, VA |
| 12. Matthew Reames | Roanoke, VA |
| 13. Anna Hauger | Winchester, VA |
| 14. Krista Ramey | Winchester, VA |
| 15. Elizabeth Dyke | Winchester, VA |
| 16. John Beavers | Winchester, VA |
| 17. Barrett Waybright | Winchester, VA |
| 18. Kat Bronson | Winchester, VA |