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?
Solution to the 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.