MATH 1020Q – Problem Solving
Assignment 4: Best Friends
Due: February 13th, 2020
Clue Sheet
There are six college students sitting on one of the UConn buses. Three are sitting on each side of the
bus, facing each other. They are all friends, but each person considers one person in the group to be
their best friend. You must determine for each person: what their favorite school activity is, where they
are sitting on the bus, and who they consider their best friend to be. Justify all your conclusions!
The seats on the bus are labeled as follows:
Seat 2
Seat 3
Driver’s
Seat
Across from
Seat 1
Next to
Seat 4
Seat 5
Seat 6
Given:
Only one person participates in each activity (there is only one choir member, etc). Friendships
might not necessarily be mutual (Person A’s best friend may be Person B, but Person B’s best
friend is not necessarily Person A, but they could be).
Clues:
1.
2.
3.
4.
5.
6.
Kelly’s best friend sits across from her.
Bob’s best friend is not the basketball player, but Bob is sitting next to the basketball player.
Mia’s best friend is in the choir, but Mia is sitting across from the Model UN representative.
The football player is sitting across from the person in the ski club.
Tim’s best friend is in the Student Council, but Tim is sitting next to the person in the choir.
Ted is sitting right behind the driver. Ted does not like to ski, but his best friend is on the
football team.
7. Jan is not in the Model UN nor the choir, but she is sitting between the football player and the
Student Council member.
Use these clues and the grid to figure out all of the characteristics of Kelly, Mia, Tim, Jan, Bob, and Ted.
Seat 1
Seat 2
Seat 3
Name:________________________________
Name:________________________________
Name:________________________________
Activity:_______________________________
Activity:_______________________________
Activity:_______________________________
Best Friend’s Name:_____________________
Best Friend’s Name:_____________________
Best Friend’s Name:_____________________
Seat 4
Seat 5
Seat 6
Name:________________________________
Name:________________________________
Name:________________________________
Activity:_______________________________
Activity:_______________________________
Activity:_______________________________
Best Friend’s Name:_____________________
Best Friend’s Name:_____________________
Best Friend’s Name:_____________________