MATH 102Q - Problem SolvingFall 2007 Sections 001 and 002

Homework Assignment 4 - The Prom ProblemDue September 19, 2007

Name: _______________________________

After the senior prom, six friends went to their favorite restaurant, where they shared a booth.The group consisted of the senior class president, the valedictorian, the head cheerleader, a player on the school volleyball team, a player on the school basketball team, and the school principal's only child.Their names were Betty, Frank, Gina, Joe, Ron, and Sally, not necessarily in that order.Each of the six was in love with one of the others of the opposite sex, but no two had crushes on the same person.

Frank liked the cheerleader but was sitting opposite the valedictorian.

Gina was sitting next to the cheerleader and was crazy about the class president.

Betty was in love with the person sitting opposite her.

Joe, who was not the valedictorian, was sitting between the volleyball player and the class president.

Ron disliked the basketball player.

Sally, an orphan, was sitting against the wall and had a crush on the volleyball player.

The volleyball player sat opposite the principal's child.

Identify each person's claim to fame and complete the chart below.(From 31 of the book.)

Cheerleader

Valedictorian

President

Volleyball

Basketball

Principal's Child

Betty

Frank

Gina

Joe

Ron

Sally

I need to find out who is who in terms of being the cheerleader, valedictorian, president, volleyball player, basketball player, and principal's child

(A table would be best to show the work)

I also need to find out who loves who (A table would be best to show work)

Lastly, I need to find out where they are seated at a table with a wall to the left and a table extending out with three chairs above and below it.

(A visual of what I described filled in would be the best)

Cheerleader Volleyball:

Valedictorian: Basketball:

President: Principal's Child: