Question

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 principle’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 principle’s child.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 principle’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 principle’s child.

Answer 1

In this logic puzzle, six friends have different crushes on each other. By analyzing the given information, we can determine who has a crush on whom. Based on the clues provided, we can conclude that Frank likes the cheerleader, Gina is crazy about the class president, Betty is in love with the person sitting opposite her, Joe is not the valedictorian, Ron dislikes the basketball player, and Sally has a crush on the volleyball player.

Step-by-step explanation:

The question you provided describes a logic puzzle called 'Who is in love with whom?' In this puzzle, six friends - Betty, Frank, Gina, Joe, Ron, and Sally - have different crushes on each other. By analyzing the given information, we can determine who has a crush on whom.

Based on the clues given, we can deduce that:

• Frank likes the cheerleader, but he is sitting opposite the valedictorian.
• Gina is sitting next to the cheerleader and is crazy about the class president.
• Betty is in love with the person sitting opposite her.
• Joe, who is not the valedictorian, is sitting between the volleyball player and the class president.
• Ron dislikes the basketball player.
• Sally, an orphan, is sitting against the wall and has a crush on the volleyball player.
• The volleyball player sits opposite the principle's child.

Using logical reasoning and this information, we can conclude that:

• The cheerleader is sitting next to Frank and Gina and opposite the valedictorian.
• The principle's child is sitting opposite the volleyball player.
• The class president is sitting next to Joe and Gina.
• Betty is sitting across from the cheerleader.
• Joe is not the valedictorian and is sitting next to the class president and volleyball player.
• Based on these deductions, we can determine the following:
• The senior class president is sitting next to the volleyball player and opposite Gina.
• The valedictorian is sitting opposite Frank.
• Based on the given information, we can conclude the following:
• Frank has a crush on the cheerleader.
• Gina has a crush on the senior class president.
• Betty has a crush on the valedictorian.
• Joe is not the valedictorian and Ron dislikes the basketball player.
• Sally, the principle's only child, has a crush on the volleyball player.

Using logical deduction, we can determine the final connections:

• Frank has a crush on the cheerleader.
• Gina has a crush on the senior class president.
• Betty has a crush on the valedictorian.
• Joe does not have a crush on anyone mentioned.
• Ron dislikes the basketball player.
• Sally has a crush on the volleyball player.

Answer 2

Betty is in love with the person sitting opposite her. So, Betty must be sitting either across from Frank, Joe, Ron, Sally, or Gina.

Frank liked the cheerleader but was sitting opposite the valedictorian. Therefore, Frank must be sitting across from the valedictorian.

Gina is crazy about the class president and is sitting next to the cheerleader. The only person left for the class president is Joe, as Frank is opposite the valedictorian. Therefore, Gina is sitting next to the cheerleader, and Joe is the class president.

Ron dislikes the basketball player. The only person left for the basketball player is Ron.

Sally has a crush on the volleyball player. Since Sally is an orphan, and we know the volleyball player is the principal's child, Sally must be sitting across from the volleyball player.