There are few dragons left in the Kingdom of Lidd, and they have been put on the
endangered species list. There are two types of dragons in Lidd. The first type have
reasoned that devouring domestic animals and humans is, in the long run, not healthy for
dragons. They are known as RATIONALS. The second type of dragons however, are
reluctant to give up their traditional ways and still feed on animals and humans. They are
known in Lidd as PREDATORS. The King of Lidd has decreed that the RATIONAL
dragons shall be protected. Any Knight caught slaying a RATIONAL dragon will spend
the rest of his days in the dungeon. However, if a Knight kills a PREDATOR, he will be
rewarded with a pot of gold. Now you need to know that in addition to being RATIONALS
or PREDATORS, dragons in Lidd are of two different colors related to their veracity.
GRAY RATIONAL dragons always tell the truth, RED RATIONAL dragons always lie.
On the other hand, RED PREDATORS always tell the truth while GRAY PREDATORS
always lie. To make matters worse, all the dragons from the neighboring country of Wonk
have been driven out of their land into the kingdom of Lidd. It is easy to tell a dragon
from Wonk because they are all BLUE. But a dragon from Wonk can either be a
RATIONAL (and thus be protected by the King's decree) or a PREDATOR but ALL
dragons from Wonk ALWAYS lie. So to help a Knight on his quest, it would help to
know the color of the dragon. However, there is an affliction that affects every person in
Lidd: they are colorblind. To them, ALL dragons look gray.
A knight looking for a PREDATOR to slay runs into three dragons. The Knight asks them
about each of their type and color. This is how they responded:
A. If asked, B would claim that C is a PREDATOR.
I am GRAY.
B is RATIONAL.
B. If asked, C would claim that A is a RATIONAL.
C is RED.
C. If asked, A would claim that B is RED.
A is GRAY.
What color and type is each dragon? Be sure to show ALL of your work!!