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Crown Jewels

Solution

Red crown with jewels shaped like triangular and rectangular prisms. Blue crown with jewels shaped like spheres. Yellow crown with jewels shaped like triangular and rectangular prisms and spheres. Green crown with jewels shaped like spheres and triangular prisms.
King Kyle
red		 Princess Breanna
blue		 Queen Laura
yellow		 Prince Peter
green

Explanation

Red crown with jewels shaped like triangular and rectangular prisms. Blue crown with jewels shaped like spheres. Yellow crown with jewels shaped like triangular and rectangular prisms and spheres. Green crown with jewels shaped like spheres and triangular prisms.
King Kyle's crown has both triangular prisms and rectangular prisms. Princess Breanna's crown has spheres only. Queen Laura's crown has 3 kinds of jewels. She has triangular prisms and rectangular prisms like King Kyle's crown, but she also has spheres like the Princess's crown. Prince Peter does not have any rectangular prisms. This must be his crown because Breanna has the only other crown without rectangular prisms, but she has only 1 kind of jewel.
Houghton Mifflin