Colorful Street 2

There are 15 houses along the street, colored red, blue, and green. There is at least one house of each color.
Between any two blue houses there is a red house. Between any two green houses there is a blue house.
What is the largest possible number of green houses?
Note: The street is straight, and all houses are located on one side of the street.

Difficulty level (1 very easy - 10 very hard): 1

Topics:
Combinatorics -> Pigeonhole Principle Proof and Example -> Constructing an Example / Counterexample Combinatorics -> Case Analysis / Checking Cases -> Processes / Procedures
Sources:
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