What kind of school is Yancy Academy?

boarding school

Yancy Academy is the private boarding school that Percy Jackson attended in the sixth grade during the The Lightning Thief. Known classes that can be taken in this school include Pre-algebra, English, and Latin. It is a school for troubled kids, but many of the students were from well-off, rich families unlike Percy.

Explanation:

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the virginia plan called for three branches of government and two houses of congress. representation in each house would be determined by population. the new jersey plan called for three branches of government and a single house of congress. each state would have an equal vote.