Its an 80's movie and I believe the word fire mite be in the title. Its about a boy in an all boy reform school and he meets a catholic school girl at a dance. Who belongs to an all girl school

Fire with Fire (http://www.imdb.com/title/tt0091053/)

Wow I think you mite be right... have you seen it?

I haven't, it just gets asked about a lot on movie boards.