Claim: Green Day won five Grammy Awards for Best Alternative Album, Best Rock Album, Record of the Year, Best Rock Album, and Best Musical Show Album.
Evidence: The group has won five Grammy Awards : Best Alternative Album for Dookie , Best Rock Album for American Idiot , Record of the Year for `` Boulevard of Broken Dreams '' , Best Rock Album for the second time for 21st Century Breakdown and Best Musical Show Album for American Idiot : The Original Broadway Cast Recording.