The couple spent 2 weeks touring 4 cities on East Coast: Boston, New York, Philadelphia, and Washington DC. They paid $120, $200, $80, and $100/night for lodging in every city, respectively and their total bill came to $2020. Number of days they spent in New York was same as total number of days they spent in Boston and Washington DC, and couple spent three times as many days in New York as they spent in Philadelphia. Find number of days they stayed in every city.