Formulate a system of equations for the situation below and solve. Joan and Dick spent 3 weeks (21 nights) touring four cities on the East Coast—Boston, New York, Philadelphia, and Washington. They paid $260, $440, $140, and $160 per day for lodging in each city, respectively, and their total hotel bill came to $6,320. The number of days they spent in New York was the same as the total number of days they spent in Boston and Washington, and the couple spent 3 times as many days in New York as they did in Philadelphia. How many days did Joan and Dick stay in each city? Boston     days New York     days Philadelphia     days Washington     days

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