Formulate a system of equations for the situation below and solve.
Joan and Tim spent 2 weeks (14 nights) touring four cities on the East Coast—Boston, New York, Philadelphia, and Washington. They paid $260, $440, $140, and $200 per day for lodging in each city, respectively, and their total hotel bill came to $4,300. 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 Tim stay in each city?
1 answer