Joan and Dick spent 2 weeks (14 nights) touring four cities on the East Coast: Boston, New York, Philadelphia, and Washington. They paid $260, $400, $140, and $100 per night for lodging in each city, respectively, and their total hotel bill came to $3920. 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? (Let x, y, z, and w denote the numbers of days spent in Boston, New York, Philadelphia, and Washington, D.C., respectively.
Joan and Dick spent 2 weeks (14 nights) touring four cities on the East Coast: Boston, New York, Philadelphia, and Washington. They paid $260, $400, $140, and $100 per night for lodging in each city, respectively, and their total hotel bill came to $3920. 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? (Let x, y, z, and w denote the numbers of days spent in Boston, New York, Philadelphia, and Washington, D.C., respectively.
Chapter7: Systems Of Equations And Inequalities
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Joan and Dick spent 2 weeks (14 nights) touring four cities on the East Coast: Boston, New York, Philadelphia, and Washington. They paid $260, $400, $140, and $100 per night for lodging in each city, respectively, and their total hotel bill came to $3920. 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? (Let x, y, z, and w denote the numbers of days spent in Boston, New York, Philadelphia, and Washington, D.C., respectively.)
14
3920
x + w
3z
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