Formulate but do not solve the problem. Joan and Dick spent 2 weeks (14 nights) touring four cities on the East Coast: Boston, New York, Philadelphia, and Washington. They paid $280, $400, $140, and $100 per night for lodging in each city, respectively, and their total hotel bill came to $4000. 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.)
Formulate but do not solve the problem. Joan and Dick spent 2 weeks (14 nights) touring four cities on the East Coast: Boston, New York, Philadelphia, and Washington. They paid $280, $400, $140, and $100 per night for lodging in each city, respectively, and their total hotel bill came to $4000. 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.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Formulate but do not solve the problem.
Joan and Dick spent 2 weeks (14 nights) touring four cities on the East Coast: Boston, New York, Philadelphia, and Washington. They paid $280, $400, $140, and $100 per night for lodging in each city, respectively, and their total hotel bill came to $4000. 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
4000
x + w
3z
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