SOLUTION: I just returned from a 10 day vacation where I spent time at a hotel that cost $60 dollars/day and a campground that cost $15 dollars/ day for a total of $330. How many days did I

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Question 1096185: I just returned from a 10 day vacation where I spent time at a hotel that cost $60 dollars/day and a campground that cost $15 dollars/ day for a total of $330. How many days did I spend at the hotel and how many days id I spend at the campground ? Don't know how to set up equation! Thank you.
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
Let x be the number of days at the campground.

Then the number of days at the hotel is (10-x).


You pay 60*(10-x) dollars for staying at the hotel and 15*x dollars for the campground.


In all,

60*(10-x) + 15*x = 330   dollars.


It is your equation, and the setup is done.


Now simplify the equation and solve it for x.


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To learn better on how to setup and how to solve similar problems, see the lessons
    - Using systems of equations to solve problems on tickets
    - Using systems of equations to solve problems on investment
    - Two mechanics work on a car
    - The Robinson family and the Sanders family each used their sprinklers last summer
    - System of equations helps to solve a problem for the Thanksgiving day
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Systems of two linear equations in two unknowns".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.



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