Assignment:
The Hansons are considering two possible vacation destinations. A trip out west will cost $1075 in total airfare plus an average of $450 per day in expenses. A trip south will cost $1500 in total airfare plus an average of $365 per day in expenses. How many days should they stay so that a trip south is cheaper than a trip west?
Provide complete and step by step solution for the question and show calculations and use formulas.