SOLUTION: 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

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: 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      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 439724: 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?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
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?
.
Let d = number of days
then
cost of west trip:
450d + 1075
cost of south trip:
375d + 1500
.
375d + 1500 < 450d + 1075
1500 < 75d + 1075
425 < 75d
5.67 < d
answer: 6 days or greater