Answer to Question #2641 in Algebra for vandilyn

Question

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 whould they stay so that a trip south is cheaper than a trip west?

Answer 1

Let n be the total number of days. Then the cost& of trip west is equal to
$1075 + n * $450,

while the cost of trip south is
$1500 + n*$365.

We should have n such that
1075 + 450 n> 1500 + 365 n
85 n >& 425
& n > 5

So the south trip should be at least 6 days.