# Answer on Algebra Question for vandilyn

Question #2641

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?

Expert's answer

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.

$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.

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