skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $65. A season ski pass costs 5450. The skier would lave to rent skis with either pass for $20 per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily passes?

1 answer

Let's assume the skier goes skiing for "x" number of days.
With the daily pass, the skier would have to spend $65 * x for daily passes.
However, the skier would also have to spend $20 * x for renting skis.
So, the total cost with the daily passes is $65x + $20x = $85x.

On the other hand, the cost of the season ski pass is $5450.
If the skier purchases the season ski pass, they won't have to pay the daily pass fee ($65x) or the ski rental fee ($20x).

Therefore, we need to find the value of "x" when $5450 < $85x.
Dividing both sides of the inequality by $85, we get:
$5450 / $85 < x
64.12 < x

So, the skier would have to go skiing for at least 65 days to make the season pass less expensive than the daily passes.