A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs ​$66. A season ski pass costs ​$400. The skier would have 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.

The cost of renting skis for x days would be 20*x = $<<20*x=20x>>20x.

The cost of using daily passes for x days would be 66*x = $<<66*x=66x>>66x.

To make the season pass less expensive than the daily passes, we set up the following inequality:

400 + 20x < 66x

Subtracting 20x from both sides, we get:

400 < 46x

Dividing both sides by 46, we get:

400/46 < x

Approximately, 8.6957 < x

Therefore, the skier would have to go skiing for more than 8.6957 or 9 days in order to make the season pass less expensive than the daily passes.