A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $73. 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?

Question

A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs ​$73. 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?

GPT 3.5 · Answer

Let's assume the skier goes skiing for 'x' days.
With a daily pass, the total cost for skiing for 'x' days would be 73x + 20x.
With a season pass, the total cost for skiing for 'x' days would be 400 + 20x.
We need to find when the season pass becomes less expensive than the daily passes, so we need to solve the following equation:
400 + 20x < 73x + 20x
400 < 93x
400/93 < x
x > 4.3
Since 'x' represents the number of days the skier goes skiing, it cannot be a fraction or a decimal. Therefore, the skier would have to go skiing for 5 days to make the season pass less expensive than the daily passes.