Question

A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs ​$79. A season ski pass costs ​$350. The skier would have to rent skis with either pass for ​$30per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily​ passes?

Answer 1

Let s =cost of skiing per day. Here's what we know:

450 + 20s = 64s + 20s (the season pass plus ski rentals equates to daily skiing plus ski rentals)

We have 20s on both sides, so those cancel out easily:

450 = 64s

Divide both sides by 64:

7.03 ≈ s

You can't pay for a partial day, so the skier will have to ski for at least 8 days to make the season pass cheaper than getting daily passes.

Explanation:

Hope this helps :D