Yeah depending on where you are, transportation will be the biggest cost, once you're out there look for places that are a little less known and don't be afraid to stay at hostels or cram into a shitty hotel. Don't go out to eat and make sure to bring food to eat on the mountain (that's where it starts to add up). Also for lift tickets, check out liftopia or people selling them on craigslist, you can even get them from sports stores around the area just try not to buy them from the resort (you can almost always find a deal)
For example:
Salt Lake
Airport there, pretty good public transportation (especially to and from resorts)
Plenty of hotels (even if you're not right at the base of the canyon)
Can find a good deal on tickets
Or say Idaho, Sun Valley is cool, but there's no easy way to get there (aka more expensive) and once you're there everything in Ketchum is pretty much centered around Sun Valley, so everything is more expensive
If you choose a place that has other attractions, aka a city, then you're bound to get a better deal.