Christina, a frequent business traveler, is considering signing up for a hotel rewards program. Hotel Elegance is currently offering 790 points for signing up, plus 93 points for every night Christina books at the hotel. Alternatively, Hotel Paradiso is offering a sign-up bonus of 932 points, plus 22 points per night. If Christina books a certain number of nights, the points she earns with either hotel will be the same. How many nights will that be? How many points will she have?