Jessica and her friend Sophie are planning a trip for summer vacation. They are currently looking at two different packages. The first package is a trip to Boston where the flight is only a $400 round trip and the hotel charges $100 a night. The second vacation package is a trip to Lyon, France with a $800 flight and only $50 a night for the hotel. Both packages have the same cost and last for the same number of nights. Determine how much Jessica and Sophie would be spending and how many nights they would be staying in either location.