The business direct hotel caters to people who travel for different types of business trips. on saturday night there is not a lot of business travel, so the ratio of the number of occupied rooms to the number of unoccupied rooms is 2: 5. however, on sunday night the ratio of the number of occupied rooms to the number of unoccupied rooms is 6: 1 due to the number of business people attending a large conference in the area. if the business direct hotel has 432 occupied rooms on sunday night, how many unoccupied rooms does it have on saturday night?