First, we need to find out how many rooms there are in total in the dormitory.
There are 6 wings with 9 floors each, for a total of 6 x 9 = 54 floors.
Each floor has 18 rooms, so the total number of rooms in the dormitory is 54 x 18 = 972.
A third of these rooms are private rooms, which is 1/3 x 972 = 324 rooms.
That leaves 972 - 324 = 648 rooms for doubles.
Since each double room houses 2 students, there are 648 x 2 = 1296 students in double rooms.
The number of single rooms is equal to the number of private rooms, which is 324.
Therefore, there are 324 lucky students who will have single rooms in the new dormitory.
A massive dormitory was built on the campus of EdHelper States University.
The dormitory consisted of six wings with nine floors per wing. Each floor has eighteen rooms. A third of the rooms were private rooms. The remaining rooms were doubles, housing 2 students each. How many students will be lucky and have single rooms in the new dormitory?
1 answer