A students hotel has 60 rooms. One-fifth of the rooms can accommodate 1 student per room, one-fifth can accommodate 2 students per room and the rest can accommodate 3 student per room. What is the maximum number of students that can be accommodated
in the hostel.
Answers
Answer:
180
Step-by-step explanation:
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Given:
Total number of hostel rooms = 60
To find:
The maximum number of students who can live in the hostel.
Solution:
1/5 of 60 rooms can accommodate 1 student in each room.
⇒ × 60 = 12 rooms
Total students in 12 rooms = 12 students ( 1 )
1/5 of 60 rooms can accommodate 2 students in each room.
⇒ × 60 = 12 rooms
Total students in 12 rooms = 12 × 2 = 24 students ( 2 )
Remaining rooms = 60 - ( 12 + 12) = 60 - 24 = 36 rooms
36 rooms can accommodate 3 students in each room.
Total students in 36 rooms = 36 × 3 = 108 students ( 3 )
Adding 1, 2, and 3,
We get total number of students that can be accommodated in the hostel = 12 + 24 + 108 = 144
Total number of students that can live in the hostel is 144 students.