At the hospital, Storey D and Storey E had an equal number of beds at first. If 9 beds were removed from Storey E and 3 times as many beds were removed from Storey D as Storey E, the number of beds in Storey E would be 3 times as many as in Storey D. Find the number of beds on each storey.
|
Storey D |
Storey E |
Before |
1 u |
1 u |
Change |
- 27 |
- 9 |
After |
1 u - 27 |
1 u - 9 |
Number of beds removed from Storey D
= 3 x 9
= 27
Number of beds on Storey D and Storey E at first is the same.
Number of beds on Storey E is 3 times as many as Storey D in the end. If the number of beds on Storey D increases by 3 times, the number of beds on Storey D and Storey E will be the same.
3(1 u - 27) = 1 u - 9
3 u - 81 = 1 u - 9
3 u - 1 u = 81 - 9
2 u = 72
1 u = 72 ÷ 2 = 36
Number of beds in each floor
= 1 u
= 36
Answer(s): 36