At the hospital, Floor Y and Floor Z had an equal number of beds at first. If 8 beds were removed from Floor Z and 4 times as many beds were removed from Floor Y as Floor Z, the number of beds in Floor Z would be 4 times as many as in Floor Y. Find the number of beds on each floor.
|
Floor Y |
Floor Z |
Before |
1 u |
1 u |
Change |
- 32 |
- 8 |
After |
1 u - 32 |
1 u - 8 |
Number of beds removed from Floor Y
= 4 x 8
= 32
Number of beds on Floor Y and Floor Z at first is the same.
Number of beds on Floor Z is 4 times as many as Floor Y in the end. If the number of beds on Floor Y increases by 4 times, the number of beds on Floor Y and Floor Z will be the same.
4(1 u - 32) = 1 u - 8
4 u - 128 = 1 u - 8
4 u - 1 u = 128 - 8
3 u = 120
1 u = 120 ÷ 3 = 40
Number of beds in each floor
= 1 u
= 40
Answer(s): 40