At the hospital, Level Q and Level R had an equal number of beds at first. If 8 beds were removed from Level R and 7 times as many beds were removed from Level Q as Level R, the number of beds in Level R would be 4 times as many as in Level Q. Find the number of beds on each level.
| |
Level Q |
Level R |
| Before |
1 u |
1 u |
| Change |
- 56 |
- 8 |
| After |
1 u - 56 |
1 u - 8 |
Number of beds removed from Level Q
= 7 x 8
= 56
Number of beds on Level Q and Level R at first is the same.
Number of beds on Level R is 4 times as many as Level Q in the end. If the number of beds on Level Q increases by 4 times, the number of beds on Level Q and Level R will be the same.
4(1 u - 56) = 1 u - 8
4 u - 224 = 1 u - 8
4 u - 1 u = 224 - 8
3 u = 216
1 u = 216 ÷ 3 = 72
Number of beds in each floor
= 1 u
= 72
Answer(s): 72
