At the office building, Level K and Level L had an equal number of chairs at first. If 8 chairs were removed from Level L and 4 times as many chairs were removed from Level K as Level L, the number of chairs in Level L would be 5 times as many as in Level K. Find the number of chairs on each level.
|
Level K |
Level L |
Before |
1 u |
1 u |
Change |
- 32 |
- 8 |
After |
1 u - 32 |
1 u - 8 |
Number of chairs removed from Level K
= 4 x 8
= 32
Number of chairs on Level K and Level L at first is the same.
Number of chairs on Level L is 5 times as many as Level K in the end. If the number of chairs on Level K increases by 5 times, the number of chairs on Level K and Level L will be the same.
5(1 u - 32) = 1 u - 8
5 u - 160 = 1 u - 8
5 u - 1 u = 160 - 8
4 u = 152
1 u = 152 ÷ 4 = 38
Number of chairs in each floor
= 1 u
= 38
Answer(s): 38