At the office building, Level L and Level M had an equal number of chairs at first. If 6 chairs were removed from Level M and 7 times as many chairs were removed from Level L as Level M, the number of chairs in Level M would be 5 times as many as in Level L. Find the number of chairs on each level.
|
Level L |
Level M |
Before |
1 u |
1 u |
Change |
- 42 |
- 6 |
After |
1 u - 42 |
1 u - 6 |
Number of chairs removed from Level L
= 7 x 6
= 42
Number of chairs on Level L and Level M at first is the same.
Number of chairs on Level M is 5 times as many as Level L in the end. If the number of chairs on Level L increases by 5 times, the number of chairs on Level L and Level M will be the same.
5(1 u - 42) = 1 u - 6
5 u - 210 = 1 u - 6
5 u - 1 u = 210 - 6
4 u = 204
1 u = 204 ÷ 4 = 51
Number of chairs in each floor
= 1 u
= 51
Answer(s): 51