At the office building, Level L and Level M had an equal number of tables at first. If 9 tables were removed from Level M and 5 times as many tables were removed from Level L as Level M, the number of tables in Level M would be 5 times as many as in Level L. Find the number of tables on each level.
|
Level L |
Level M |
Before |
1 u |
1 u |
Change |
- 45 |
- 9 |
After |
1 u - 45 |
1 u - 9 |
Number of tables removed from Level L
= 5 x 9
= 45
Number of tables on Level L and Level M at first is the same.
Number of tables on Level M is 5 times as many as Level L in the end. If the number of tables on Level L increases by 5 times, the number of tables on Level L and Level M will be the same.
5(1 u - 45) = 1 u - 9
5 u - 225 = 1 u - 9
5 u - 1 u = 225 - 9
4 u = 216
1 u = 216 ÷ 4 = 54
Number of tables in each floor
= 1 u
= 54
Answer(s): 54