At the office building, Storey M and Storey N had an equal number of tables at first. If 6 tables were removed from Storey N and 5 times as many tables were removed from Storey M as Storey N, the number of tables in Storey N would be 3 times as many as in Storey M. Find the number of tables on each storey.
|
Storey M |
Storey N |
Before |
1 u |
1 u |
Change |
- 30 |
- 6 |
After |
1 u - 30 |
1 u - 6 |
Number of tables removed from Storey M
= 5 x 6
= 30
Number of tables on Storey M and Storey N at first is the same.
Number of tables on Storey N is 3 times as many as Storey M in the end. If the number of tables on Storey M increases by 3 times, the number of tables on Storey M and Storey N will be the same.
3(1 u - 30) = 1 u - 6
3 u - 90 = 1 u - 6
3 u - 1 u = 90 - 6
2 u = 84
1 u = 84 ÷ 2 = 42
Number of tables in each floor
= 1 u
= 42
Answer(s): 42