At the office building, Floor X and Floor Y had an equal number of tables at first. If 7 tables were removed from Floor Y and 4 times as many tables were removed from Floor X as Floor Y, the number of tables in Floor Y would be 4 times as many as in Floor X. Find the number of tables on each floor.
|
Floor X |
Floor Y |
Before |
1 u |
1 u |
Change |
- 28 |
- 7 |
After |
1 u - 28 |
1 u - 7 |
Number of tables removed from Floor X
= 4 x 7
= 28
Number of tables on Floor X and Floor Y at first is the same.
Number of tables on Floor Y is 4 times as many as Floor X in the end. If the number of tables on Floor X increases by 4 times, the number of tables on Floor X and Floor Y will be the same.
4(1 u - 28) = 1 u - 7
4 u - 112 = 1 u - 7
4 u - 1 u = 112 - 7
3 u = 105
1 u = 105 ÷ 3 = 35
Number of tables in each floor
= 1 u
= 35
Answer(s): 35