At the factory, Level X and Level Y had an equal number of machines at first. If 9 machines were removed from Level Y and 3 times as many machines were removed from Level X as Level Y, the number of machines in Level Y would be 3 times as many as in Level X. Find the number of machines on each level.
| |
Level X |
Level Y |
| Before |
1 u |
1 u |
| Change |
- 27 |
- 9 |
| After |
1 u - 27 |
1 u - 9 |
Number of machines removed from Level X
= 3 x 9
= 27
Number of machines on Level X and Level Y at first is the same.
Number of machines on Level Y is 3 times as many as Level X in the end. If the number of machines on Level X increases by 3 times, the number of machines on Level X and Level Y will be the same.
3(1 u - 27) = 1 u - 9
3 u - 81 = 1 u - 9
3 u - 1 u = 81 - 9
2 u = 72
1 u = 72 ÷ 2 = 36
Number of machines in each floor
= 1 u
= 36
Answer(s): 36
