There were some buttons in Packet D and Packet E. After Seth transferred
23 of the buttons from Packet D to Packet E, the ratio of the number of buttons in Packet D to that in Packet E changed to 3 : 7. Find the ratio of the numbers of buttons in Packet D to the number of buttons in Packet E at first.
|
Packet D |
Packet E |
Before |
3x3 = 9 u |
1 u |
Change |
- 2x3 = - 6 u |
+ 6 u |
After |
1x3 = 3 u |
|
Comparing Packet D and Packet E in the end |
3x1 = 3 u |
7x1 = 7 u |
The number of buttons in Packet D in the end is repeated. Make the number of buttons in Packet D in the end the same. LCM of 1 and 3 is 3.
At first
Packet D : Packet E
9 : 1
Answer(s): 9 : 1