There were some cards in Packet D and Packet E. After Vincent transferred
25 of the cards from Packet D to Packet E, the ratio of the number of cards in Packet D to that in Packet E changed to 2 : 9. Find the ratio of the numbers of cards in Packet D to the number of cards in Packet E at first.
|
Packet D |
Packet E |
Before |
5x2 = 10 u |
23 u |
Change |
- 2x2 = - 4 u |
+ 4 u |
After |
3x2 = 6 u |
|
Comparing Packet D and Packet E in the end |
2x3 = 6 u |
9x3 = 27 u |
The number of cards in Packet D in the end is repeated. Make the number of cards in Packet D in the end the same. LCM of 3 and 2 is 6.
At first
Packet D : Packet E
10 : 23
Answer(s): 10 : 23