There were some cards in Packet G and Packet H. After Seth transferred
25 of the cards from Packet G to Packet H, the ratio of the number of cards in Packet G to that in Packet H changed to 2 : 7. Find the ratio of the numbers of cards in Packet G to the number of cards in Packet H at first.
|
Packet G |
Packet H |
Before |
5x2 = 10 u |
17 u |
Change |
- 2x2 = - 4 u |
+ 4 u |
After |
3x2 = 6 u |
|
Comparing Packet G and Packet H in the end |
2x3 = 6 u |
7x3 = 21 u |
The number of cards in Packet G in the end is repeated. Make the number of cards in Packet G in the end the same. LCM of 3 and 2 is 6.
At first
Packet G : Packet H
10 : 17
Answer(s): 10 : 17