There were some cards in Bag G and Bag H. After Glen transferred
14 of the cards from Bag G to Bag H, the ratio of the number of cards in Bag G to that in Bag H changed to 2 : 3. Find the ratio of the numbers of cards in Bag G to the number of cards in Bag H at first.
|
Bag G |
Bag H |
Before |
4x2 = 8 u |
7 u |
Change |
- 1x2 = - 2 u |
+ 2 u |
After |
3x2 = 6 u |
|
Comparing Bag G and Bag H in the end |
2x3 = 6 u |
3x3 = 9 u |
The number of cards in Bag G in the end is repeated. Make the number of cards in Bag G in the end the same. LCM of 3 and 2 is 6.
At first
Bag G : Bag H
8 : 7
Answer(s): 8 : 7