There were some cards in Bag F and Bag G. After Jeremy transferred
25 of the cards from Bag F to Bag G, the ratio of the number of cards in Bag F to that in Bag G changed to 2 : 5. Find the ratio of the numbers of cards in Bag G to the number of cards in Bag F at first.
|
Bag F |
Bag G |
Before |
5x2 = 10 u |
11 u |
Change |
- 2x2 = - 4 u |
+ 4 u |
After |
3x2 = 6 u |
|
Comparing Bag F and Bag G in the end |
2x3 = 6 u |
5x3 = 15 u |
The number of cards in Bag F in the end is repeated. Make the number of cards in Bag F in the end the same. LCM of 3 and 2 is 6.
At first
Bag G : Bag F
11: 10
Answer(s): 11: 10