There were some cards in Bag F and Bag G. After Seth transferred
15 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 3 : 4. Find the ratio of the numbers of cards in Bag F to the number of cards in Bag G at first.
|
Bag F |
Bag G |
Before |
5x3 = 15 u |
13 u |
Change |
- 1x3 = - 3 u |
+ 3 u |
After |
4x3 = 12 u |
|
Comparing Bag F and Bag G in the end |
3x4 = 12 u |
4x4 = 16 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 4 and 3 is 12.
At first
Bag F : Bag G
15 : 13
Answer(s): 15 : 13