There were some cards in Bag W and Bag X. After Jeremy transferred
13 of the cards from Bag W to Bag X, the ratio of the number of cards in Bag W to that in Bag X changed to 3 : 7. Find the ratio of the numbers of cards in Bag X to the number of cards in Bag W at first.
|
Bag W |
Bag X |
Before |
3x3 = 9 u |
11 u |
Change |
- 1x3 = - 3 u |
+ 3 u |
After |
2x3 = 6 u |
|
Comparing Bag W and Bag X in the end |
3x2 = 6 u |
7x2 = 14 u |
The number of cards in Bag W in the end is repeated. Make the number of cards in Bag W in the end the same. LCM of 2 and 3 is 6.
At first
Bag X : Bag W
11: 9
Answer(s): 11: 9