There were some cards in Bag X and Bag Y. After Albert transferred
35 of the cards from Bag X to Bag Y, the ratio of the number of cards in Bag X to that in Bag Y changed to 1 : 7. Find the ratio of the numbers of cards in Bag Y to the number of cards in Bag X at first.
|
Bag X |
Bag Y |
Before |
5x1 = 5 u |
11 u |
Change |
- 3x1 = - 3 u |
+ 3 u |
After |
2x1 = 2 u |
|
Comparing Bag X and Bag Y in the end |
1x2 = 2 u |
7x2 = 14 u |
The number of cards in Bag X in the end is repeated. Make the number of cards in Bag X in the end the same. LCM of 2 and 1 is 2.
At first
Bag Y : Bag X
11: 5
Answer(s): 11: 5