There were some cards in Bag S and Bag T. After Seth transferred
34 of the cards from Bag S to Bag T, the ratio of the number of cards in Bag S to that in Bag T changed to 2 : 7. Find the ratio of the numbers of cards in Bag S to the number of cards in Bag T at first.
|
Bag S |
Bag T |
Before |
4x2 = 8 u |
1 u |
Change |
- 3x2 = - 6 u |
+ 6 u |
After |
1x2 = 2 u |
|
Comparing Bag S and Bag T in the end |
2x1 = 2 u |
7x1 = 7 u |
The number of cards in Bag S in the end is repeated. Make the number of cards in Bag S in the end the same. LCM of 1 and 2 is 2.
At first
Bag S : Bag T
8 : 1
Answer(s): 8 : 1