There were some cards in Bag S and Bag T. After Fred transferred
13 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 1 : 4. Find the ratio of the numbers of cards in Bag T to the number of cards in Bag S at first.
|
Bag S |
Bag T |
Before |
3x1 = 3 u |
7 u |
Change |
- 1x1 = - 1 u |
+ 1 u |
After |
2x1 = 2 u |
|
Comparing Bag S and Bag T in the end |
1x2 = 2 u |
4x2 = 8 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 2 and 1 is 2.
At first
Bag T : Bag S
7: 3
Answer(s): 7: 3