There were some cards in Bag T and Bag U. After Reggie transferred
15 of the cards from Bag T to Bag U, the ratio of the number of cards in Bag T to that in Bag U changed to 1 : 5. Find the ratio of the numbers of cards in Bag U to the number of cards in Bag T at first.
|
Bag T |
Bag U |
Before |
5x1 = 5 u |
19 u |
Change |
- 1x1 = - 1 u |
+ 1 u |
After |
4x1 = 4 u |
|
Comparing Bag T and Bag U in the end |
1x4 = 4 u |
5x4 = 20 u |
The number of cards in Bag T in the end is repeated. Make the number of cards in Bag T in the end the same. LCM of 4 and 1 is 4.
At first
Bag U : Bag T
19: 5
Answer(s): 19: 5