There were some cards in Bag Y and Bag Z. After Vincent transferred
13 of the cards from Bag Y to Bag Z, the ratio of the number of cards in Bag Y to that in Bag Z changed to 3 : 5. Find the ratio of the numbers of cards in Bag Y to the number of cards in Bag Z at first.
|
Bag Y |
Bag Z |
Before |
3x3 = 9 u |
7 u |
Change |
- 1x3 = - 3 u |
+ 3 u |
After |
2x3 = 6 u |
|
Comparing Bag Y and Bag Z in the end |
3x2 = 6 u |
5x2 = 10 u |
The number of cards in Bag Y in the end is repeated. Make the number of cards in Bag Y in the end the same. LCM of 2 and 3 is 6.
At first
Bag Y : Bag Z
9 : 7
Answer(s): 9 : 7