There were some cards in Box V and Box W. After Ken transferred
14 of the cards from Box V to Box W, the ratio of the number of cards in Box V to that in Box W changed to 1 : 4. Find the ratio of the numbers of cards in Box V to the number of cards in Box W at first.
|
Box V |
Box W |
Before |
4x1 = 4 u |
11 u |
Change |
- 1x1 = - 1 u |
+ 1 u |
After |
3x1 = 3 u |
|
Comparing Box V and Box W in the end |
1x3 = 3 u |
4x3 = 12 u |
The number of cards in Box V in the end is repeated. Make the number of cards in Box V in the end the same. LCM of 3 and 1 is 3.
At first
Box V : Box W
4 : 11
Answer(s): 4 : 11