There were some cards in Box U and Box V. After Seth transferred
13 of the cards from Box U to Box V, the ratio of the number of cards in Box U to that in Box V changed to 3 : 8. Find the ratio of the numbers of cards in Box V to the number of cards in Box U at first.
|
Box U |
Box V |
Before |
3x3 = 9 u |
13 u |
Change |
- 1x3 = - 3 u |
+ 3 u |
After |
2x3 = 6 u |
|
Comparing Box U and Box V in the end |
3x2 = 6 u |
8x2 = 16 u |
The number of cards in Box U in the end is repeated. Make the number of cards in Box U in the end the same. LCM of 2 and 3 is 6.
At first
Box V : Box U
13: 9
Answer(s): 13: 9