There were some cards in Box D and Box E. After Japheth transferred
34 of the cards from Box D to Box E, the ratio of the number of cards in Box D to that in Box E changed to 2 : 9. Find the ratio of the numbers of cards in Box E to the number of cards in Box D at first.
| |
Box D |
Box E |
| Before |
4x2 =
8 u |
3 u |
| Change |
- 3x2 =
- 6 u |
+ 6 u |
| After |
1x2 =
2 u |
|
Comparing Box D and
Box E in the end |
2x1 =
2 u |
9x1 =
9 u |
The number of cards in Box D in the end is repeated. Make the number of cards in Box D in the end the same. LCM of 1 and 2 is 2.
At first
Box E : Box D
3: 8
Answer(s): 3: 8
