There were some coins in Box D and Box E. After Vincent transferred
14 of the coins from Box D to Box E, the ratio of the number of coins in Box D to that in Box E changed to 2 : 7. Find the ratio of the numbers of coins in Box E to the number of coins in Box D at first.
|
Box D |
Box E |
Before |
4x2 = 8 u |
19 u |
Change |
- 1x2 = - 2 u |
+ 2 u |
After |
3x2 = 6 u |
|
Comparing Box D and Box E in the end |
2x3 = 6 u |
7x3 = 21 u |
The number of coins in Box D in the end is repeated. Make the number of coins in Box D in the end the same. LCM of 3 and 2 is 6.
At first
Box E : Box D
19: 8
Answer(s): 19: 8