There were some coins in Box D and Box E. After Will transferred
15 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 3 : 5. 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 |
5x3 = 15 u |
17 u |
Change |
- 1x3 = - 3 u |
+ 3 u |
After |
4x3 = 12 u |
|
Comparing Box D and Box E in the end |
3x4 = 12 u |
5x4 = 20 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 4 and 3 is 12.
At first
Box E : Box D
17: 15
Answer(s): 17: 15