There were some marbles in Box D and Box E. After Andy transferred
15 of the marbles from Box D to Box E, the ratio of the number of marbles in Box D to that in Box E changed to 2 : 9. Find the ratio of the numbers of marbles in Box D to the number of marbles in Box E at first.
|
Box D |
Box E |
Before |
5x1 = 5 u |
17 u |
Change |
- 1x1 = - 1 u |
+ 1 u |
After |
4x1 = 4 u |
|
Comparing Box D and Box E in the end |
2x2 = 4 u |
9x2 = 18 u |
The number of marbles in Box D in the end is repeated. Make the number of marbles in Box D in the end the same. LCM of 4 and 2 is 4.
At first
Box D : Box E
5 : 17
Answer(s): 5 : 17