There were some beads in Box D and Box E. After Rael transferred
14 of the beads from Box D to Box E, the ratio of the number of beads in Box D to that in Box E changed to 2 : 9. Find the ratio of the numbers of beads in Box E to the number of beads in Box D at first.
|
Box D |
Box E |
Before |
4x2 = 8 u |
25 u |
Change |
- 1x2 = - 2 u |
+ 2 u |
After |
3x2 = 6 u |
|
Comparing Box D and Box E in the end |
2x3 = 6 u |
9x3 = 27 u |
The number of beads in Box D in the end is repeated. Make the number of beads in Box D in the end the same. LCM of 3 and 2 is 6.
At first
Box E : Box D
25: 8
Answer(s): 25: 8