There were some beads in Bag D and Bag E. After Nick transferred
14 of the beads from Bag D to Bag E, the ratio of the number of beads in Bag D to that in Bag E changed to 2 : 5. Find the ratio of the numbers of beads in Bag D to the number of beads in Bag E at first.
|
Bag D |
Bag E |
Before |
4x2 = 8 u |
13 u |
Change |
- 1x2 = - 2 u |
+ 2 u |
After |
3x2 = 6 u |
|
Comparing Bag D and Bag E in the end |
2x3 = 6 u |
5x3 = 15 u |
The number of beads in Bag D in the end is repeated. Make the number of beads in Bag D in the end the same. LCM of 3 and 2 is 6.
At first
Bag D : Bag E
8 : 13
Answer(s): 8 : 13