There were some beads in Packet L and Packet M. After Japheth transferred
45 of the beads from Packet L to Packet M, the ratio of the number of beads in Packet L to that in Packet M changed to 2 : 9. Find the ratio of the numbers of beads in Packet M to the number of beads in Packet L at first.
|
Packet L |
Packet M |
Before |
5x2 = 10 u |
1 u |
Change |
- 4x2 = - 8 u |
+ 8 u |
After |
1x2 = 2 u |
|
Comparing Packet L and Packet M in the end |
2x1 = 2 u |
9x1 = 9 u |
The number of beads in Packet L in the end is repeated. Make the number of beads in Packet L in the end the same. LCM of 1 and 2 is 2.
At first
Packet M : Packet L
1: 10
Answer(s): 1: 10