There were some beads in Packet J and Packet K. After Peter transferred
25 of the beads from Packet J to Packet K, the ratio of the number of beads in Packet J to that in Packet K changed to 2 : 9. Find the ratio of the numbers of beads in Packet J to the number of beads in Packet K at first.
|
Packet J |
Packet K |
Before |
5x2 = 10 u |
23 u |
Change |
- 2x2 = - 4 u |
+ 4 u |
After |
3x2 = 6 u |
|
Comparing Packet J and Packet K in the end |
2x3 = 6 u |
9x3 = 27 u |
The number of beads in Packet J in the end is repeated. Make the number of beads in Packet J in the end the same. LCM of 3 and 2 is 6.
At first
Packet J : Packet K
10 : 23
Answer(s): 10 : 23