There were some coins in Packet J and Packet K. After Albert transferred
25 of the coins from Packet J to Packet K, the ratio of the number of coins in Packet J to that in Packet K changed to 2 : 5. Find the ratio of the numbers of coins in Packet K to the number of coins in Packet J at first.
|
Packet J |
Packet K |
Before |
5x2 = 10 u |
11 u |
Change |
- 2x2 = - 4 u |
+ 4 u |
After |
3x2 = 6 u |
|
Comparing Packet J and Packet K in the end |
2x3 = 6 u |
5x3 = 15 u |
The number of coins in Packet J in the end is repeated. Make the number of coins in Packet J in the end the same. LCM of 3 and 2 is 6.
At first
Packet K : Packet J
11: 10
Answer(s): 11: 10