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