There were some coins in Packet Q and Packet R. After Michael transferred
23 of the coins from Packet Q to Packet R, the ratio of the number of coins in Packet Q to that in Packet R changed to 2 : 9. Find the ratio of the numbers of coins in Packet Q to the number of coins in Packet R at first.
|
Packet Q |
Packet R |
Before |
3x2 = 6 u |
5 u |
Change |
- 2x2 = - 4 u |
+ 4 u |
After |
1x2 = 2 u |
|
Comparing Packet Q and Packet R in the end |
2x1 = 2 u |
9x1 = 9 u |
The number of coins in Packet Q in the end is repeated. Make the number of coins in Packet Q in the end the same. LCM of 1 and 2 is 2.
At first
Packet Q : Packet R
6 : 5
Answer(s): 6 : 5