There were some coins in Packet P and Packet Q. After Ben transferred
13 of the coins from Packet P to Packet Q, the ratio of the number of coins in Packet P to that in Packet Q changed to 1 : 7. Find the ratio of the numbers of coins in Packet P to the number of coins in Packet Q at first.
|
Packet P |
Packet Q |
Before |
3x1 = 3 u |
13 u |
Change |
- 1x1 = - 1 u |
+ 1 u |
After |
2x1 = 2 u |
|
Comparing Packet P and Packet Q in the end |
1x2 = 2 u |
7x2 = 14 u |
The number of coins in Packet P in the end is repeated. Make the number of coins in Packet P in the end the same. LCM of 2 and 1 is 2.
At first
Packet P : Packet Q
3 : 13
Answer(s): 3 : 13