There were some coins in Packet Y and Packet Z. After Vincent transferred
15 of the coins from Packet Y to Packet Z, the ratio of the number of coins in Packet Y to that in Packet Z changed to 3 : 5. Find the ratio of the numbers of coins in Packet Z to the number of coins in Packet Y at first.
|
Packet Y |
Packet Z |
Before |
5x3 = 15 u |
17 u |
Change |
- 1x3 = - 3 u |
+ 3 u |
After |
4x3 = 12 u |
|
Comparing Packet Y and Packet Z in the end |
3x4 = 12 u |
5x4 = 20 u |
The number of coins in Packet Y in the end is repeated. Make the number of coins in Packet Y in the end the same. LCM of 4 and 3 is 12.
At first
Packet Z : Packet Y
17: 15
Answer(s): 17: 15