There were some cards in Packet Y and Packet Z. After Peter transferred
14 of the cards from Packet Y to Packet Z, the ratio of the number of cards in Packet Y to that in Packet Z changed to 2 : 5. Find the ratio of the numbers of cards in Packet Y to the number of cards in Packet Z at first.
|
Packet Y |
Packet Z |
Before |
4x2 = 8 u |
13 u |
Change |
- 1x2 = - 2 u |
+ 2 u |
After |
3x2 = 6 u |
|
Comparing Packet Y and Packet Z in the end |
2x3 = 6 u |
5x3 = 15 u |
The number of cards in Packet Y in the end is repeated. Make the number of cards in Packet Y in the end the same. LCM of 3 and 2 is 6.
At first
Packet Y : Packet Z
8 : 13
Answer(s): 8 : 13