There were some beads in Packet P and Packet Q. After Julian transferred
23 of the beads from Packet P to Packet Q, the ratio of the number of beads in Packet P to that in Packet Q changed to 3 : 8. Find the ratio of the numbers of beads in Packet P to the number of beads in Packet Q at first.
|
Packet P |
Packet Q |
Before |
3x3 = 9 u |
2 u |
Change |
- 2x3 = - 6 u |
+ 6 u |
After |
1x3 = 3 u |
|
Comparing Packet P and Packet Q in the end |
3x1 = 3 u |
8x1 = 8 u |
The number of beads in Packet P in the end is repeated. Make the number of beads in Packet P in the end the same. LCM of 1 and 3 is 3.
At first
Packet P : Packet Q
9 : 2
Answer(s): 9 : 2