There were some buttons in Packet U and Packet V. After Gabriel transferred
14 of the buttons from Packet U to Packet V, the ratio of the number of buttons in Packet U to that in Packet V changed to 2 : 3. Find the ratio of the numbers of buttons in Packet U to the number of buttons in Packet V at first.
|
Packet U |
Packet V |
Before |
4x2 = 8 u |
7 u |
Change |
- 1x2 = - 2 u |
+ 2 u |
After |
3x2 = 6 u |
|
Comparing Packet U and Packet V in the end |
2x3 = 6 u |
3x3 = 9 u |
The number of buttons in Packet U in the end is repeated. Make the number of buttons in Packet U in the end the same. LCM of 3 and 2 is 6.
At first
Packet U : Packet V
8 : 7
Answer(s): 8 : 7