There were some buttons in Packet G and Packet H. After Xavier transferred
13 of the buttons from Packet G to Packet H, the ratio of the number of buttons in Packet G to that in Packet H changed to 3 : 7. Find the ratio of the numbers of buttons in Packet H to the number of buttons in Packet G at first.
|
Packet G |
Packet H |
Before |
3x3 = 9 u |
11 u |
Change |
- 1x3 = - 3 u |
+ 3 u |
After |
2x3 = 6 u |
|
Comparing Packet G and Packet H in the end |
3x2 = 6 u |
7x2 = 14 u |
The number of buttons in Packet G in the end is repeated. Make the number of buttons in Packet G in the end the same. LCM of 2 and 3 is 6.
At first
Packet H : Packet G
11: 9
Answer(s): 11: 9