There were some buttons in Packet G and Packet H. After Reggie transferred
25 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 1 : 8. Find the ratio of the numbers of buttons in Packet G to the number of buttons in Packet H at first.
|
Packet G |
Packet H |
Before |
5x1 = 5 u |
22 u |
Change |
- 2x1 = - 2 u |
+ 2 u |
After |
3x1 = 3 u |
|
Comparing Packet G and Packet H in the end |
1x3 = 3 u |
8x3 = 24 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 3 and 1 is 3.
At first
Packet G : Packet H
5 : 22
Answer(s): 5 : 22