There were some buttons in Packet A and Packet B. After Carl transferred
14 of the buttons from Packet A to Packet B, the ratio of the number of buttons in Packet A to that in Packet B changed to 2 : 7. Find the ratio of the numbers of buttons in Packet B to the number of buttons in Packet A at first.
|
Packet A |
Packet B |
Before |
4x2 = 8 u |
19 u |
Change |
- 1x2 = - 2 u |
+ 2 u |
After |
3x2 = 6 u |
|
Comparing Packet A and Packet B in the end |
2x3 = 6 u |
7x3 = 21 u |
The number of buttons in Packet A in the end is repeated. Make the number of buttons in Packet A in the end the same. LCM of 3 and 2 is 6.
At first
Packet B : Packet A
19: 8
Answer(s): 19: 8