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