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