There were some cards in Bag E and Bag F. After Billy transferred
13 of the cards from Bag E to Bag F, the ratio of the number of cards in Bag E to that in Bag F changed to 1 : 9. Find the ratio of the numbers of cards in Bag E to the number of cards in Bag F at first.
|
Bag E |
Bag F |
Before |
3x1 = 3 u |
17 u |
Change |
- 1x1 = - 1 u |
+ 1 u |
After |
2x1 = 2 u |
|
Comparing Bag E and Bag F in the end |
1x2 = 2 u |
9x2 = 18 u |
The number of cards in Bag E in the end is repeated. Make the number of cards in Bag E in the end the same. LCM of 2 and 1 is 2.
At first
Bag E : Bag F
3 : 17
Answer(s): 3 : 17