There were some cards in Bag F and Bag G. After Elijah transferred
25 of the cards from Bag F to Bag G, the ratio of the number of cards in Bag F to that in Bag G changed to 1 : 7. Find the ratio of the numbers of cards in Bag F to the number of cards in Bag G at first.
|
Bag F |
Bag G |
Before |
5x1 = 5 u |
19 u |
Change |
- 2x1 = - 2 u |
+ 2 u |
After |
3x1 = 3 u |
|
Comparing Bag F and Bag G in the end |
1x3 = 3 u |
7x3 = 21 u |
The number of cards in Bag F in the end is repeated. Make the number of cards in Bag F in the end the same. LCM of 3 and 1 is 3.
At first
Bag F : Bag G
5 : 19
Answer(s): 5 : 19