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