There were some erasers in Bag J and Bag K. After Jenson transferred
14 of the erasers from Bag J to Bag K, the ratio of the number of erasers in Bag J to that in Bag K changed to 1 : 4. Find the ratio of the numbers of erasers in Bag J to the number of erasers in Bag K at first.
|
Bag J |
Bag K |
Before |
4x1 = 4 u |
11 u |
Change |
- 1x1 = - 1 u |
+ 1 u |
After |
3x1 = 3 u |
|
Comparing Bag J and Bag K in the end |
1x3 = 3 u |
4x3 = 12 u |
The number of erasers in Bag J in the end is repeated. Make the number of erasers in Bag J in the end the same. LCM of 3 and 1 is 3.
At first
Bag J : Bag K
4 : 11
Answer(s): 4 : 11