There were some erasers in Bag J and Bag K. After Liam transferred
15 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 : 7. 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 |
5x1 = 5 u |
27 u |
Change |
- 1x1 = - 1 u |
+ 1 u |
After |
4x1 = 4 u |
|
Comparing Bag J and Bag K in the end |
1x4 = 4 u |
7x4 = 28 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 4 and 1 is 4.
At first
Bag J : Bag K
5 : 27
Answer(s): 5 : 27