There were some erasers in Bag H and Bag J. After Jack transferred
34 of the erasers from Bag H to Bag J, the ratio of the number of erasers in Bag H to that in Bag J changed to 2 : 9. Find the ratio of the numbers of erasers in Bag H to the number of erasers in Bag J at first.
|
Bag H |
Bag J |
Before |
4x2 = 8 u |
3 u |
Change |
- 3x2 = - 6 u |
+ 6 u |
After |
1x2 = 2 u |
|
Comparing Bag H and Bag J in the end |
2x1 = 2 u |
9x1 = 9 u |
The number of erasers in Bag H in the end is repeated. Make the number of erasers in Bag H in the end the same. LCM of 1 and 2 is 2.
At first
Bag H : Bag J
8 : 3
Answer(s): 8 : 3