There were some erasers in Bag T and Bag U. After Jack transferred
14 of the erasers from Bag T to Bag U, the ratio of the number of erasers in Bag T to that in Bag U changed to 2 : 9. Find the ratio of the numbers of erasers in Bag T to the number of erasers in Bag U at first.
|
Bag T |
Bag U |
Before |
4x2 = 8 u |
25 u |
Change |
- 1x2 = - 2 u |
+ 2 u |
After |
3x2 = 6 u |
|
Comparing Bag T and Bag U in the end |
2x3 = 6 u |
9x3 = 27 u |
The number of erasers in Bag T in the end is repeated. Make the number of erasers in Bag T in the end the same. LCM of 3 and 2 is 6.
At first
Bag T : Bag U
8 : 25
Answer(s): 8 : 25