There were some marbles in Bag X and Bag Y. After Tom transferred
25 of the marbles from Bag X to Bag Y, the ratio of the number of marbles in Bag X to that in Bag Y changed to 1 : 8. Find the ratio of the numbers of marbles in Bag Y to the number of marbles in Bag X at first.
|
Bag X |
Bag Y |
Before |
5x1 = 5 u |
22 u |
Change |
- 2x1 = - 2 u |
+ 2 u |
After |
3x1 = 3 u |
|
Comparing Bag X and Bag Y in the end |
1x3 = 3 u |
8x3 = 24 u |
The number of marbles in Bag X in the end is repeated. Make the number of marbles in Bag X in the end the same. LCM of 3 and 1 is 3.
At first
Bag Y : Bag X
22: 5
Answer(s): 22: 5