There were some marbles in Bag J and Bag K. After Albert transferred
25 of the marbles from Bag J to Bag K, the ratio of the number of marbles in Bag J to that in Bag K changed to 2 : 9. Find the ratio of the numbers of marbles in Bag J to the number of marbles in Bag K at first.
|
Bag J |
Bag K |
Before |
5x2 = 10 u |
23 u |
Change |
- 2x2 = - 4 u |
+ 4 u |
After |
3x2 = 6 u |
|
Comparing Bag J and Bag K in the end |
2x3 = 6 u |
9x3 = 27 u |
The number of marbles in Bag J in the end is repeated. Make the number of marbles in Bag J in the end the same. LCM of 3 and 2 is 6.
At first
Bag J : Bag K
10 : 23
Answer(s): 10 : 23