There were some marbles in Bag V and Bag W. After Pierre transferred
25 of the marbles from Bag V to Bag W, the ratio of the number of marbles in Bag V to that in Bag W changed to 2 : 5. Find the ratio of the numbers of marbles in Bag V to the number of marbles in Bag W at first.
|
Bag V |
Bag W |
Before |
5x2 = 10 u |
11 u |
Change |
- 2x2 = - 4 u |
+ 4 u |
After |
3x2 = 6 u |
|
Comparing Bag V and Bag W in the end |
2x3 = 6 u |
5x3 = 15 u |
The number of marbles in Bag V in the end is repeated. Make the number of marbles in Bag V in the end the same. LCM of 3 and 2 is 6.
At first
Bag V : Bag W
10 : 11
Answer(s): 10 : 11