There were some pencils in Bag V and Bag W. After Nick transferred
25 of the pencils from Bag V to Bag W, the ratio of the number of pencils in Bag V to that in Bag W changed to 2 : 7. Find the ratio of the numbers of pencils in Bag V to the number of pencils in Bag W at first.
|
Bag V |
Bag W |
Before |
5x2 = 10 u |
17 u |
Change |
- 2x2 = - 4 u |
+ 4 u |
After |
3x2 = 6 u |
|
Comparing Bag V and Bag W in the end |
2x3 = 6 u |
7x3 = 21 u |
The number of pencils in Bag V in the end is repeated. Make the number of pencils in Bag V in the end the same. LCM of 3 and 2 is 6.
At first
Bag V : Bag W
10 : 17
Answer(s): 10 : 17