There were some pencils in Bag F and Bag G. After Tom transferred
35 of the pencils from Bag F to Bag G, the ratio of the number of pencils in Bag F to that in Bag G changed to 3 : 5. Find the ratio of the numbers of pencils in Bag F to the number of pencils in Bag G at first.
|
Bag F |
Bag G |
Before |
5x3 = 15 u |
1 u |
Change |
- 3x3 = - 9 u |
+ 9 u |
After |
2x3 = 6 u |
|
Comparing Bag F and Bag G in the end |
3x2 = 6 u |
5x2 = 10 u |
The number of pencils in Bag F in the end is repeated. Make the number of pencils in Bag F in the end the same. LCM of 2 and 3 is 6.
At first
Bag F : Bag G
15 : 1
Answer(s): 15 : 1