There were some pencils in Box G and Box H. After Justin transferred
13 of the pencils from Box G to Box H, the ratio of the number of pencils in Box G to that in Box H changed to 1 : 9. Find the ratio of the numbers of pencils in Box G to the number of pencils in Box H at first.
|
Box G |
Box H |
Before |
3x1 = 3 u |
17 u |
Change |
- 1x1 = - 1 u |
+ 1 u |
After |
2x1 = 2 u |
|
Comparing Box G and Box H in the end |
1x2 = 2 u |
9x2 = 18 u |
The number of pencils in Box G in the end is repeated. Make the number of pencils in Box G in the end the same. LCM of 2 and 1 is 2.
At first
Box G : Box H
3 : 17
Answer(s): 3 : 17