There were some pencils in Box B and Box C. After Simon transferred
13 of the pencils from Box B to Box C, the ratio of the number of pencils in Box B to that in Box C changed to 3 : 7. Find the ratio of the numbers of pencils in Box C to the number of pencils in Box B at first.
|
Box B |
Box C |
Before |
3x3 = 9 u |
11 u |
Change |
- 1x3 = - 3 u |
+ 3 u |
After |
2x3 = 6 u |
|
Comparing Box B and Box C in the end |
3x2 = 6 u |
7x2 = 14 u |
The number of pencils in Box B in the end is repeated. Make the number of pencils in Box B in the end the same. LCM of 2 and 3 is 6.
At first
Box C : Box B
11: 9
Answer(s): 11: 9