There were some pens in Box D and Box E. After Asher transferred
13 of the pens from Box D to Box E, the ratio of the number of pens in Box D to that in Box E changed to 3 : 8. Find the ratio of the numbers of pens in Box D to the number of pens in Box E at first.
|
Box D |
Box E |
Before |
3x3 = 9 u |
13 u |
Change |
- 1x3 = - 3 u |
+ 3 u |
After |
2x3 = 6 u |
|
Comparing Box D and Box E in the end |
3x2 = 6 u |
8x2 = 16 u |
The number of pens in Box D in the end is repeated. Make the number of pens in Box D in the end the same. LCM of 2 and 3 is 6.
At first
Box D : Box E
9 : 13
Answer(s): 9 : 13