There were some pens in Box A and Box B. After Nick transferred
13 of the pens from Box A to Box B, the ratio of the number of pens in Box A to that in Box B changed to 3 : 4. Find the ratio of the numbers of pens in Box A to the number of pens in Box B at first.
|
Box A |
Box B |
Before |
3x3 = 9 u |
5 u |
Change |
- 1x3 = - 3 u |
+ 3 u |
After |
2x3 = 6 u |
|
Comparing Box A and Box B in the end |
3x2 = 6 u |
4x2 = 8 u |
The number of pens in Box A in the end is repeated. Make the number of pens in Box A in the end the same. LCM of 2 and 3 is 6.
At first
Box A : Box B
9 : 5
Answer(s): 9 : 5