There were some erasers in Box U and Box V. After Cody transferred
14 of the erasers from Box U to Box V, the ratio of the number of erasers in Box U to that in Box V changed to 2 : 5. Find the ratio of the numbers of erasers in Box U to the number of erasers in Box V at first.
|
Box U |
Box V |
Before |
4x2 = 8 u |
13 u |
Change |
- 1x2 = - 2 u |
+ 2 u |
After |
3x2 = 6 u |
|
Comparing Box U and Box V in the end |
2x3 = 6 u |
5x3 = 15 u |
The number of erasers in Box U in the end is repeated. Make the number of erasers in Box U in the end the same. LCM of 3 and 2 is 6.
At first
Box U : Box V
8 : 13
Answer(s): 8 : 13