There were some marbles in Box U and Box V. After Zeph transferred
15 of the marbles from Box U to Box V, the ratio of the number of marbles in Box U to that in Box V changed to 3 : 5. Find the ratio of the numbers of marbles in Box U to the number of marbles in Box V at first.
|
Box U |
Box V |
Before |
5x3 = 15 u |
17 u |
Change |
- 1x3 = - 3 u |
+ 3 u |
After |
4x3 = 12 u |
|
Comparing Box U and Box V in the end |
3x4 = 12 u |
5x4 = 20 u |
The number of marbles in Box U in the end is repeated. Make the number of marbles in Box U in the end the same. LCM of 4 and 3 is 12.
At first
Box U : Box V
15 : 17
Answer(s): 15 : 17