There were some marbles in Box R and Box S. After Paul transferred
14 of the marbles from Box R to Box S, the ratio of the number of marbles in Box R to that in Box S changed to 2 : 9. Find the ratio of the numbers of marbles in Box S to the number of marbles in Box R at first.
|
Box R |
Box S |
Before |
4x2 = 8 u |
25 u |
Change |
- 1x2 = - 2 u |
+ 2 u |
After |
3x2 = 6 u |
|
Comparing Box R and Box S in the end |
2x3 = 6 u |
9x3 = 27 u |
The number of marbles in Box R in the end is repeated. Make the number of marbles in Box R in the end the same. LCM of 3 and 2 is 6.
At first
Box S : Box R
25: 8
Answer(s): 25: 8