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