There were some marbles in Bag S and Bag T. After Tommy transferred
13 of the marbles from Bag S to Bag T, the ratio of the number of marbles in Bag S to that in Bag T changed to 3 : 8. Find the ratio of the numbers of marbles in Bag S to the number of marbles in Bag T at first.
|
Bag S |
Bag T |
Before |
3x3 = 9 u |
13 u |
Change |
- 1x3 = - 3 u |
+ 3 u |
After |
2x3 = 6 u |
|
Comparing Bag S and Bag T in the end |
3x2 = 6 u |
8x2 = 16 u |
The number of marbles in Bag S in the end is repeated. Make the number of marbles in Bag S in the end the same. LCM of 2 and 3 is 6.
At first
Bag S : Bag T
9 : 13
Answer(s): 9 : 13