There were some marbles in Box S and Box T. After Sam transferred
14 of the marbles from Box S to Box T, the ratio of the number of marbles in Box S to that in Box T changed to 1 : 8. Find the ratio of the numbers of marbles in Box T to the number of marbles in Box S at first.
|
Box S |
Box T |
Before |
4x1 = 4 u |
23 u |
Change |
- 1x1 = - 1 u |
+ 1 u |
After |
3x1 = 3 u |
|
Comparing Box S and Box T in the end |
1x3 = 3 u |
8x3 = 24 u |
The number of marbles in Box S in the end is repeated. Make the number of marbles in Box S in the end the same. LCM of 3 and 1 is 3.
At first
Box T : Box S
23: 4
Answer(s): 23: 4