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