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