There were some beads in Box K and Box L. After Jack transferred
23 of the beads from Box K to Box L, the ratio of the number of beads in Box K to that in Box L changed to 3 : 7. Find the ratio of the numbers of beads in Box K to the number of beads in Box L at first.
|
Box K |
Box L |
Before |
3x3 = 9 u |
1 u |
Change |
- 2x3 = - 6 u |
+ 6 u |
After |
1x3 = 3 u |
|
Comparing Box K and Box L in the end |
3x1 = 3 u |
7x1 = 7 u |
The number of beads in Box K in the end is repeated. Make the number of beads in Box K in the end the same. LCM of 1 and 3 is 3.
At first
Box K : Box L
9 : 1
Answer(s): 9 : 1