There were some beads in Box L and Box M. After Charlie transferred
35 of the beads from Box L to Box M, the ratio of the number of beads in Box L to that in Box M changed to 1 : 5. Find the ratio of the numbers of beads in Box L to the number of beads in Box M at first.
|
Box L |
Box M |
Before |
5x1 = 5 u |
7 u |
Change |
- 3x1 = - 3 u |
+ 3 u |
After |
2x1 = 2 u |
|
Comparing Box L and Box M in the end |
1x2 = 2 u |
5x2 = 10 u |
The number of beads in Box L in the end is repeated. Make the number of beads in Box L in the end the same. LCM of 2 and 1 is 2.
At first
Box L : Box M
5 : 7
Answer(s): 5 : 7