There were some beads in Box A and Box B. After Julian transferred
13 of the beads from Box A to Box B, the ratio of the number of beads in Box A to that in Box B changed to 1 : 7. Find the ratio of the numbers of beads in Box A to the number of beads in Box B at first.
|
Box A |
Box B |
Before |
3x1 = 3 u |
13 u |
Change |
- 1x1 = - 1 u |
+ 1 u |
After |
2x1 = 2 u |
|
Comparing Box A and Box B in the end |
1x2 = 2 u |
7x2 = 14 u |
The number of beads in Box A in the end is repeated. Make the number of beads in Box A in the end the same. LCM of 2 and 1 is 2.
At first
Box A : Box B
3 : 13
Answer(s): 3 : 13