There were some beads in Box A and Box B. After Perry transferred
15 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 3 : 8. 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 |
5x3 = 15 u |
29 u |
Change |
- 1x3 = - 3 u |
+ 3 u |
After |
4x3 = 12 u |
|
Comparing Box A and Box B in the end |
3x4 = 12 u |
8x4 = 32 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 4 and 3 is 12.
At first
Box A : Box B
15 : 29
Answer(s): 15 : 29