There were some buttons in Box A and Box B. After Ivan transferred
13 of the buttons from Box A to Box B, the ratio of the number of buttons in Box A to that in Box B changed to 3 : 8. Find the ratio of the numbers of buttons in Box B to the number of buttons in Box A at first.
|
Box A |
Box B |
Before |
3x3 = 9 u |
13 u |
Change |
- 1x3 = - 3 u |
+ 3 u |
After |
2x3 = 6 u |
|
Comparing Box A and Box B in the end |
3x2 = 6 u |
8x2 = 16 u |
The number of buttons in Box A in the end is repeated. Make the number of buttons in Box A in the end the same. LCM of 2 and 3 is 6.
At first
Box B : Box A
13: 9
Answer(s): 13: 9