There were some buttons in Box J and Box K. After Daniel transferred
34 of the buttons from Box J to Box K, the ratio of the number of buttons in Box J to that in Box K changed to 2 : 7. Find the ratio of the numbers of buttons in Box J to the number of buttons in Box K at first.
|
Box J |
Box K |
Before |
4x2 = 8 u |
1 u |
Change |
- 3x2 = - 6 u |
+ 6 u |
After |
1x2 = 2 u |
|
Comparing Box J and Box K in the end |
2x1 = 2 u |
7x1 = 7 u |
The number of buttons in Box J in the end is repeated. Make the number of buttons in Box J in the end the same. LCM of 1 and 2 is 2.
At first
Box J : Box K
8 : 1
Answer(s): 8 : 1