There were some buttons in Box M and Box N. After Ian transferred
25 of the buttons from Box M to Box N, the ratio of the number of buttons in Box M to that in Box N changed to 1 : 8. Find the ratio of the numbers of buttons in Box M to the number of buttons in Box N at first.
|
Box M |
Box N |
Before |
5x1 = 5 u |
22 u |
Change |
- 2x1 = - 2 u |
+ 2 u |
After |
3x1 = 3 u |
|
Comparing Box M and Box N in the end |
1x3 = 3 u |
8x3 = 24 u |
The number of buttons in Box M in the end is repeated. Make the number of buttons in Box M in the end the same. LCM of 3 and 1 is 3.
At first
Box M : Box N
5 : 22
Answer(s): 5 : 22