There were some buttons in Box N and Box P. After Will transferred
15 of the buttons from Box N to Box P, the ratio of the number of buttons in Box N to that in Box P changed to 2 : 7. Find the ratio of the numbers of buttons in Box P to the number of buttons in Box N at first.
|
Box N |
Box P |
Before |
5x1 = 5 u |
13 u |
Change |
- 1x1 = - 1 u |
+ 1 u |
After |
4x1 = 4 u |
|
Comparing Box N and Box P in the end |
2x2 = 4 u |
7x2 = 14 u |
The number of buttons in Box N in the end is repeated. Make the number of buttons in Box N in the end the same. LCM of 4 and 2 is 4.
At first
Box P : Box N
13: 5
Answer(s): 13: 5