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