There were some buttons in Bag Q and Bag R. After Caden transferred
13 of the buttons from Bag Q to Bag R, the ratio of the number of buttons in Bag Q to that in Bag R changed to 3 : 7. Find the ratio of the numbers of buttons in Bag R to the number of buttons in Bag Q at first.
|
Bag Q |
Bag R |
Before |
3x3 = 9 u |
11 u |
Change |
- 1x3 = - 3 u |
+ 3 u |
After |
2x3 = 6 u |
|
Comparing Bag Q and Bag R in the end |
3x2 = 6 u |
7x2 = 14 u |
The number of buttons in Bag Q in the end is repeated. Make the number of buttons in Bag Q in the end the same. LCM of 2 and 3 is 6.
At first
Bag R : Bag Q
11: 9
Answer(s): 11: 9