There were some pens in Bag P and Bag Q. After Charlie transferred
13 of the pens from Bag P to Bag Q, the ratio of the number of pens in Bag P to that in Bag Q changed to 1 : 9. Find the ratio of the numbers of pens in Bag P to the number of pens in Bag Q at first.
|
Bag P |
Bag Q |
Before |
3x1 = 3 u |
17 u |
Change |
- 1x1 = - 1 u |
+ 1 u |
After |
2x1 = 2 u |
|
Comparing Bag P and Bag Q in the end |
1x2 = 2 u |
9x2 = 18 u |
The number of pens in Bag P in the end is repeated. Make the number of pens in Bag P in the end the same. LCM of 2 and 1 is 2.
At first
Bag P : Bag Q
3 : 17
Answer(s): 3 : 17