There were some erasers in Bag P and Bag Q. After Harry transferred
13 of the erasers from Bag P to Bag Q, the ratio of the number of erasers in Bag P to that in Bag Q changed to 3 : 5. Find the ratio of the numbers of erasers in Bag Q to the number of erasers in Bag P at first.
|
Bag P |
Bag Q |
Before |
3x3 = 9 u |
7 u |
Change |
- 1x3 = - 3 u |
+ 3 u |
After |
2x3 = 6 u |
|
Comparing Bag P and Bag Q in the end |
3x2 = 6 u |
5x2 = 10 u |
The number of erasers in Bag P in the end is repeated. Make the number of erasers in Bag P in the end the same. LCM of 2 and 3 is 6.
At first
Bag Q : Bag P
7: 9
Answer(s): 7: 9