There were some erasers in Bag P and Bag Q. After Dylan transferred
15 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 1 : 8. 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 |
5x1 = 5 u |
31 u |
Change |
- 1x1 = - 1 u |
+ 1 u |
After |
4x1 = 4 u |
|
Comparing Bag P and Bag Q in the end |
1x4 = 4 u |
8x4 = 32 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 4 and 1 is 4.
At first
Bag Q : Bag P
31: 5
Answer(s): 31: 5