There were some erasers in Bag Y and Bag Z. After Carl transferred
25 of the erasers from Bag Y to Bag Z, the ratio of the number of erasers in Bag Y to that in Bag Z changed to 1 : 8. Find the ratio of the numbers of erasers in Bag Y to the number of erasers in Bag Z at first.
|
Bag Y |
Bag Z |
Before |
5x1 = 5 u |
22 u |
Change |
- 2x1 = - 2 u |
+ 2 u |
After |
3x1 = 3 u |
|
Comparing Bag Y and Bag Z in the end |
1x3 = 3 u |
8x3 = 24 u |
The number of erasers in Bag Y in the end is repeated. Make the number of erasers in Bag Y in the end the same. LCM of 3 and 1 is 3.
At first
Bag Y : Bag Z
5 : 22
Answer(s): 5 : 22