There were some erasers in Packet Y and Packet Z. After Cole transferred
25 of the erasers from Packet Y to Packet Z, the ratio of the number of erasers in Packet Y to that in Packet Z changed to 1 : 7. Find the ratio of the numbers of erasers in Packet Y to the number of erasers in Packet Z at first.
|
Packet Y |
Packet Z |
Before |
5x1 = 5 u |
19 u |
Change |
- 2x1 = - 2 u |
+ 2 u |
After |
3x1 = 3 u |
|
Comparing Packet Y and Packet Z in the end |
1x3 = 3 u |
7x3 = 21 u |
The number of erasers in Packet Y in the end is repeated. Make the number of erasers in Packet Y in the end the same. LCM of 3 and 1 is 3.
At first
Packet Y : Packet Z
5 : 19
Answer(s): 5 : 19