There were some beads in Bag Y and Bag Z. After Caden transferred
23 of the beads from Bag Y to Bag Z, the ratio of the number of beads in Bag Y to that in Bag Z changed to 2 : 9. Find the ratio of the numbers of beads in Bag Y to the number of beads in Bag Z at first.
|
Bag Y |
Bag Z |
Before |
3x2 = 6 u |
5 u |
Change |
- 2x2 = - 4 u |
+ 4 u |
After |
1x2 = 2 u |
|
Comparing Bag Y and Bag Z in the end |
2x1 = 2 u |
9x1 = 9 u |
The number of beads in Bag Y in the end is repeated. Make the number of beads in Bag Y in the end the same. LCM of 1 and 2 is 2.
At first
Bag Y : Bag Z
6 : 5
Answer(s): 6 : 5