There were some stickers in Box Y and Box Z. After Billy transferred
14 of the stickers from Box Y to Box Z, the ratio of the number of stickers in Box Y to that in Box Z changed to 2 : 3. Find the ratio of the numbers of stickers in Box Y to the number of stickers in Box Z at first.
|
Box Y |
Box Z |
Before |
4x2 = 8 u |
7 u |
Change |
- 1x2 = - 2 u |
+ 2 u |
After |
3x2 = 6 u |
|
Comparing Box Y and Box Z in the end |
2x3 = 6 u |
3x3 = 9 u |
The number of stickers in Box Y in the end is repeated. Make the number of stickers in Box Y in the end the same. LCM of 3 and 2 is 6.
At first
Box Y : Box Z
8 : 7
Answer(s): 8 : 7