There were some buttons in Bag Y and Bag Z. After Cole transferred
13 of the buttons from Bag Y to Bag Z, the ratio of the number of buttons in Bag Y to that in Bag Z changed to 1 : 7. Find the ratio of the numbers of buttons in Bag Z to the number of buttons in Bag Y at first.
|
Bag Y |
Bag Z |
Before |
3x1 = 3 u |
13 u |
Change |
- 1x1 = - 1 u |
+ 1 u |
After |
2x1 = 2 u |
|
Comparing Bag Y and Bag Z in the end |
1x2 = 2 u |
7x2 = 14 u |
The number of buttons in Bag Y in the end is repeated. Make the number of buttons in Bag Y in the end the same. LCM of 2 and 1 is 2.
At first
Bag Z : Bag Y
13: 3
Answer(s): 13: 3