There were some cards in Bag Q and Bag R. After Daniel transferred
35 of the cards from Bag Q to Bag R, the ratio of the number of cards in Bag Q to that in Bag R changed to 3 : 5. Find the ratio of the numbers of cards in Bag R to the number of cards in Bag Q at first.
|
Bag Q |
Bag R |
Before |
5x3 = 15 u |
1 u |
Change |
- 3x3 = - 9 u |
+ 9 u |
After |
2x3 = 6 u |
|
Comparing Bag Q and Bag R in the end |
3x2 = 6 u |
5x2 = 10 u |
The number of cards in Bag Q in the end is repeated. Make the number of cards in Bag Q in the end the same. LCM of 2 and 3 is 6.
At first
Bag R : Bag Q
1: 15
Answer(s): 1: 15