There were some marbles in Packet R and Packet S. After Carl transferred
15 of the marbles from Packet R to Packet S, the ratio of the number of marbles in Packet R to that in Packet S changed to 3 : 5. Find the ratio of the numbers of marbles in Packet R to the number of marbles in Packet S at first.
|
Packet R |
Packet S |
Before |
5x3 = 15 u |
17 u |
Change |
- 1x3 = - 3 u |
+ 3 u |
After |
4x3 = 12 u |
|
Comparing Packet R and Packet S in the end |
3x4 = 12 u |
5x4 = 20 u |
The number of marbles in Packet R in the end is repeated. Make the number of marbles in Packet R in the end the same. LCM of 4 and 3 is 12.
At first
Packet R : Packet S
15 : 17
Answer(s): 15 : 17