There were some erasers in Bag C and Bag D. After Henry transferred
25 of the erasers from Bag C to Bag D, the ratio of the number of erasers in Bag C to that in Bag D changed to 2 : 5. Find the ratio of the numbers of erasers in Bag C to the number of erasers in Bag D at first.
|
Bag C |
Bag D |
Before |
5x2 = 10 u |
11 u |
Change |
- 2x2 = - 4 u |
+ 4 u |
After |
3x2 = 6 u |
|
Comparing Bag C and Bag D in the end |
2x3 = 6 u |
5x3 = 15 u |
The number of erasers in Bag C in the end is repeated. Make the number of erasers in Bag C in the end the same. LCM of 3 and 2 is 6.
At first
Bag C : Bag D
10 : 11
Answer(s): 10 : 11