The ratio of the number of ducks in Farm K to the number of ducks in Farm L was 3 : 5. There were 50 more ducks in Farm L than in Farm K. When 6 ducks escaped from Farm L, the farmer in Farm L bought another 19 ducks. What was the new ratio of the number of ducks in Farm K to the number of ducks in Farm L in the end? Give your answer in the simplest form.
|
Farm K |
Farm L |
Before |
3 u |
5 u |
Change 1 |
|
- 6 |
Change 2 |
|
+ 19 |
After |
3 u |
5 u + 13 |
Number of more ducks in Farm L than Farm K
= 5 u - 3 u
= 2 u
2 u = 50
1 u = 50 ÷ 2 = 25
Number of ducks in Farm K
= 3 u
= 25 x 3
= 75
Number of ducks in Farm L
= 5 u
= 25 x 5
= 125
New number of ducks in Farm L
= 5 u + 13
= 125 + 13
= 138
Farm K : Farm L
75 : 138
(÷ 3)25 : 46
Answer(s): 25 : 46