The ratio of the number of ducks in Farm L to the number of ducks in Farm M was 3 : 5. There were 56 more ducks in Farm M than in Farm L. When 12 ducks escaped from Farm M, the farmer in Farm M bought another 13 ducks. What was the new ratio of the number of ducks in Farm L to the number of ducks in Farm M in the end? Give your answer in the simplest form.
| |
Farm L |
Farm M |
| Before |
3 u |
5 u |
| Change 1 |
|
- 12 |
| Change 2 |
|
+ 13 |
| After |
3 u |
5 u + 1 |
Number of more ducks in Farm M than Farm L
= 5 u - 3 u
= 2 u
2 u = 56
1 u = 56 ÷ 2 = 28
Number of ducks in Farm L
= 3 u
= 28 x 3
= 84
Number of ducks in Farm M
= 5 u
= 28 x 5
= 140
New number of ducks in Farm M
= 5 u + 1
= 140 + 1
= 141
Farm L : Farm M
84 : 141
(÷ 3)28 : 47
Answer(s): 28 : 47
