The ratio of the number of ducks in Farm M to the number of ducks in Farm N was 7 : 9. There were 56 fewer ducks in Farm M than in Farm N. When 12 ducks escaped from Farm N, the farmer in Farm N bought another 18 ducks. What was the new ratio of the number of ducks in Farm M to the number of ducks in Farm N in the end? Give your answer in the simplest form.
|
Farm M |
Farm N |
Before |
7 u |
9 u |
Change 1 |
|
- 12 |
Change 2 |
|
+ 18 |
After |
7 u |
9 u + 6 |
Number of fewer ducks in Farm M than Farm N
= 9 u - 7 u
= 2 u
2 u = 56
1 u = 56 ÷ 2 = 28
Number of ducks in Farm M
= 7 u
= 28 x 7
= 196
Number of ducks in Farm N
= 9 u
= 28 x 9
= 252
New number of ducks in Farm N
= 9 u + 6
= 252 + 6
= 258
Farm M : Farm N
196 : 258
(÷ 2)98 : 129
Answer(s): 98 : 129