The ratio of the number of chickens in Farm M to the number of chickens in Farm N was 7 : 9. There were 44 more chickens in Farm N than in Farm M. When 5 chickens escaped from Farm N, the farmer in Farm N bought another 17 chickens. What was the new ratio of the number of chickens in Farm M to the number of chickens in Farm N in the end? Give your answer in the simplest form.
|
Farm M |
Farm N |
Before |
7 u |
9 u |
Change 1 |
|
- 5 |
Change 2 |
|
+ 17 |
After |
7 u |
9 u + 12 |
Number of more chickens in Farm N than Farm M
= 9 u - 7 u
= 2 u
2 u = 44
1 u = 44 ÷ 2 = 22
Number of chickens in Farm M
= 7 u
= 22 x 7
= 154
Number of chickens in Farm N
= 9 u
= 22 x 9
= 198
New number of chickens in Farm N
= 9 u + 12
= 198 + 12
= 210
Farm M : Farm N
154 : 210
(÷ 14)11 : 15
Answer(s): 11 : 15