The ratio of the number of chickens in Farm M to the number of chickens in Farm N was 4 : 9. There were 70 more chickens in Farm N than in Farm M. When 9 chickens escaped from Farm N, the farmer in Farm N bought another 13 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 |
4 u |
9 u |
Change 1 |
|
- 9 |
Change 2 |
|
+ 13 |
After |
4 u |
9 u + 4 |
Number of more chickens in Farm N than Farm M
= 9 u - 4 u
= 5 u
5 u = 70
1 u = 70 ÷ 5 = 14
Number of chickens in Farm M
= 4 u
= 14 x 4
= 56
Number of chickens in Farm N
= 9 u
= 14 x 9
= 126
New number of chickens in Farm N
= 9 u + 4
= 126 + 4
= 130
Farm M : Farm N
56 : 130
(÷ 2)28 : 65
Answer(s): 28 : 65