The ratio of the number of hens in Farm M to the number of hens in Farm N was 5 : 9. There were 60 more hens in Farm N than in Farm M. When 10 hens escaped from Farm N, the farmer in Farm N bought another 19 hens. What was the new ratio of the number of hens in Farm M to the number of hens in Farm N in the end? Give your answer in the simplest form.
|
Farm M |
Farm N |
Before |
5 u |
9 u |
Change 1 |
|
- 10 |
Change 2 |
|
+ 19 |
After |
5 u |
9 u + 9 |
Number of more hens in Farm N than Farm M
= 9 u - 5 u
= 4 u
4 u = 60
1 u = 60 ÷ 4 = 15
Number of hens in Farm M
= 5 u
= 15 x 5
= 75
Number of hens in Farm N
= 9 u
= 15 x 9
= 135
New number of hens in Farm N
= 9 u + 9
= 135 + 9
= 144
Farm M : Farm N
75 : 144
(÷ 3)25 : 48
Answer(s): 25 : 48