The ratio of the number of hens in Farm E to the number of hens in Farm F was 3 : 8. There were 60 more hens in Farm F than in Farm E. When 10 hens escaped from Farm F, the farmer in Farm F bought another 14 hens. What was the new ratio of the number of hens in Farm E to the number of hens in Farm F in the end? Give your answer in the simplest form.
| |
Farm E |
Farm F |
| Before |
3 u |
8 u |
| Change 1 |
|
- 10 |
| Change 2 |
|
+ 14 |
| After |
3 u |
8 u + 4 |
Number of more hens in Farm F than Farm E
= 8 u - 3 u
= 5 u
5 u = 60
1 u = 60 ÷ 5 = 12
Number of hens in Farm E
= 3 u
= 12 x 3
= 36
Number of hens in Farm F
= 8 u
= 12 x 8
= 96
New number of hens in Farm F
= 8 u + 4
= 96 + 4
= 100
Farm E : Farm F
36 : 100
(÷ 4)9 : 25
Answer(s): 9 : 25
