The ratio of the number of hens in Farm E to the number of hens in Farm F was 3 : 5. There were 62 more hens in Farm F than in Farm E. When 12 hens escaped from Farm F, the farmer in Farm F bought another 19 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 |
5 u |
| Change 1 |
|
- 12 |
| Change 2 |
|
+ 19 |
| After |
3 u |
5 u + 7 |
Number of more hens in Farm F than Farm E
= 5 u - 3 u
= 2 u
2 u = 62
1 u = 62 ÷ 2 = 31
Number of hens in Farm E
= 3 u
= 31 x 3
= 93
Number of hens in Farm F
= 5 u
= 31 x 5
= 155
New number of hens in Farm F
= 5 u + 7
= 155 + 7
= 162
Farm E : Farm F
93 : 162
(÷ 3)31 : 54
Answer(s): 31 : 54
