The ratio of the number of hens in Farm G to the number of hens in Farm H was 5 : 7. There were 56 fewer hens in Farm G than in Farm H. When 12 hens escaped from Farm H, the farmer in Farm H bought another 20 hens. What was the new ratio of the number of hens in Farm G to the number of hens in Farm H in the end? Give your answer in the simplest form.
| |
Farm G |
Farm H |
| Before |
5 u |
7 u |
| Change 1 |
|
- 12 |
| Change 2 |
|
+ 20 |
| After |
5 u |
7 u + 8 |
Number of fewer hens in Farm G than Farm H
= 7 u - 5 u
= 2 u
2 u = 56
1 u = 56 ÷ 2 = 28
Number of hens in Farm G
= 5 u
= 28 x 5
= 140
Number of hens in Farm H
= 7 u
= 28 x 7
= 196
New number of hens in Farm H
= 7 u + 8
= 196 + 8
= 204
Farm G : Farm H
140 : 204
(÷ 4)35 : 51
Answer(s): 35 : 51
