The ratio of the number of hens in Farm C to the number of hens in Farm D was 3 : 8. There were 50 fewer hens in Farm C than in Farm D. When 9 hens escaped from Farm D, the farmer in Farm D bought another 16 hens. What was the new ratio of the number of hens in Farm C to the number of hens in Farm D in the end? Give your answer in the simplest form.
| |
Farm C |
Farm D |
| Before |
3 u |
8 u |
| Change 1 |
|
- 9 |
| Change 2 |
|
+ 16 |
| After |
3 u |
8 u + 7 |
Number of fewer hens in Farm C than Farm D
= 8 u - 3 u
= 5 u
5 u = 50
1 u = 50 ÷ 5 = 10
Number of hens in Farm C
= 3 u
= 10 x 3
= 30
Number of hens in Farm D
= 8 u
= 10 x 8
= 80
New number of hens in Farm D
= 8 u + 7
= 80 + 7
= 87
Farm C : Farm D
30 : 87
(÷ 3)10 : 29
Answer(s): 10 : 29
