The ratio of the number of hens in Farm C to the number of hens in Farm D was 3 : 8. There were 40 fewer hens in Farm C than in Farm D. When 12 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 |
|
- 12 |
Change 2 |
|
+ 16 |
After |
3 u |
8 u + 4 |
Number of fewer hens in Farm C than Farm D
= 8 u - 3 u
= 5 u
5 u = 40
1 u = 40 ÷ 5 = 8
Number of hens in Farm C
= 3 u
= 8 x 3
= 24
Number of hens in Farm D
= 8 u
= 8 x 8
= 64
New number of hens in Farm D
= 8 u + 4
= 64 + 4
= 68
Farm C : Farm D
24 : 68
(÷ 4)6 : 17
Answer(s): 6 : 17