The ratio of the number of hens in Farm C to the number of hens in Farm D was 5 : 9. There were 56 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 |
5 u |
9 u |
Change 1 |
|
- 9 |
Change 2 |
|
+ 16 |
After |
5 u |
9 u + 7 |
Number of fewer hens in Farm C than Farm D
= 9 u - 5 u
= 4 u
4 u = 56
1 u = 56 ÷ 4 = 14
Number of hens in Farm C
= 5 u
= 14 x 5
= 70
Number of hens in Farm D
= 9 u
= 14 x 9
= 126
New number of hens in Farm D
= 9 u + 7
= 126 + 7
= 133
Farm C : Farm D
70 : 133
(÷ 7)10 : 19
Answer(s): 10 : 19