The ratio of the number of chickens in Farm F to the number of chickens in Farm G was 3 : 7. There were 64 fewer chickens in Farm F than in Farm G. When 9 chickens escaped from Farm G, the farmer in Farm G bought another 14 chickens. What was the new ratio of the number of chickens in Farm F to the number of chickens in Farm G in the end? Give your answer in the simplest form.
|
Farm F |
Farm G |
Before |
3 u |
7 u |
Change 1 |
|
- 9 |
Change 2 |
|
+ 14 |
After |
3 u |
7 u + 5 |
Number of fewer chickens in Farm F than Farm G
= 7 u - 3 u
= 4 u
4 u = 64
1 u = 64 ÷ 4 = 16
Number of chickens in Farm F
= 3 u
= 16 x 3
= 48
Number of chickens in Farm G
= 7 u
= 16 x 7
= 112
New number of chickens in Farm G
= 7 u + 5
= 112 + 5
= 117
Farm F : Farm G
48 : 117
(÷ 3)16 : 39
Answer(s): 16 : 39