The ratio of the number of chickens in Farm F to the number of chickens in Farm G was 5 : 7. There were 70 more chickens in Farm G than in Farm F. When 10 chickens escaped from Farm G, the farmer in Farm G bought another 20 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 |
5 u |
7 u |
Change 1 |
|
- 10 |
Change 2 |
|
+ 20 |
After |
5 u |
7 u + 10 |
Number of more chickens in Farm G than Farm F
= 7 u - 5 u
= 2 u
2 u = 70
1 u = 70 ÷ 2 = 35
Number of chickens in Farm F
= 5 u
= 35 x 5
= 175
Number of chickens in Farm G
= 7 u
= 35 x 7
= 245
New number of chickens in Farm G
= 7 u + 10
= 245 + 10
= 255
Farm F : Farm G
175 : 255
(÷ 5)35 : 51
Answer(s): 35 : 51