The ratio of the number of geese in Farm F to the number of geese in Farm G was 7 : 9. There were 70 more geese in Farm G than in Farm F. When 7 geese escaped from Farm G, the farmer in Farm G bought another 17 geese. What was the new ratio of the number of geese in Farm F to the number of geese in Farm G in the end? Give your answer in the simplest form.
|
Farm F |
Farm G |
Before |
7 u |
9 u |
Change 1 |
|
- 7 |
Change 2 |
|
+ 17 |
After |
7 u |
9 u + 10 |
Number of more geese in Farm G than Farm F
= 9 u - 7 u
= 2 u
2 u = 70
1 u = 70 ÷ 2 = 35
Number of geese in Farm F
= 7 u
= 35 x 7
= 245
Number of geese in Farm G
= 9 u
= 35 x 9
= 315
New number of geese in Farm G
= 9 u + 10
= 315 + 10
= 325
Farm F : Farm G
245 : 325
(÷ 5)49 : 65
Answer(s): 49 : 65