The ratio of the number of geese in Farm F to the number of geese in Farm G was 5 : 8. There were 54 fewer geese in Farm F than in Farm G. When 7 geese escaped from Farm G, the farmer in Farm G bought another 16 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 |
5 u |
8 u |
Change 1 |
|
- 7 |
Change 2 |
|
+ 16 |
After |
5 u |
8 u + 9 |
Number of fewer geese in Farm F than Farm G
= 8 u - 5 u
= 3 u
3 u = 54
1 u = 54 ÷ 3 = 18
Number of geese in Farm F
= 5 u
= 18 x 5
= 90
Number of geese in Farm G
= 8 u
= 18 x 8
= 144
New number of geese in Farm G
= 8 u + 9
= 144 + 9
= 153
Farm F : Farm G
90 : 153
(÷ 9)10 : 17
Answer(s): 10 : 17