The ratio of the number of ducks in Farm F to the number of ducks in Farm G was 3 : 8. There were 40 more ducks in Farm G than in Farm F. When 6 ducks escaped from Farm G, the farmer in Farm G bought another 20 ducks. What was the new ratio of the number of ducks in Farm F to the number of ducks in Farm G in the end? Give your answer in the simplest form.
|
Farm F |
Farm G |
Before |
3 u |
8 u |
Change 1 |
|
- 6 |
Change 2 |
|
+ 20 |
After |
3 u |
8 u + 14 |
Number of more ducks in Farm G than Farm F
= 8 u - 3 u
= 5 u
5 u = 40
1 u = 40 ÷ 5 = 8
Number of ducks in Farm F
= 3 u
= 8 x 3
= 24
Number of ducks in Farm G
= 8 u
= 8 x 8
= 64
New number of ducks in Farm G
= 8 u + 14
= 64 + 14
= 78
Farm F : Farm G
24 : 78
(÷ 6)4 : 13
Answer(s): 4 : 13