The ratio of the number of ducks in Farm E to the number of ducks in Farm F was 3 : 8. There were 60 fewer ducks in Farm E than in Farm F. When 7 ducks escaped from Farm F, the farmer in Farm F bought another 16 ducks. What was the new ratio of the number of ducks in Farm E to the number of ducks in Farm F in the end? Give your answer in the simplest form.
| |
Farm E |
Farm F |
| Before |
3 u |
8 u |
| Change 1 |
|
- 7 |
| Change 2 |
|
+ 16 |
| After |
3 u |
8 u + 9 |
Number of fewer ducks in Farm E than Farm F
= 8 u - 3 u
= 5 u
5 u = 60
1 u = 60 ÷ 5 = 12
Number of ducks in Farm E
= 3 u
= 12 x 3
= 36
Number of ducks in Farm F
= 8 u
= 12 x 8
= 96
New number of ducks in Farm F
= 8 u + 9
= 96 + 9
= 105
Farm E : Farm F
36 : 105
(÷ 3)12 : 35
Answer(s): 12 : 35
