The ratio of the number of ducks in Farm V to the number of ducks in Farm W was 3 : 7. There were 56 fewer ducks in Farm V than in Farm W. When 10 ducks escaped from Farm W, the farmer in Farm W bought another 14 ducks. What was the new ratio of the number of ducks in Farm V to the number of ducks in Farm W in the end? Give your answer in the simplest form.
| |
Farm V |
Farm W |
| Before |
3 u |
7 u |
| Change 1 |
|
- 10 |
| Change 2 |
|
+ 14 |
| After |
3 u |
7 u + 4 |
Number of fewer ducks in Farm V than Farm W
= 7 u - 3 u
= 4 u
4 u = 56
1 u = 56 ÷ 4 = 14
Number of ducks in Farm V
= 3 u
= 14 x 3
= 42
Number of ducks in Farm W
= 7 u
= 14 x 7
= 98
New number of ducks in Farm W
= 7 u + 4
= 98 + 4
= 102
Farm V : Farm W
42 : 102
(÷ 6)7 : 17
Answer(s): 7 : 17
