The ratio of the number of ducks in Farm U to the number of ducks in Farm V was 3 : 5. There were 60 more ducks in Farm V than in Farm U. When 12 ducks escaped from Farm V, the farmer in Farm V bought another 15 ducks. What was the new ratio of the number of ducks in Farm U to the number of ducks in Farm V in the end? Give your answer in the simplest form.
| |
Farm U |
Farm V |
| Before |
3 u |
5 u |
| Change 1 |
|
- 12 |
| Change 2 |
|
+ 15 |
| After |
3 u |
5 u + 3 |
Number of more ducks in Farm V than Farm U
= 5 u - 3 u
= 2 u
2 u = 60
1 u = 60 ÷ 2 = 30
Number of ducks in Farm U
= 3 u
= 30 x 3
= 90
Number of ducks in Farm V
= 5 u
= 30 x 5
= 150
New number of ducks in Farm V
= 5 u + 3
= 150 + 3
= 153
Farm U : Farm V
90 : 153
(÷ 9)10 : 17
Answer(s): 10 : 17
