The ratio of the number of ducks in Farm U to the number of ducks in Farm V was 5 : 9. There were 56 more ducks in Farm V than in Farm U. When 9 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 |
5 u |
9 u |
Change 1 |
|
- 9 |
Change 2 |
|
+ 15 |
After |
5 u |
9 u + 6 |
Number of more ducks in Farm V than Farm U
= 9 u - 5 u
= 4 u
4 u = 56
1 u = 56 ÷ 4 = 14
Number of ducks in Farm U
= 5 u
= 14 x 5
= 70
Number of ducks in Farm V
= 9 u
= 14 x 9
= 126
New number of ducks in Farm V
= 9 u + 6
= 126 + 6
= 132
Farm U : Farm V
70 : 132
(÷ 2)35 : 66
Answer(s): 35 : 66