The ratio of the number of geese in Farm U to the number of geese in Farm V was 4 : 9. There were 40 more geese in Farm V than in Farm U. When 12 geese escaped from Farm V, the farmer in Farm V bought another 20 geese. What was the new ratio of the number of geese in Farm U to the number of geese in Farm V in the end? Give your answer in the simplest form.
|
Farm U |
Farm V |
Before |
4 u |
9 u |
Change 1 |
|
- 12 |
Change 2 |
|
+ 20 |
After |
4 u |
9 u + 8 |
Number of more geese in Farm V than Farm U
= 9 u - 4 u
= 5 u
5 u = 40
1 u = 40 ÷ 5 = 8
Number of geese in Farm U
= 4 u
= 8 x 4
= 32
Number of geese in Farm V
= 9 u
= 8 x 9
= 72
New number of geese in Farm V
= 9 u + 8
= 72 + 8
= 80
Farm U : Farm V
32 : 80
(÷ 16)2 : 5
Answer(s): 2 : 5