The ratio of the number of geese in Farm V to the number of geese in Farm W was 5 : 7. There were 44 more geese in Farm W than in Farm V. When 5 geese escaped from Farm W, the farmer in Farm W bought another 19 geese. What was the new ratio of the number of geese in Farm V to the number of geese in Farm W in the end? Give your answer in the simplest form.
|
Farm V |
Farm W |
Before |
5 u |
7 u |
Change 1 |
|
- 5 |
Change 2 |
|
+ 19 |
After |
5 u |
7 u + 14 |
Number of more geese in Farm W than Farm V
= 7 u - 5 u
= 2 u
2 u = 44
1 u = 44 ÷ 2 = 22
Number of geese in Farm V
= 5 u
= 22 x 5
= 110
Number of geese in Farm W
= 7 u
= 22 x 7
= 154
New number of geese in Farm W
= 7 u + 14
= 154 + 14
= 168
Farm V : Farm W
110 : 168
(÷ 2)55 : 84
Answer(s): 55 : 84