The ratio of the number of chickens in Farm V to the number of chickens in Farm W was 3 : 7. There were 44 fewer chickens in Farm V than in Farm W. When 11 chickens escaped from Farm W, the farmer in Farm W bought another 15 chickens. What was the new ratio of the number of chickens in Farm V to the number of chickens in Farm W in the end? Give your answer in the simplest form.
|
Farm V |
Farm W |
Before |
3 u |
7 u |
Change 1 |
|
- 11 |
Change 2 |
|
+ 15 |
After |
3 u |
7 u + 4 |
Number of fewer chickens in Farm V than Farm W
= 7 u - 3 u
= 4 u
4 u = 44
1 u = 44 ÷ 4 = 11
Number of chickens in Farm V
= 3 u
= 11 x 3
= 33
Number of chickens in Farm W
= 7 u
= 11 x 7
= 77
New number of chickens in Farm W
= 7 u + 4
= 77 + 4
= 81
Farm V : Farm W
33 : 81
(÷ 3)11 : 27
Answer(s): 11 : 27