The ratio of the number of hens in Farm W to the number of hens in Farm X was 5 : 8. There were 66 fewer hens in Farm W than in Farm X. When 11 hens escaped from Farm X, the farmer in Farm X bought another 15 hens. What was the new ratio of the number of hens in Farm W to the number of hens in Farm X in the end? Give your answer in the simplest form.
|
Farm W |
Farm X |
Before |
5 u |
8 u |
Change 1 |
|
- 11 |
Change 2 |
|
+ 15 |
After |
5 u |
8 u + 4 |
Number of fewer hens in Farm W than Farm X
= 8 u - 5 u
= 3 u
3 u = 66
1 u = 66 ÷ 3 = 22
Number of hens in Farm W
= 5 u
= 22 x 5
= 110
Number of hens in Farm X
= 8 u
= 22 x 8
= 176
New number of hens in Farm X
= 8 u + 4
= 176 + 4
= 180
Farm W : Farm X
110 : 180
(÷ 10)11 : 18
Answer(s): 11 : 18