The ratio of the number of hens in Farm W to the number of hens in Farm X was 5 : 8. There were 63 fewer hens in Farm W than in Farm X. When 12 hens escaped from Farm X, the farmer in Farm X bought another 14 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 |
|
- 12 |
| Change 2 |
|
+ 14 |
| After |
5 u |
8 u + 2 |
Number of fewer hens in Farm W than Farm X
= 8 u - 5 u
= 3 u
3 u = 63
1 u = 63 ÷ 3 = 21
Number of hens in Farm W
= 5 u
= 21 x 5
= 105
Number of hens in Farm X
= 8 u
= 21 x 8
= 168
New number of hens in Farm X
= 8 u + 2
= 168 + 2
= 170
Farm W : Farm X
105 : 170
(÷ 5)21 : 34
Answer(s): 21 : 34
