The ratio of the number of hens in Farm W to the number of hens in Farm X was 5 : 7. There were 48 more hens in Farm X than in Farm W. When 7 hens escaped from Farm X, the farmer in Farm X bought another 16 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 |
7 u |
Change 1 |
|
- 7 |
Change 2 |
|
+ 16 |
After |
5 u |
7 u + 9 |
Number of more hens in Farm X than Farm W
= 7 u - 5 u
= 2 u
2 u = 48
1 u = 48 ÷ 2 = 24
Number of hens in Farm W
= 5 u
= 24 x 5
= 120
Number of hens in Farm X
= 7 u
= 24 x 7
= 168
New number of hens in Farm X
= 7 u + 9
= 168 + 9
= 177
Farm W : Farm X
120 : 177
(÷ 3)40 : 59
Answer(s): 40 : 59