The ratio of the number of hens in Farm X to the number of hens in Farm Y was 7 : 10. There were 54 more hens in Farm Y than in Farm X. When 6 hens escaped from Farm Y, the farmer in Farm Y bought another 18 hens. What was the new ratio of the number of hens in Farm X to the number of hens in Farm Y in the end? Give your answer in the simplest form.
|
Farm X |
Farm Y |
Before |
7 u |
10 u |
Change 1 |
|
- 6 |
Change 2 |
|
+ 18 |
After |
7 u |
10 u + 12 |
Number of more hens in Farm Y than Farm X
= 10 u - 7 u
= 3 u
3 u = 54
1 u = 54 ÷ 3 = 18
Number of hens in Farm X
= 7 u
= 18 x 7
= 126
Number of hens in Farm Y
= 10 u
= 18 x 10
= 180
New number of hens in Farm Y
= 10 u + 12
= 180 + 12
= 192
Farm X : Farm Y
126 : 192
(÷ 6)21 : 32
Answer(s): 21 : 32