The ratio of the number of hens in Farm Y to the number of hens in Farm Z was 5 : 7. There were 66 more hens in Farm Z than in Farm Y. When 7 hens escaped from Farm Z, the farmer in Farm Z bought another 18 hens. What was the new ratio of the number of hens in Farm Y to the number of hens in Farm Z in the end? Give your answer in the simplest form.
|
Farm Y |
Farm Z |
Before |
5 u |
7 u |
Change 1 |
|
- 7 |
Change 2 |
|
+ 18 |
After |
5 u |
7 u + 11 |
Number of more hens in Farm Z than Farm Y
= 7 u - 5 u
= 2 u
2 u = 66
1 u = 66 ÷ 2 = 33
Number of hens in Farm Y
= 5 u
= 33 x 5
= 165
Number of hens in Farm Z
= 7 u
= 33 x 7
= 231
New number of hens in Farm Z
= 7 u + 11
= 231 + 11
= 242
Farm Y : Farm Z
165 : 242
(÷ 11)15 : 22
Answer(s): 15 : 22