The ratio of the number of hens in Farm K to the number of hens in Farm L was 7 : 9. There were 62 more hens in Farm L than in Farm K. When 12 hens escaped from Farm L, the farmer in Farm L bought another 13 hens. What was the new ratio of the number of hens in Farm K to the number of hens in Farm L in the end? Give your answer in the simplest form.
|
Farm K |
Farm L |
Before |
7 u |
9 u |
Change 1 |
|
- 12 |
Change 2 |
|
+ 13 |
After |
7 u |
9 u + 1 |
Number of more hens in Farm L than Farm K
= 9 u - 7 u
= 2 u
2 u = 62
1 u = 62 ÷ 2 = 31
Number of hens in Farm K
= 7 u
= 31 x 7
= 217
Number of hens in Farm L
= 9 u
= 31 x 9
= 279
New number of hens in Farm L
= 9 u + 1
= 279 + 1
= 280
Farm K : Farm L
217 : 280
(÷ 7)31 : 40
Answer(s): 31 : 40