The ratio of the number of chickens in Farm J to the number of chickens in Farm K was 4 : 7. There were 66 more chickens in Farm K than in Farm J. When 12 chickens escaped from Farm K, the farmer in Farm K bought another 16 chickens. What was the new ratio of the number of chickens in Farm J to the number of chickens in Farm K in the end? Give your answer in the simplest form.
|
Farm J |
Farm K |
Before |
4 u |
7 u |
Change 1 |
|
- 12 |
Change 2 |
|
+ 16 |
After |
4 u |
7 u + 4 |
Number of more chickens in Farm K than Farm J
= 7 u - 4 u
= 3 u
3 u = 66
1 u = 66 ÷ 3 = 22
Number of chickens in Farm J
= 4 u
= 22 x 4
= 88
Number of chickens in Farm K
= 7 u
= 22 x 7
= 154
New number of chickens in Farm K
= 7 u + 4
= 154 + 4
= 158
Farm J : Farm K
88 : 158
(÷ 2)44 : 79
Answer(s): 44 : 79