The ratio of the number of geese in Farm J to the number of geese in Farm K was 3 : 8. There were 50 fewer geese in Farm J than in Farm K. When 12 geese escaped from Farm K, the farmer in Farm K bought another 16 geese. What was the new ratio of the number of geese in Farm J to the number of geese in Farm K in the end? Give your answer in the simplest form.
|
Farm J |
Farm K |
Before |
3 u |
8 u |
Change 1 |
|
- 12 |
Change 2 |
|
+ 16 |
After |
3 u |
8 u + 4 |
Number of fewer geese in Farm J than Farm K
= 8 u - 3 u
= 5 u
5 u = 50
1 u = 50 ÷ 5 = 10
Number of geese in Farm J
= 3 u
= 10 x 3
= 30
Number of geese in Farm K
= 8 u
= 10 x 8
= 80
New number of geese in Farm K
= 8 u + 4
= 80 + 4
= 84
Farm J : Farm K
30 : 84
(÷ 6)5 : 14
Answer(s): 5 : 14