The ratio of the number of ducks in Farm J to the number of ducks in Farm K was 7 : 10. There were 54 more ducks in Farm K than in Farm J. When 6 ducks escaped from Farm K, the farmer in Farm K bought another 20 ducks. What was the new ratio of the number of ducks in Farm J to the number of ducks in Farm K in the end? Give your answer in the simplest form.
|
Farm J |
Farm K |
Before |
7 u |
10 u |
Change 1 |
|
- 6 |
Change 2 |
|
+ 20 |
After |
7 u |
10 u + 14 |
Number of more ducks in Farm K than Farm J
= 10 u - 7 u
= 3 u
3 u = 54
1 u = 54 ÷ 3 = 18
Number of ducks in Farm J
= 7 u
= 18 x 7
= 126
Number of ducks in Farm K
= 10 u
= 18 x 10
= 180
New number of ducks in Farm K
= 10 u + 14
= 180 + 14
= 194
Farm J : Farm K
126 : 194
(÷ 2)63 : 97
Answer(s): 63 : 97