The ratio of the number of ducks in Farm A to the number of ducks in Farm B was 5 : 7. There were 66 more ducks in Farm B than in Farm A. When 8 ducks escaped from Farm B, the farmer in Farm B bought another 14 ducks. What was the new ratio of the number of ducks in Farm A to the number of ducks in Farm B in the end? Give your answer in the simplest form.
| |
Farm A |
Farm B |
| Before |
5 u |
7 u |
| Change 1 |
|
- 8 |
| Change 2 |
|
+ 14 |
| After |
5 u |
7 u + 6 |
Number of more ducks in Farm B than Farm A
= 7 u - 5 u
= 2 u
2 u = 66
1 u = 66 ÷ 2 = 33
Number of ducks in Farm A
= 5 u
= 33 x 5
= 165
Number of ducks in Farm B
= 7 u
= 33 x 7
= 231
New number of ducks in Farm B
= 7 u + 6
= 231 + 6
= 237
Farm A : Farm B
165 : 237
(÷ 3)55 : 79
Answer(s): 55 : 79
