The ratio of the number of ducks in Farm C to the number of ducks in Farm D was 5 : 8. There were 45 more ducks in Farm D than in Farm C. When 8 ducks escaped from Farm D, the farmer in Farm D bought another 14 ducks. What was the new ratio of the number of ducks in Farm C to the number of ducks in Farm D in the end? Give your answer in the simplest form.
| |
Farm C |
Farm D |
| Before |
5 u |
8 u |
| Change 1 |
|
- 8 |
| Change 2 |
|
+ 14 |
| After |
5 u |
8 u + 6 |
Number of more ducks in Farm D than Farm C
= 8 u - 5 u
= 3 u
3 u = 45
1 u = 45 ÷ 3 = 15
Number of ducks in Farm C
= 5 u
= 15 x 5
= 75
Number of ducks in Farm D
= 8 u
= 15 x 8
= 120
New number of ducks in Farm D
= 8 u + 6
= 120 + 6
= 126
Farm C : Farm D
75 : 126
(÷ 3)25 : 42
Answer(s): 25 : 42
