The ratio of the number of ducks in Farm G to the number of ducks in Farm H was 5 : 7. There were 64 fewer ducks in Farm G than in Farm H. When 9 ducks escaped from Farm H, the farmer in Farm H bought another 19 ducks. What was the new ratio of the number of ducks in Farm G to the number of ducks in Farm H in the end? Give your answer in the simplest form.
| |
Farm G |
Farm H |
| Before |
5 u |
7 u |
| Change 1 |
|
- 9 |
| Change 2 |
|
+ 19 |
| After |
5 u |
7 u + 10 |
Number of fewer ducks in Farm G than Farm H
= 7 u - 5 u
= 2 u
2 u = 64
1 u = 64 ÷ 2 = 32
Number of ducks in Farm G
= 5 u
= 32 x 5
= 160
Number of ducks in Farm H
= 7 u
= 32 x 7
= 224
New number of ducks in Farm H
= 7 u + 10
= 224 + 10
= 234
Farm G : Farm H
160 : 234
(÷ 2)80 : 117
Answer(s): 80 : 117
