The ratio of the number of geese in Farm C to the number of geese in Farm D was 3 : 7. There were 60 fewer geese in Farm C than in Farm D. When 9 geese escaped from Farm D, the farmer in Farm D bought another 15 geese. What was the new ratio of the number of geese in Farm C to the number of geese in Farm D in the end? Give your answer in the simplest form.
| |
Farm C |
Farm D |
| Before |
3 u |
7 u |
| Change 1 |
|
- 9 |
| Change 2 |
|
+ 15 |
| After |
3 u |
7 u + 6 |
Number of fewer geese in Farm C than Farm D
= 7 u - 3 u
= 4 u
4 u = 60
1 u = 60 ÷ 4 = 15
Number of geese in Farm C
= 3 u
= 15 x 3
= 45
Number of geese in Farm D
= 7 u
= 15 x 7
= 105
New number of geese in Farm D
= 7 u + 6
= 105 + 6
= 111
Farm C : Farm D
45 : 111
(÷ 3)15 : 37
Answer(s): 15 : 37
