The ratio of the number of geese in Farm D to the number of geese in Farm E was 3 : 7. There were 56 more geese in Farm E than in Farm D. When 12 geese escaped from Farm E, the farmer in Farm E bought another 19 geese. What was the new ratio of the number of geese in Farm D to the number of geese in Farm E in the end? Give your answer in the simplest form.
| |
Farm D |
Farm E |
| Before |
3 u |
7 u |
| Change 1 |
|
- 12 |
| Change 2 |
|
+ 19 |
| After |
3 u |
7 u + 7 |
Number of more geese in Farm E than Farm D
= 7 u - 3 u
= 4 u
4 u = 56
1 u = 56 ÷ 4 = 14
Number of geese in Farm D
= 3 u
= 14 x 3
= 42
Number of geese in Farm E
= 7 u
= 14 x 7
= 98
New number of geese in Farm E
= 7 u + 7
= 98 + 7
= 105
Farm D : Farm E
42 : 105
(÷ 21)2 : 5
Answer(s): 2 : 5
