The ratio of the number of geese in Farm E to the number of geese in Farm F was 4 : 7. There were 48 fewer geese in Farm E than in Farm F. When 5 geese escaped from Farm F, the farmer in Farm F bought another 19 geese. What was the new ratio of the number of geese in Farm E to the number of geese in Farm F in the end? Give your answer in the simplest form.
|
Farm E |
Farm F |
Before |
4 u |
7 u |
Change 1 |
|
- 5 |
Change 2 |
|
+ 19 |
After |
4 u |
7 u + 14 |
Number of fewer geese in Farm E than Farm F
= 7 u - 4 u
= 3 u
3 u = 48
1 u = 48 ÷ 3 = 16
Number of geese in Farm E
= 4 u
= 16 x 4
= 64
Number of geese in Farm F
= 7 u
= 16 x 7
= 112
New number of geese in Farm F
= 7 u + 14
= 112 + 14
= 126
Farm E : Farm F
64 : 126
(÷ 2)32 : 63
Answer(s): 32 : 63