The ratio of the number of geese in Farm A to the number of geese in Farm B was 3 : 7. There were 56 fewer geese in Farm A than in Farm B. When 8 geese escaped from Farm B, the farmer in Farm B bought another 18 geese. What was the new ratio of the number of geese in Farm A to the number of geese in Farm B in the end? Give your answer in the simplest form.
| |
Farm A |
Farm B |
| Before |
3 u |
7 u |
| Change 1 |
|
- 8 |
| Change 2 |
|
+ 18 |
| After |
3 u |
7 u + 10 |
Number of fewer geese in Farm A than Farm B
= 7 u - 3 u
= 4 u
4 u = 56
1 u = 56 ÷ 4 = 14
Number of geese in Farm A
= 3 u
= 14 x 3
= 42
Number of geese in Farm B
= 7 u
= 14 x 7
= 98
New number of geese in Farm B
= 7 u + 10
= 98 + 10
= 108
Farm A : Farm B
42 : 108
(÷ 6)7 : 18
Answer(s): 7 : 18
