The ratio of the number of chickens in Farm B to the number of chickens in Farm C was 7 : 9. There were 48 more chickens in Farm C than in Farm B. When 6 chickens escaped from Farm C, the farmer in Farm C bought another 20 chickens. What was the new ratio of the number of chickens in Farm B to the number of chickens in Farm C in the end? Give your answer in the simplest form.
|
Farm B |
Farm C |
Before |
7 u |
9 u |
Change 1 |
|
- 6 |
Change 2 |
|
+ 20 |
After |
7 u |
9 u + 14 |
Number of more chickens in Farm C than Farm B
= 9 u - 7 u
= 2 u
2 u = 48
1 u = 48 ÷ 2 = 24
Number of chickens in Farm B
= 7 u
= 24 x 7
= 168
Number of chickens in Farm C
= 9 u
= 24 x 9
= 216
New number of chickens in Farm C
= 9 u + 14
= 216 + 14
= 230
Farm B : Farm C
168 : 230
(÷ 2)84 : 115
Answer(s): 84 : 115