The ratio of the number of chickens in Farm M to the number of chickens in Farm N was 4 : 7. There were 63 fewer chickens in Farm M than in Farm N. When 6 chickens escaped from Farm N, the farmer in Farm N bought another 18 chickens. What was the new ratio of the number of chickens in Farm M to the number of chickens in Farm N in the end? Give your answer in the simplest form.
|
Farm M |
Farm N |
Before |
4 u |
7 u |
Change 1 |
|
- 6 |
Change 2 |
|
+ 18 |
After |
4 u |
7 u + 12 |
Number of fewer chickens in Farm M than Farm N
= 7 u - 4 u
= 3 u
3 u = 63
1 u = 63 ÷ 3 = 21
Number of chickens in Farm M
= 4 u
= 21 x 4
= 84
Number of chickens in Farm N
= 7 u
= 21 x 7
= 147
New number of chickens in Farm N
= 7 u + 12
= 147 + 12
= 159
Farm M : Farm N
84 : 159
(÷ 3)28 : 53
Answer(s): 28 : 53