The ratio of the number of chickens in Farm P to the number of chickens in Farm Q was 4 : 7. There were 42 more chickens in Farm Q than in Farm P. When 10 chickens escaped from Farm Q, the farmer in Farm Q bought another 20 chickens. What was the new ratio of the number of chickens in Farm P to the number of chickens in Farm Q in the end? Give your answer in the simplest form.
|
Farm P |
Farm Q |
Before |
4 u |
7 u |
Change 1 |
|
- 10 |
Change 2 |
|
+ 20 |
After |
4 u |
7 u + 10 |
Number of more chickens in Farm Q than Farm P
= 7 u - 4 u
= 3 u
3 u = 42
1 u = 42 ÷ 3 = 14
Number of chickens in Farm P
= 4 u
= 14 x 4
= 56
Number of chickens in Farm Q
= 7 u
= 14 x 7
= 98
New number of chickens in Farm Q
= 7 u + 10
= 98 + 10
= 108
Farm P : Farm Q
56 : 108
(÷ 4)14 : 27
Answer(s): 14 : 27