The ratio of the number of chickens in Farm N to the number of chickens in Farm P was 3 : 5. There were 60 fewer chickens in Farm N than in Farm P. When 5 chickens escaped from Farm P, the farmer in Farm P bought another 14 chickens. What was the new ratio of the number of chickens in Farm N to the number of chickens in Farm P in the end? Give your answer in the simplest form.
|
Farm N |
Farm P |
Before |
3 u |
5 u |
Change 1 |
|
- 5 |
Change 2 |
|
+ 14 |
After |
3 u |
5 u + 9 |
Number of fewer chickens in Farm N than Farm P
= 5 u - 3 u
= 2 u
2 u = 60
1 u = 60 ÷ 2 = 30
Number of chickens in Farm N
= 3 u
= 30 x 3
= 90
Number of chickens in Farm P
= 5 u
= 30 x 5
= 150
New number of chickens in Farm P
= 5 u + 9
= 150 + 9
= 159
Farm N : Farm P
90 : 159
(÷ 3)30 : 53
Answer(s): 30 : 53