The ratio of the number of chickens in Farm P to the number of chickens in Farm Q was 5 : 7. There were 56 more chickens in Farm Q than in Farm P. When 8 chickens escaped from Farm Q, the farmer in Farm Q bought another 18 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 |
5 u |
7 u |
Change 1 |
|
- 8 |
Change 2 |
|
+ 18 |
After |
5 u |
7 u + 10 |
Number of more chickens in Farm Q than Farm P
= 7 u - 5 u
= 2 u
2 u = 56
1 u = 56 ÷ 2 = 28
Number of chickens in Farm P
= 5 u
= 28 x 5
= 140
Number of chickens in Farm Q
= 7 u
= 28 x 7
= 196
New number of chickens in Farm Q
= 7 u + 10
= 196 + 10
= 206
Farm P : Farm Q
140 : 206
(÷ 2)70 : 103
Answer(s): 70 : 103