The ratio of the number of hens in Farm P to the number of hens in Farm Q was 5 : 9. There were 56 fewer hens in Farm P than in Farm Q. When 10 hens escaped from Farm Q, the farmer in Farm Q bought another 17 hens. What was the new ratio of the number of hens in Farm P to the number of hens in Farm Q in the end? Give your answer in the simplest form.
|
Farm P |
Farm Q |
Before |
5 u |
9 u |
Change 1 |
|
- 10 |
Change 2 |
|
+ 17 |
After |
5 u |
9 u + 7 |
Number of fewer hens in Farm P than Farm Q
= 9 u - 5 u
= 4 u
4 u = 56
1 u = 56 ÷ 4 = 14
Number of hens in Farm P
= 5 u
= 14 x 5
= 70
Number of hens in Farm Q
= 9 u
= 14 x 9
= 126
New number of hens in Farm Q
= 9 u + 7
= 126 + 7
= 133
Farm P : Farm Q
70 : 133
(÷ 7)10 : 19
Answer(s): 10 : 19