The ratio of the number of geese in Farm P to the number of geese in Farm Q was 7 : 10. There were 66 more geese in Farm Q than in Farm P. When 5 geese escaped from Farm Q, the farmer in Farm Q bought another 19 geese. What was the new ratio of the number of geese in Farm P to the number of geese in Farm Q in the end? Give your answer in the simplest form.
|
Farm P |
Farm Q |
Before |
7 u |
10 u |
Change 1 |
|
- 5 |
Change 2 |
|
+ 19 |
After |
7 u |
10 u + 14 |
Number of more geese in Farm Q than Farm P
= 10 u - 7 u
= 3 u
3 u = 66
1 u = 66 ÷ 3 = 22
Number of geese in Farm P
= 7 u
= 22 x 7
= 154
Number of geese in Farm Q
= 10 u
= 22 x 10
= 220
New number of geese in Farm Q
= 10 u + 14
= 220 + 14
= 234
Farm P : Farm Q
154 : 234
(÷ 2)77 : 117
Answer(s): 77 : 117