The ratio of the number of geese in Farm N to the number of geese in Farm P was 7 : 9. There were 60 more geese in Farm P than in Farm N. When 9 geese escaped from Farm P, the farmer in Farm P bought another 13 geese. What was the new ratio of the number of geese in Farm N to the number of geese in Farm P in the end? Give your answer in the simplest form.
|
Farm N |
Farm P |
Before |
7 u |
9 u |
Change 1 |
|
- 9 |
Change 2 |
|
+ 13 |
After |
7 u |
9 u + 4 |
Number of more geese in Farm P than Farm N
= 9 u - 7 u
= 2 u
2 u = 60
1 u = 60 ÷ 2 = 30
Number of geese in Farm N
= 7 u
= 30 x 7
= 210
Number of geese in Farm P
= 9 u
= 30 x 9
= 270
New number of geese in Farm P
= 9 u + 4
= 270 + 4
= 274
Farm N : Farm P
210 : 274
(÷ 2)105 : 137
Answer(s): 105 : 137