The ratio of the number of geese in Farm N to the number of geese in Farm P was 5 : 9. There were 60 more geese in Farm P than in Farm N. When 6 geese escaped from Farm P, the farmer in Farm P bought another 15 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 |
5 u |
9 u |
Change 1 |
|
- 6 |
Change 2 |
|
+ 15 |
After |
5 u |
9 u + 9 |
Number of more geese in Farm P than Farm N
= 9 u - 5 u
= 4 u
4 u = 60
1 u = 60 ÷ 4 = 15
Number of geese in Farm N
= 5 u
= 15 x 5
= 75
Number of geese in Farm P
= 9 u
= 15 x 9
= 135
New number of geese in Farm P
= 9 u + 9
= 135 + 9
= 144
Farm N : Farm P
75 : 144
(÷ 3)25 : 48
Answer(s): 25 : 48