The ratio of the number of geese in Farm P to the number of geese in Farm Q was 5 : 7. There were 40 fewer geese in Farm P than in Farm Q. When 10 geese escaped from Farm Q, the farmer in Farm Q bought another 18 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 |
5 u |
7 u |
Change 1 |
|
- 10 |
Change 2 |
|
+ 18 |
After |
5 u |
7 u + 8 |
Number of fewer geese in Farm P than Farm Q
= 7 u - 5 u
= 2 u
2 u = 40
1 u = 40 ÷ 2 = 20
Number of geese in Farm P
= 5 u
= 20 x 5
= 100
Number of geese in Farm Q
= 7 u
= 20 x 7
= 140
New number of geese in Farm Q
= 7 u + 8
= 140 + 8
= 148
Farm P : Farm Q
100 : 148
(÷ 4)25 : 37
Answer(s): 25 : 37