The ratio of the number of geese in Farm L to the number of geese in Farm M was 4 : 9. There were 55 fewer geese in Farm L than in Farm M. When 8 geese escaped from Farm M, the farmer in Farm M bought another 13 geese. What was the new ratio of the number of geese in Farm L to the number of geese in Farm M in the end? Give your answer in the simplest form.
|
Farm L |
Farm M |
Before |
4 u |
9 u |
Change 1 |
|
- 8 |
Change 2 |
|
+ 13 |
After |
4 u |
9 u + 5 |
Number of fewer geese in Farm L than Farm M
= 9 u - 4 u
= 5 u
5 u = 55
1 u = 55 ÷ 5 = 11
Number of geese in Farm L
= 4 u
= 11 x 4
= 44
Number of geese in Farm M
= 9 u
= 11 x 9
= 99
New number of geese in Farm M
= 9 u + 5
= 99 + 5
= 104
Farm L : Farm M
44 : 104
(÷ 4)11 : 26
Answer(s): 11 : 26