The ratio of the number of geese in Farm L to the number of geese in Farm M was 5 : 7. There were 52 fewer geese in Farm L than in Farm M. When 8 geese escaped from Farm M, the farmer in Farm M bought another 16 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 |
5 u |
7 u |
Change 1 |
|
- 8 |
Change 2 |
|
+ 16 |
After |
5 u |
7 u + 8 |
Number of fewer geese in Farm L than Farm M
= 7 u - 5 u
= 2 u
2 u = 52
1 u = 52 ÷ 2 = 26
Number of geese in Farm L
= 5 u
= 26 x 5
= 130
Number of geese in Farm M
= 7 u
= 26 x 7
= 182
New number of geese in Farm M
= 7 u + 8
= 182 + 8
= 190
Farm L : Farm M
130 : 190
(÷ 10)13 : 19
Answer(s): 13 : 19