The ratio of the number of chickens in Farm L to the number of chickens in Farm M was 7 : 10. There were 60 more chickens in Farm M than in Farm L. When 8 chickens escaped from Farm M, the farmer in Farm M bought another 18 chickens. What was the new ratio of the number of chickens in Farm L to the number of chickens in Farm M in the end? Give your answer in the simplest form.
|
Farm L |
Farm M |
Before |
7 u |
10 u |
Change 1 |
|
- 8 |
Change 2 |
|
+ 18 |
After |
7 u |
10 u + 10 |
Number of more chickens in Farm M than Farm L
= 10 u - 7 u
= 3 u
3 u = 60
1 u = 60 ÷ 3 = 20
Number of chickens in Farm L
= 7 u
= 20 x 7
= 140
Number of chickens in Farm M
= 10 u
= 20 x 10
= 200
New number of chickens in Farm M
= 10 u + 10
= 200 + 10
= 210
Farm L : Farm M
140 : 210
(÷ 70)2 : 3
Answer(s): 2 : 3