The ratio of the number of chickens in Farm U to the number of chickens in Farm V was 5 : 8. There were 66 fewer chickens in Farm U than in Farm V. When 8 chickens escaped from Farm V, the farmer in Farm V bought another 18 chickens. What was the new ratio of the number of chickens in Farm U to the number of chickens in Farm V in the end? Give your answer in the simplest form.
|
Farm U |
Farm V |
Before |
5 u |
8 u |
Change 1 |
|
- 8 |
Change 2 |
|
+ 18 |
After |
5 u |
8 u + 10 |
Number of fewer chickens in Farm U than Farm V
= 8 u - 5 u
= 3 u
3 u = 66
1 u = 66 ÷ 3 = 22
Number of chickens in Farm U
= 5 u
= 22 x 5
= 110
Number of chickens in Farm V
= 8 u
= 22 x 8
= 176
New number of chickens in Farm V
= 8 u + 10
= 176 + 10
= 186
Farm U : Farm V
110 : 186
(÷ 2)55 : 93
Answer(s): 55 : 93