The ratio of the number of chickens in Farm Z to the number of chickens in Farm A was 5 : 8. There were 42 fewer chickens in Farm Z than in Farm A. When 9 chickens escaped from Farm A, the farmer in Farm A bought another 17 chickens. What was the new ratio of the number of chickens in Farm Z to the number of chickens in Farm A in the end? Give your answer in the simplest form.
|
Farm Z |
Farm A |
Before |
5 u |
8 u |
Change 1 |
|
- 9 |
Change 2 |
|
+ 17 |
After |
5 u |
8 u + 8 |
Number of fewer chickens in Farm Z than Farm A
= 8 u - 5 u
= 3 u
3 u = 42
1 u = 42 ÷ 3 = 14
Number of chickens in Farm Z
= 5 u
= 14 x 5
= 70
Number of chickens in Farm A
= 8 u
= 14 x 8
= 112
New number of chickens in Farm A
= 8 u + 8
= 112 + 8
= 120
Farm Z : Farm A
70 : 120
(÷ 10)7 : 12
Answer(s): 7 : 12