The ratio of the number of geese in Farm Z to the number of geese in Farm A was 5 : 9. There were 68 fewer geese in Farm Z than in Farm A. When 12 geese escaped from Farm A, the farmer in Farm A bought another 19 geese. What was the new ratio of the number of geese in Farm Z to the number of geese in Farm A in the end? Give your answer in the simplest form.
|
Farm Z |
Farm A |
Before |
5 u |
9 u |
Change 1 |
|
- 12 |
Change 2 |
|
+ 19 |
After |
5 u |
9 u + 7 |
Number of fewer geese in Farm Z than Farm A
= 9 u - 5 u
= 4 u
4 u = 68
1 u = 68 ÷ 4 = 17
Number of geese in Farm Z
= 5 u
= 17 x 5
= 85
Number of geese in Farm A
= 9 u
= 17 x 9
= 153
New number of geese in Farm A
= 9 u + 7
= 153 + 7
= 160
Farm Z : Farm A
85 : 160
(÷ 5)17 : 32
Answer(s): 17 : 32