The ratio of the number of geese in Farm R to the number of geese in Farm S was 4 : 9. There were 45 fewer geese in Farm R than in Farm S. When 11 geese escaped from Farm S, the farmer in Farm S bought another 17 geese. What was the new ratio of the number of geese in Farm R to the number of geese in Farm S in the end? Give your answer in the simplest form.
|
Farm R |
Farm S |
Before |
4 u |
9 u |
Change 1 |
|
- 11 |
Change 2 |
|
+ 17 |
After |
4 u |
9 u + 6 |
Number of fewer geese in Farm R than Farm S
= 9 u - 4 u
= 5 u
5 u = 45
1 u = 45 ÷ 5 = 9
Number of geese in Farm R
= 4 u
= 9 x 4
= 36
Number of geese in Farm S
= 9 u
= 9 x 9
= 81
New number of geese in Farm S
= 9 u + 6
= 81 + 6
= 87
Farm R : Farm S
36 : 87
(÷ 3)12 : 29
Answer(s): 12 : 29