The ratio of the number of geese in Farm R to the number of geese in Farm S was 5 : 7. There were 44 fewer geese in Farm R than in Farm S. When 9 geese escaped from Farm S, the farmer in Farm S bought another 13 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 |
5 u |
7 u |
Change 1 |
|
- 9 |
Change 2 |
|
+ 13 |
After |
5 u |
7 u + 4 |
Number of fewer geese in Farm R than Farm S
= 7 u - 5 u
= 2 u
2 u = 44
1 u = 44 ÷ 2 = 22
Number of geese in Farm R
= 5 u
= 22 x 5
= 110
Number of geese in Farm S
= 7 u
= 22 x 7
= 154
New number of geese in Farm S
= 7 u + 4
= 154 + 4
= 158
Farm R : Farm S
110 : 158
(÷ 2)55 : 79
Answer(s): 55 : 79