The ratio of the number of geese in Farm R to the number of geese in Farm S was 3 : 7. There were 44 more geese in Farm S than in Farm R. When 11 geese escaped from Farm S, the farmer in Farm S bought another 15 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 |
3 u |
7 u |
Change 1 |
|
- 11 |
Change 2 |
|
+ 15 |
After |
3 u |
7 u + 4 |
Number of more geese in Farm S than Farm R
= 7 u - 3 u
= 4 u
4 u = 44
1 u = 44 ÷ 4 = 11
Number of geese in Farm R
= 3 u
= 11 x 3
= 33
Number of geese in Farm S
= 7 u
= 11 x 7
= 77
New number of geese in Farm S
= 7 u + 4
= 77 + 4
= 81
Farm R : Farm S
33 : 81
(÷ 3)11 : 27
Answer(s): 11 : 27