The ratio of the number of geese in Farm R to the number of geese in Farm S was 7 : 10. There were 60 more geese in Farm S than in Farm R. When 8 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 |
7 u |
10 u |
| Change 1 |
|
- 8 |
| Change 2 |
|
+ 13 |
| After |
7 u |
10 u + 5 |
Number of more geese in Farm S than Farm R
= 10 u - 7 u
= 3 u
3 u = 60
1 u = 60 ÷ 3 = 20
Number of geese in Farm R
= 7 u
= 20 x 7
= 140
Number of geese in Farm S
= 10 u
= 20 x 10
= 200
New number of geese in Farm S
= 10 u + 5
= 200 + 5
= 205
Farm R : Farm S
140 : 205
(÷ 5)28 : 41
Answer(s): 28 : 41
