The ratio of the number of geese in Farm H to the number of geese in Farm J was 5 : 8. There were 48 more geese in Farm J than in Farm H. When 8 geese escaped from Farm J, the farmer in Farm J bought another 15 geese. What was the new ratio of the number of geese in Farm H to the number of geese in Farm J in the end? Give your answer in the simplest form.
|
Farm H |
Farm J |
Before |
5 u |
8 u |
Change 1 |
|
- 8 |
Change 2 |
|
+ 15 |
After |
5 u |
8 u + 7 |
Number of more geese in Farm J than Farm H
= 8 u - 5 u
= 3 u
3 u = 48
1 u = 48 ÷ 3 = 16
Number of geese in Farm H
= 5 u
= 16 x 5
= 80
Number of geese in Farm J
= 8 u
= 16 x 8
= 128
New number of geese in Farm J
= 8 u + 7
= 128 + 7
= 135
Farm H : Farm J
80 : 135
(÷ 5)16 : 27
Answer(s): 16 : 27