The ratio of the number of geese in Farm X to the number of geese in Farm Y was 5 : 7. There were 64 more geese in Farm Y than in Farm X. When 5 geese escaped from Farm Y, the farmer in Farm Y bought another 19 geese. What was the new ratio of the number of geese in Farm X to the number of geese in Farm Y in the end? Give your answer in the simplest form.
| |
Farm X |
Farm Y |
| Before |
5 u |
7 u |
| Change 1 |
|
- 5 |
| Change 2 |
|
+ 19 |
| After |
5 u |
7 u + 14 |
Number of more geese in Farm Y than Farm X
= 7 u - 5 u
= 2 u
2 u = 64
1 u = 64 ÷ 2 = 32
Number of geese in Farm X
= 5 u
= 32 x 5
= 160
Number of geese in Farm Y
= 7 u
= 32 x 7
= 224
New number of geese in Farm Y
= 7 u + 14
= 224 + 14
= 238
Farm X : Farm Y
160 : 238
(÷ 2)80 : 119
Answer(s): 80 : 119
