The ratio of the number of geese in Farm Y to the number of geese in Farm Z was 5 : 8. There were 45 more geese in Farm Z than in Farm Y. When 7 geese escaped from Farm Z, the farmer in Farm Z bought another 13 geese. What was the new ratio of the number of geese in Farm Y to the number of geese in Farm Z in the end? Give your answer in the simplest form.
| |
Farm Y |
Farm Z |
| Before |
5 u |
8 u |
| Change 1 |
|
- 7 |
| Change 2 |
|
+ 13 |
| After |
5 u |
8 u + 6 |
Number of more geese in Farm Z than Farm Y
= 8 u - 5 u
= 3 u
3 u = 45
1 u = 45 ÷ 3 = 15
Number of geese in Farm Y
= 5 u
= 15 x 5
= 75
Number of geese in Farm Z
= 8 u
= 15 x 8
= 120
New number of geese in Farm Z
= 8 u + 6
= 120 + 6
= 126
Farm Y : Farm Z
75 : 126
(÷ 3)25 : 42
Answer(s): 25 : 42
