The ratio of the number of ducks in Farm Y to the number of ducks in Farm Z was 3 : 8. There were 40 more ducks in Farm Z than in Farm Y. When 9 ducks escaped from Farm Z, the farmer in Farm Z bought another 17 ducks. What was the new ratio of the number of ducks in Farm Y to the number of ducks in Farm Z in the end? Give your answer in the simplest form.
|
Farm Y |
Farm Z |
Before |
3 u |
8 u |
Change 1 |
|
- 9 |
Change 2 |
|
+ 17 |
After |
3 u |
8 u + 8 |
Number of more ducks in Farm Z than Farm Y
= 8 u - 3 u
= 5 u
5 u = 40
1 u = 40 ÷ 5 = 8
Number of ducks in Farm Y
= 3 u
= 8 x 3
= 24
Number of ducks in Farm Z
= 8 u
= 8 x 8
= 64
New number of ducks in Farm Z
= 8 u + 8
= 64 + 8
= 72
Farm Y : Farm Z
24 : 72
(÷ 24)1 : 3
Answer(s): 1 : 3