The ratio of the number of ducks in Farm N to the number of ducks in Farm P was 5 : 8. There were 42 more ducks in Farm P than in Farm N. When 12 ducks escaped from Farm P, the farmer in Farm P bought another 16 ducks. What was the new ratio of the number of ducks in Farm N to the number of ducks in Farm P in the end? Give your answer in the simplest form.
| |
Farm N |
Farm P |
| Before |
5 u |
8 u |
| Change 1 |
|
- 12 |
| Change 2 |
|
+ 16 |
| After |
5 u |
8 u + 4 |
Number of more ducks in Farm P than Farm N
= 8 u - 5 u
= 3 u
3 u = 42
1 u = 42 ÷ 3 = 14
Number of ducks in Farm N
= 5 u
= 14 x 5
= 70
Number of ducks in Farm P
= 8 u
= 14 x 8
= 112
New number of ducks in Farm P
= 8 u + 4
= 112 + 4
= 116
Farm N : Farm P
70 : 116
(÷ 2)35 : 58
Answer(s): 35 : 58
