The ratio of the number of ducks in Farm P to the number of ducks in Farm Q was 3 : 5. There were 70 more ducks in Farm Q than in Farm P. When 5 ducks escaped from Farm Q, the farmer in Farm Q bought another 20 ducks. What was the new ratio of the number of ducks in Farm P to the number of ducks in Farm Q in the end? Give your answer in the simplest form.
| |
Farm P |
Farm Q |
| Before |
3 u |
5 u |
| Change 1 |
|
- 5 |
| Change 2 |
|
+ 20 |
| After |
3 u |
5 u + 15 |
Number of more ducks in Farm Q than Farm P
= 5 u - 3 u
= 2 u
2 u = 70
1 u = 70 ÷ 2 = 35
Number of ducks in Farm P
= 3 u
= 35 x 3
= 105
Number of ducks in Farm Q
= 5 u
= 35 x 5
= 175
New number of ducks in Farm Q
= 5 u + 15
= 175 + 15
= 190
Farm P : Farm Q
105 : 190
(÷ 5)21 : 38
Answer(s): 21 : 38
