The ratio of the number of ducks in Farm Q to the number of ducks in Farm R was 5 : 9. There were 60 more ducks in Farm R than in Farm Q. When 5 ducks escaped from Farm R, the farmer in Farm R bought another 14 ducks. What was the new ratio of the number of ducks in Farm Q to the number of ducks in Farm R in the end? Give your answer in the simplest form.
|
Farm Q |
Farm R |
Before |
5 u |
9 u |
Change 1 |
|
- 5 |
Change 2 |
|
+ 14 |
After |
5 u |
9 u + 9 |
Number of more ducks in Farm R than Farm Q
= 9 u - 5 u
= 4 u
4 u = 60
1 u = 60 ÷ 4 = 15
Number of ducks in Farm Q
= 5 u
= 15 x 5
= 75
Number of ducks in Farm R
= 9 u
= 15 x 9
= 135
New number of ducks in Farm R
= 9 u + 9
= 135 + 9
= 144
Farm Q : Farm R
75 : 144
(÷ 3)25 : 48
Answer(s): 25 : 48