The ratio of the number of hens in Farm Q to the number of hens in Farm R was 5 : 9. There were 48 more hens in Farm R than in Farm Q. When 11 hens escaped from Farm R, the farmer in Farm R bought another 19 hens. What was the new ratio of the number of hens in Farm Q to the number of hens in Farm R in the end? Give your answer in the simplest form.
|
Farm Q |
Farm R |
Before |
5 u |
9 u |
Change 1 |
|
- 11 |
Change 2 |
|
+ 19 |
After |
5 u |
9 u + 8 |
Number of more hens in Farm R than Farm Q
= 9 u - 5 u
= 4 u
4 u = 48
1 u = 48 ÷ 4 = 12
Number of hens in Farm Q
= 5 u
= 12 x 5
= 60
Number of hens in Farm R
= 9 u
= 12 x 9
= 108
New number of hens in Farm R
= 9 u + 8
= 108 + 8
= 116
Farm Q : Farm R
60 : 116
(÷ 4)15 : 29
Answer(s): 15 : 29