The ratio of the number of hens in Farm D to the number of hens in Farm E was 7 : 9. There were 54 more hens in Farm E than in Farm D. When 10 hens escaped from Farm E, the farmer in Farm E bought another 13 hens. What was the new ratio of the number of hens in Farm D to the number of hens in Farm E in the end? Give your answer in the simplest form.
|
Farm D |
Farm E |
Before |
7 u |
9 u |
Change 1 |
|
- 10 |
Change 2 |
|
+ 13 |
After |
7 u |
9 u + 3 |
Number of more hens in Farm E than Farm D
= 9 u - 7 u
= 2 u
2 u = 54
1 u = 54 ÷ 2 = 27
Number of hens in Farm D
= 7 u
= 27 x 7
= 189
Number of hens in Farm E
= 9 u
= 27 x 9
= 243
New number of hens in Farm E
= 9 u + 3
= 243 + 3
= 246
Farm D : Farm E
189 : 246
(÷ 3)63 : 82
Answer(s): 63 : 82