The ratio of the number of hens in Farm D to the number of hens in Farm E was 7 : 9. There were 48 more hens in Farm E than in Farm D. When 6 hens escaped from Farm E, the farmer in Farm E bought another 15 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 |
|
- 6 |
Change 2 |
|
+ 15 |
After |
7 u |
9 u + 9 |
Number of more hens in Farm E than Farm D
= 9 u - 7 u
= 2 u
2 u = 48
1 u = 48 ÷ 2 = 24
Number of hens in Farm D
= 7 u
= 24 x 7
= 168
Number of hens in Farm E
= 9 u
= 24 x 9
= 216
New number of hens in Farm E
= 9 u + 9
= 216 + 9
= 225
Farm D : Farm E
168 : 225
(÷ 3)56 : 75
Answer(s): 56 : 75