The ratio of the number of hens in Farm D to the number of hens in Farm E was 7 : 9. There were 40 fewer hens in Farm D than in Farm E. When 10 hens escaped from Farm E, the farmer in Farm E bought another 18 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 |
|
+ 18 |
After |
7 u |
9 u + 8 |
Number of fewer hens in Farm D than Farm E
= 9 u - 7 u
= 2 u
2 u = 40
1 u = 40 ÷ 2 = 20
Number of hens in Farm D
= 7 u
= 20 x 7
= 140
Number of hens in Farm E
= 9 u
= 20 x 9
= 180
New number of hens in Farm E
= 9 u + 8
= 180 + 8
= 188
Farm D : Farm E
140 : 188
(÷ 4)35 : 47
Answer(s): 35 : 47