The ratio of the number of hens in Farm U to the number of hens in Farm V was 3 : 5. There were 70 more hens in Farm V than in Farm U. When 6 hens escaped from Farm V, the farmer in Farm V bought another 13 hens. What was the new ratio of the number of hens in Farm U to the number of hens in Farm V in the end? Give your answer in the simplest form.
| |
Farm U |
Farm V |
| Before |
3 u |
5 u |
| Change 1 |
|
- 6 |
| Change 2 |
|
+ 13 |
| After |
3 u |
5 u + 7 |
Number of more hens in Farm V than Farm U
= 5 u - 3 u
= 2 u
2 u = 70
1 u = 70 ÷ 2 = 35
Number of hens in Farm U
= 3 u
= 35 x 3
= 105
Number of hens in Farm V
= 5 u
= 35 x 5
= 175
New number of hens in Farm V
= 5 u + 7
= 175 + 7
= 182
Farm U : Farm V
105 : 182
(÷ 7)15 : 26
Answer(s): 15 : 26
