The ratio of the number of geese in Farm D to the number of geese in Farm E was 4 : 7. There were 63 fewer geese in Farm D than in Farm E. When 6 geese escaped from Farm E, the farmer in Farm E bought another 19 geese. What was the new ratio of the number of geese in Farm D to the number of geese in Farm E in the end? Give your answer in the simplest form.
|
Farm D |
Farm E |
Before |
4 u |
7 u |
Change 1 |
|
- 6 |
Change 2 |
|
+ 19 |
After |
4 u |
7 u + 13 |
Number of fewer geese in Farm D than Farm E
= 7 u - 4 u
= 3 u
3 u = 63
1 u = 63 ÷ 3 = 21
Number of geese in Farm D
= 4 u
= 21 x 4
= 84
Number of geese in Farm E
= 7 u
= 21 x 7
= 147
New number of geese in Farm E
= 7 u + 13
= 147 + 13
= 160
Farm D : Farm E
84 : 160
(÷ 4)21 : 40
Answer(s): 21 : 40