The ratio of the number of chickens in Farm T to the number of chickens in Farm U was 7 : 9. There were 58 fewer chickens in Farm T than in Farm U. When 8 chickens escaped from Farm U, the farmer in Farm U bought another 20 chickens. What was the new ratio of the number of chickens in Farm T to the number of chickens in Farm U in the end? Give your answer in the simplest form.
|
Farm T |
Farm U |
Before |
7 u |
9 u |
Change 1 |
|
- 8 |
Change 2 |
|
+ 20 |
After |
7 u |
9 u + 12 |
Number of fewer chickens in Farm T than Farm U
= 9 u - 7 u
= 2 u
2 u = 58
1 u = 58 ÷ 2 = 29
Number of chickens in Farm T
= 7 u
= 29 x 7
= 203
Number of chickens in Farm U
= 9 u
= 29 x 9
= 261
New number of chickens in Farm U
= 9 u + 12
= 261 + 12
= 273
Farm T : Farm U
203 : 273
(÷ 7)29 : 39
Answer(s): 29 : 39