Respuesta :
Answer:
192 feet fence would be used for 6 cows.
Step-by-step explanation:
Given,
64 feet of fence is used for 2 cows,
Ratio in fence and cows = [tex]\frac{64}{2}[/tex] = 32,
96 feet of fence is used for 3 cows,
Ratio in fence and cows = [tex]\frac{96}{3}[/tex] = 32,
128 feet of fence is used for 4 cows,
Ratio in fence and cows = [tex]\frac{128}{4}[/tex] = 32,
Thus, by the above explanation it is clear that in every case the ratio of the length of fence and number of cows is 32,
Let x be the length of cows that is used for x cows,
[tex]\implies \frac{x}{6}=32[/tex]
[tex]\implies x = 192[/tex]
Hence, 192 feet fence would be used for 6 cows.