contestada

To fence in 2 cows, josie used 64 feet of fence. for 3 cows, she used 96 feet of fence, and for 4 cows, she used 128 feet of fence. how many feet of fence will she use for 6 cows?

Respuesta :

The answer is 192 feet

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.

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