Question

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?

Answer 1

The answer is 192 feet

Answer 2

192 feet fence would be used for 6 cows.

Explanation:

Given,

64 feet of fence is used for 2 cows,

Ratio in fence and cows =
`(64)/(2)` = 32,

96 feet of fence is used for 3 cows,

Ratio in fence and cows =
`(96)/(3)` = 32,

128 feet of fence is used for 4 cows,

Ratio in fence and cows =
`(128)/(4)` = 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,

`\implies (x)/(6)=32`

`\implies x = 192`

Hence, 192 feet fence would be used for 6 cows.