Question

How much will it cost to purchase chicken wire for a fence if $53$ feet are needed and the fencing costs $\$4.71$ per yard?

Answer 1

Hint: To solve the above question, we need to use the unitary method. But before that we need to convert the given information in the same units. For this, we have to use the measurement conversion from yard to feet, which is given as one yard is equal to three feet. Then, the fencing cost given in dollars per yard will be converted in dollars per feet. Finally, multiplying the cost with the given length, we will get the final cost required.

Complete step by step solution:
According to the question, the cost of fencing is given to be equal to $\$4.71$ per yard. But the length of the fence is given in feet. So we need to convert the given fencing cost from per yard to per foot.
We know that one yard is equal to three yards. So the fencing cost can be given in per feet by
$\begin{align}
  & \Rightarrow C=\dfrac{\$4.71}{3}\\
&\Rightarrow C=\$1.57\\
\end{align}$
So the cost of fencing is equal to $\$1.57$ per foot.
Now, according to the above question, the total length of the chicken wire required for the fencing is given to be equal to $53$ feet. Since we found the cost to fencing of one feet is equal to $\$1.57$, so the cost of fencing of $53$ is given by
$\begin{align}
  & \Rightarrow \$1.57\times53\\
&\Rightarrow\$83.21\\
\end{align}$
Hence, the required cost of chicken wire needed for fencing is equal to $\$83.21$.

Note:
To solve these types of questions, we must be familiar with the conversions of the units of measurements. The units of yard and feet are not very much familiar to many students and so they may face difficulty in solving these types of problems. So it is important to learn the conversions of these units, since there is no alternative method to solve the above problem.