Question

A 2-yard piece of aluminum wire costs $30.96. What is the price per inch?

$

Answer 1

To find the price per inch of the aluminum wire, we will first convert the length from yards to inches and then calculate the price per inch.

1. **Convert yards to inches**:
- There are 36 inches in one yard.
- Therefore, 2 yards is:
\[
2 \text{ yards} \times 36 \text{ inches/yard} = 72 \text{ inches}
\]

2. **Calculate the price per inch**:
- The total cost of the wire is $30.96.
- To find the price per inch, we divide the total cost by the total length in inches:
\[
\text{Price per inch} = \frac{\text{Total cost}}{\text{Total length in inches}} = \frac{30.96}{72}
\]

Performing the division:
\[
\frac{30.96}{72} \approx 0.430
\]

Thus, the price per inch of the aluminum wire is approximately **$0.43**.