Questions: Barbed wire sells for 3.50 per yard. How much will it cost to run a strand of barbed wire along the top of a 250'0" long security fence?

Transcript text: 20. Barbed wire sells for $\$ 3.50$ per yard. How much will it cost to run a strand of barbed wire along the top of a $250^{\prime}-0^{\prime \prime}$ long security fence?

Solution

Solution Steps

Step 1: Convert the length of the fence from feet to yards

The fence is $ 250 $ feet long. Since $ 1 $ yard $ = 3 $ feet, we convert the length to yards: \[ \text{Length in yards} = \frac{250}{3} \approx 83.333 \, \text{yards}. \]

Step 2: Calculate the total cost of the barbed wire

The barbed wire costs $ \$3.50 $ per yard. Multiply the length in yards by the cost per yard: \[ \text{Total cost} = 83.333 \times 3.50 \approx 291.666 \, \text{dollars}. \]

Step 3: Round the total cost to the nearest cent

The total cost is approximately $ \$291.666 $. Rounding to the nearest cent gives: \[ \text{Total cost} \approx \$291.67. \]