Question

How much would it cost Craig to buy nails used to build a fence 125 meters long if he used 30 nails per meter? Assume that 50 nails are in each box and the boxes are $.75 each

Answer 1

To determine the total cost for Craig to buy the nails to build a fence that is 125 meters long, we'll follow these steps:

1. **Calculate the total number of nails required:**
\[
\text{Total nails} = \text{Length of fence} \times \text{Nails per meter}
\]
\[
\text{Total nails} = 125 \, \text{m} \times 30 \, \text{nails/m} = 3750 \, \text{nails}
\]

2. **Calculate the number of boxes of nails needed:**
Since there are 50 nails in each box:
\[
\text{Number of boxes} = \frac{\text{Total nails}}{\text{Nails per box}} = \frac{3750}{50} = 75 \, \text{boxes}
\]

3. **Calculate the total cost:**
Each box costs $0.75, so:
\[
\text{Total cost} = \text{Number of boxes} \times \text{Cost per box}
\]
\[
\text{Total cost} = 75 \, \text{boxes} \times 0.75 \, \text{dollars/box} = 56.25 \, \text{dollars}
\]

Therefore, it would cost Craig **$56.25** to buy the nails needed to build the fence.