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:
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Calculate the total number of nails required: \[ \text{Total nails} = \text{Length of fence} \times \text{Nails per meter} \] \[ \text{Total nails} = 125 , \text{m} \times 30 , \text{nails/m} = 3750 , \text{nails} \]
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Calculate the number of boxes of nails needed: Since there are 50 nails in each box: \[ \text{Number of boxes} = \frac{\text{Total nails}}{\text{Nails per box}} = \frac{3750}{50} = 75 , \text{boxes} \]
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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.