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If each block costs GHe 1.80 and the cost of labour is one-third the cost of a block, find the total cost of laying the blocks.

Mathematics

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Answer

GH¢ 420.00\text{GH¢ 420.00}

Step-by-step solution

5 steps

  1. Recall the number of blocks from the previous problem.

    From the previous calculation, the number of blocks required is 175.

  2. Calculate the total cost of the blocks.

    The cost of each block is GH¢ 1.80.

    Total cost of blocks=Number of blocks×Cost per block\text{Total cost of blocks} = \text{Number of blocks} \times \text{Cost per block} Total cost of blocks=175×GH¢ 1.80\text{Total cost of blocks} = 175 \times \text{GH¢ } 1.80 Total cost of blocks=GH¢ 315.00\text{Total cost of blocks} = \text{GH¢ } 315.00

  3. Calculate the cost of labor per block.

    The cost of labor is one-third the cost of a block.

    Cost of labor per block=13×Cost per block\text{Cost of labor per block} = \frac{1}{3} \times \text{Cost per block} Cost of labor per block=13×GH¢ 1.80\text{Cost of labor per block} = \frac{1}{3} \times \text{GH¢ } 1.80 Cost of labor per block=GH¢ 0.60\text{Cost of labor per block} = \text{GH¢ } 0.60

  4. Calculate the total cost of labor.

    Total cost of labor=Number of blocks×Cost of labor per block\text{Total cost of labor} = \text{Number of blocks} \times \text{Cost of labor per block} Total cost of labor=175×GH¢ 0.60\text{Total cost of labor} = 175 \times \text{GH¢ } 0.60 Total cost of labor=GH¢ 105.00\text{Total cost of labor} = \text{GH¢ } 105.00

  5. Calculate the total cost of laying the blocks.

    Total cost=Total cost of blocks+Total cost of labor\text{Total cost} = \text{Total cost of blocks} + \text{Total cost of labor} Total cost=GH¢ 315.00+GH¢ 105.00\text{Total cost} = \text{GH¢ } 315.00 + \text{GH¢ } 105.00 Total cost=GH¢ 420.00\text{Total cost} = \text{GH¢ } 420.00

    The total cost of laying the blocks is GH¢ 420.00\text{GH¢ 420.00}.

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