The problem asks us to determine which set of building blocks, Set A or Set B, is cheaper per block. We are given the number of blocks and the cost for each set. Set A contains 60 blocks and costs $12, while Set B contains 150 blocks and costs $28.

ArithmeticCost AnalysisUnit PriceDivisionComparison
2025/3/17

1. Problem Description

The problem asks us to determine which set of building blocks, Set A or Set B, is cheaper per block. We are given the number of blocks and the cost for each set. Set A contains 60 blocks and costs 12,whileSetBcontains150blocksandcosts12, while Set B contains 150 blocks and costs
2
8.

2. Solution Steps

To find the cost per block for each set, we need to divide the total cost by the number of blocks.
For Set A:
Cost per block =Total CostNumber of Blocks=1260=0.20= \frac{\text{Total Cost}}{\text{Number of Blocks}} = \frac{12}{60} = 0.20 euros per block.
For Set B:
Cost per block =Total CostNumber of Blocks=281500.1867= \frac{\text{Total Cost}}{\text{Number of Blocks}} = \frac{28}{150} \approx 0.1867 euros per block.
Comparing the cost per block for Set A and Set B:
Set A: 0.200.20 euros per block
Set B: 0.18670.1867 euros per block
Since 0.1867<0.200.1867 < 0.20, Set B is cheaper per block.

3. Final Answer

Set B is cheaper per block.

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