艾莉(Elly)、内森(Nathan)和特伦斯(Terence)每人拥有的镇纸数量相同。艾莉有 9 个金属镇纸和一些木质镇纸。艾莉的镇纸总质量为 44.7 g。特伦斯只有木质镇纸。艾莉发现她的镇纸总质量比特伦斯的镇纸总质量多 7.2 g。内森有 4 个金属镇纸和一些木质镇纸。求内森的镇纸总质量。 答:___ g

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完整解法

30

1. Find the difference in mass between 1 metal weight and 1 wooden weight.

Since Elly and Terence have the same total number of weights, but Elly has 99 metal weights while Terence has only wooden weights, the 7.2 g7.2\text{ g} difference is due to 99 metal weights replacing 99 wooden weights.
Difference between 99 metal and 99 wooden weights =7.2 g= 7.2\text{ g}
Difference between 11 metal and 11 wooden weight =7.2÷9=0.8 g= 7.2 \div 9 = 0.8\text{ g}

2. Find the total mass of Terence's weights.

Terence's total mass =44.7−7.2=37.5 g= 44.7 - 7.2 = 37.5\text{ g}

3. Calculate the total mass of Nathan's weights.

Nathan has the same total number of weights as Terence, but with 44 metal weights instead of wooden ones.
Nathan's total mass =37.5+(4×0.8)=37.5+3.2=40.7 g= 37.5 + (4 \times 0.8) = 37.5 + 3.2 = 40.7\text{ g}

答案

40.740.7

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