Subjects algebra

Paper Weight

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Paper Weight


1. **Stating the problem:** We know the weight of 12 sheets of thick paper is 40 kg. We want to find how many sheets would weigh 1 g. 2. **Convert all weights to the same units:** 1 kg = 1000 g, so 40 kg = 40000 g. 3. **Find the weight of one sheet:** Since 12 sheets weigh 40000 g, the weight of one sheet is $$\frac{40000}{12} = 3333.33\text{ g}.$$ 4. **Find the number of sheets that weigh 1 g:** Let $x$ be the number of sheets that weigh 1 g. Using a proportion, $$x \times 3333.33 = 1,$$ so $$x = \frac{1}{3333.33} \approx 0.0003.$$ 5. **Interpretation:** Since the weight of one sheet is much larger than 1 g, it's impossible for even one sheet to weigh only 1 g. The question might need correction or clarification. **Final answer:** Approximately 0.0003 sheets would weigh 1 g, which means less than one sheet (not physically possible).