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Mathematics

A bundle of 500 sheets of paper has a net weight of 23102\dfrac{3}{10}kg. Find the weight of 1 sheet of paper.

Fractions

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Answer

Given:

Total weigth = 2310 kg=2310 kg2\dfrac{3}{10} \text{ kg} = \dfrac{23}{10} \text{ kg}

Number of sheets = 500

Weigth of 1 sheet of paper = (Total weigth) ÷ (Number of sheets)

Substituting the values in above, we get:

Weigth of 1 sheet of paper = 2310\dfrac{23}{10} kg ÷ 500

=(2310×1500) kg[Reciprocal of 500 is 1500]=23×110×500 kg=235000 kg\begin{array}{ll} = \Big(\dfrac{23}{10} \times \dfrac{1}{500}\Big)\text{ kg} & [\text{Reciprocal of } 500 \text{ is } \dfrac{1}{500}] \\ = \dfrac{23 \times 1}{10 \times 500} \text{ kg} \\ = \dfrac{23}{5000} \text{ kg} \end{array}

∴ The weigth of 1 sheet of paper = 235000\dfrac{23}{5000} kg

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