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Amanishah bought 3,898 pens to sell at his shop. Each pen has a mass of 0.012 kg and sold each pen for GHC 0.85. Find, correct to 2 decimal places: a) The total mass of all the pens b) The total amount he will get when he sells half of the pens.

Mathematics

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Answers

2 parts
a

46.78 kg\text{46.78 kg}

b

GH¢ 1656.65\text{GH¢ 1656.65}

Step-by-step solution

7 steps

Part a· 3 steps

The total mass of all the pens

  1. Identify the given values.

    Number of pens = 3,898
    Mass of one pen = 0.012 kg

  2. Calculate the total mass by multiplying the number of pens by the mass of one pen.

    Total mass=3,898×0.012 kg\text{Total mass} = 3,898 \times 0.012 \text{ kg} Total mass=46.776 kg\text{Total mass} = 46.776 \text{ kg}

  3. Round the total mass to 2 decimal places.

    Total mass=46.78 kg\text{Total mass} = 46.78 \text{ kg}

    The total mass of all the pens is 46.78 kg\boxed{\text{46.78 kg}}.

Part b

GH¢ 1656.65\text{GH¢ 1656.65}

The total amount he will get when he sells half of the pens

  1. Determine the number of pens sold (half of the total pens).

    Number of pens sold=3,8982\text{Number of pens sold} = \frac{3,898}{2} Number of pens sold=1,949\text{Number of pens sold} = 1,949

  2. Identify the selling price per pen.

    Selling price per pen = GH¢ 0.85

  3. Calculate the total amount by multiplying the number of pens sold by the selling price per pen.

    Total amount=1,949×0.85 GH¢\text{Total amount} = 1,949 \times 0.85 \text{ GH¢} Total amount=1656.65 GH¢\text{Total amount} = 1656.65 \text{ GH¢}

  4. The amount is already in 2 decimal places.

    The total amount he will get is GH¢ 1656.65\boxed{\text{GH¢ 1656.65}}.

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