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A rope measuring 12.9 metres is cut into 3 equal pieces. What is the length of each piece? A trader has 18.5kg of rice and packs it equally in 5 bags. How much rice is in each bag? A piece of cloth cost GH¢ 12.50 per metre. How much will 4.5 metres cost?

Mathematics

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Answer

4.3 metres\text{4.3 metres}

3.7 kg\text{3.7 kg}

GH¢ 56.25\text{GH¢ 56.25}

Step-by-step solution

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Here are the solutions to your homework problems:

1) A rope measuring 12.9 metres is cut into 3 equal pieces. What is the length of each piece?

  1. Identify the total length of the rope and the number of equal pieces.

    Total length =12.9= 12.9 metres
    Number of pieces =3= 3

  2. Divide the total length by the number of pieces to find the length of each piece.

    Length of each piece=12.9 m3\text{Length of each piece} = \frac{12.9 \text{ m}}{3}

  3. Perform the division.

    Length of each piece=4.3 m\text{Length of each piece} = 4.3 \text{ m}

    The length of each piece is 4.3 metres\boxed{\text{4.3 metres}}.

    2) A trader has 18.5kg of rice and packs it equally in 5 bags. How much rice is in each bag?

  4. Identify the total amount of rice and the number of bags.

    Total rice =18.5= 18.5 kg
    Number of bags =5= 5

  5. Divide the total amount of rice by the number of bags to find the amount of rice in each bag.

    Rice in each bag=18.5 kg5\text{Rice in each bag} = \frac{18.5 \text{ kg}}{5}

  6. Perform the division.

    Rice in each bag=3.7 kg\text{Rice in each bag} = 3.7 \text{ kg}

    There is 3.7 kg\boxed{\text{3.7 kg}} of rice in each bag.

    3) A piece of cloth cost GH¢ 12.50 per metre. How much will 4.5 metres cost?

  7. Identify the cost per metre and the total length of cloth to be bought.

    Cost per metre =GH¢ 12.50= \text{GH¢ } 12.50
    Length of cloth =4.5= 4.5 metres

  8. Multiply the cost per metre by the length of cloth to find the total cost.

    Total cost=12.50 GH¢/m×4.5 m\text{Total cost} = 12.50 \text{ GH¢/m} \times 4.5 \text{ m}

  9. Perform the multiplication.

    Total cost=56.25 GH¢\text{Total cost} = 56.25 \text{ GH¢}

    4.5 metres of cloth will cost GH¢ 56.25\boxed{\text{GH¢ 56.25}}.

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