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A tailor needs to make three dresses for children aged 6, 7, and 10 years. The material required for each dress is 3m, 4.5m, and 5m respectively. The cost of the material is R120.50 per metre. Additio

Mathematics

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  1. Calculate the total metres of material needed for the three dresses.

    The material needed for each dress is:

    • 6-year-old dress: 3 metres
    • 7-year-old dress: 4.5 metres
    • 10-year-old dress: 5 metres
    Total material=3 m+4.5 m+5 m=12.5 m\text{Total material} = 3 \text{ m} + 4.5 \text{ m} + 5 \text{ m} = 12.5 \text{ m}

    The total metres of material needed is 12.5 metres.

    12.5 metres\boxed{12.5 \text{ metres}}
  2. Calculate the total material cost for the three dresses.

    The total material needed is 12.5 metres (from Q3.1).
    The material costs R120.50 per metre.

    Material cost=12.5 m×R120.50/m=R1506.25\text{Material cost} = 12.5 \text{ m} \times \text{R}120.50/\text{m} = \text{R}1506.25

    The material cost for the three dresses is R1506.25.

    R1506.25\boxed{\text{R}1506.25}
  3. Calculate the total length of embroidery cotton in metres for one dress.

    Nkgono uses 3 rolls of cotton per dress.
    Each roll is 4 metres long.

    Length in metres=3 rolls×4mroll=12 m\text{Length in metres} = 3 \text{ rolls} \times 4 \frac{\text{m}}{\text{roll}} = 12 \text{ m}
  4. Convert the length from metres to centimetres.

    Given that 1 metre = 100 centimetres.

    Length in centimetres=12 m×100cmm=1200 cm\text{Length in centimetres} = 12 \text{ m} \times 100 \frac{\text{cm}}{\text{m}} = 1200 \text{ cm}

    The length of the embroidery cotton for one dress is 1200 cm.

    1200 cm\boxed{1200 \text{ cm}}
  5. Determine the total number of embroidery cotton rolls needed for the three dresses.

    She uses 3 rolls of cotton per dress.
    There are 3 dresses (one of each size mentioned).

    Total rolls=3rollsdress×3 dresses=9 rolls\text{Total rolls} = 3 \frac{\text{rolls}}{\text{dress}} \times 3 \text{ dresses} = 9 \text{ rolls}
  6. Calculate the total cost for the embroidery cotton.

    Each roll of embroidery cotton costs R15.25.

    Total cost=9 rolls×R15.25/roll=R137.25\text{Total cost} = 9 \text{ rolls} \times \text{R}15.25/\text{roll} = \text{R}137.25

    The total amount she will pay for the embroidery cotton for the three dresses is R137.25.

    R137.25\boxed{\text{R}137.25}
  7. Calculate the material cost for a 10-year-old dress.

    A 10-year-old dress requires 5 metres of material.
    The material costs R120.50 per metre.

    Material cost=5 m×R120.50/m=R602.50\text{Material cost} = 5 \text{ m} \times \text{R}120.50/\text{m} = \text{R}602.50
  8. Calculate the embroidery cotton cost for one dress.

    One dress uses 3 rolls of embroidery cotton.
    Each roll costs R15.25.

    Embroidery cotton cost=3 rolls×R15.25/roll=R45.75\text{Embroidery cotton cost} = 3 \text{ rolls} \times \text{R}15.25/\text{roll} = \text{R}45.75
  9. Calculate the total cost of a dress for a 10-year-old.

    Total cost=Material cost+Embroidery cotton cost\text{Total cost} = \text{Material cost} + \text{Embroidery cotton cost} Total cost=R602.50+R45.75=R648.25\text{Total cost} = \text{R}602.50 + \text{R}45.75 = \text{R}648.25

    The total cost of a dress for a 10-year-old is R648.25.

    R648.25\boxed{\text{R}648.25}
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