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Calculate the total mass of 7 lorries if each lorry has a mass of 3t 245kg. Express your answer in tonnes and kilograms.

Mathematics

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Answer

22t 715kg\text{22t 715kg}

Step-by-step solution

3 steps
  1. Convert the mass of one lorry to kilograms.

    We know that 1 tonne (t)=1000 kg1 \text{ tonne (t)} = 1000 \text{ kg}.
    The mass of each lorry is 3t 245kg3\text{t } 245\text{kg}.

    3t 245kg=(3×1000) kg+245 kg3\text{t } 245\text{kg} = (3 \times 1000)\text{ kg} + 245\text{ kg} =3000 kg+245 kg= 3000\text{ kg} + 245\text{ kg} =3245 kg= 3245\text{ kg}
  2. Calculate the total mass of 7 lorries.

    To find the total mass, multiply the mass of one lorry by the number of lorries.
    Total mass = 7×3245 kg7 \times 3245\text{ kg}

    =22715 kg= 22715\text{ kg}
  3. Convert the total mass back to tonnes and kilograms.

    22715 kg=22000 kg+715 kg22715\text{ kg} = 22000\text{ kg} + 715\text{ kg}

    Since 1000 kg=1t1000\text{ kg} = 1\text{t}, then 22000 kg=22t22000\text{ kg} = 22\text{t}.
    So, the total mass is 22t 715kg22\text{t } 715\text{kg}.

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