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A scientist from the United Kingdom claims that the total weight of the mirrors is 1 450 stone. Verify this claim.

Mathematics

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Step-by-step solution

4 steps
  1. Calculate the total weight of the mirrors in kilograms.

    There are 91 individual mirrors, and each mirror weighs about 100 kg.

    Total weight in kg=Number of mirrors×Weight per mirror\text{Total weight in kg} = \text{Number of mirrors} \times \text{Weight per mirror} Total weight in kg=91×100 kg=9100 kg\text{Total weight in kg} = 91 \times 100 \text{ kg} = 9100 \text{ kg}
  2. Convert the total weight from kilograms to pounds.

    We are given the conversion: 1 pound=0.45359 kg1 \text{ pound} = 0.45359 \text{ kg}.
    To convert kg to pounds, we divide by the conversion factor.

    Total weight in pounds=9100 kg0.45359 kg/pound\text{Total weight in pounds} = \frac{9100 \text{ kg}}{0.45359 \text{ kg/pound}} Total weight in pounds≈20062.64 pounds\text{Total weight in pounds} \approx 20062.64 \text{ pounds}
  3. Convert the total weight from pounds to stone.

    We are given the conversion: 1 stone=14 pounds1 \text{ stone} = 14 \text{ pounds}.
    To convert pounds to stone, we divide by 14.

    Total weight in stone=20062.64 pounds14 pounds/stone\text{Total weight in stone} = \frac{20062.64 \text{ pounds}}{14 \text{ pounds/stone}} Total weight in stone≈1433.05 stone\text{Total weight in stone} \approx 1433.05 \text{ stone}
  4. Verify the claim.

    The scientist claims the total weight is 1 450 stone. Our calculation shows the weight is approximately 1433.05 stone.
    Since 1433.05 stone is not equal to 1450 stone, the claim is incorrect.

    The claim is ❌ Incorrect. The total weight of the mirrors is approximately 1433.05 stone.

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