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Nomkhosi buys a dog of potatoes at R9,99 per kg and a pocket of tomatoes at R10,99 per kg.

She pays R10,50 for a pocket of tomatoes. Calculate its mass, rounding off to the nearest kg.

Answer :

To calculate the mass of the pocket of tomatoes that Nomkhosi bought, we can use the price per kilogram and the total amount she paid.

Here's how you can solve the problem step by step:


  1. Understand the Given Information:


    • The price of tomatoes is R10.99 per kilogram.

    • Nomkhosi pays R10.50 for the pocket of tomatoes.



  2. Set Up the Equation:

    We use the formula [tex]\text{Total Cost} = \text{Price per kg} \times \text{Mass in kg}[/tex].

    Let [tex]x[/tex] be the mass of the tomatoes in kilograms.

    [tex]\text{Total Cost} = \text{Price per kg} \times \text{Mass in kg}[/tex]
    [tex]10.50 = 10.99 \times x[/tex]


  3. Solve for [tex]x[/tex]:

    Divide both sides by 10.99 to isolate [tex]x[/tex].

    [tex]x = \frac{10.50}{10.99}[/tex]
    [tex]x \approx 0.955 kg[/tex]


  4. Round to the Nearest Kilogram:

    Since 0.955 is closer to 1 kg than to 0 kg, we round up to the nearest kilogram.

    [tex]\text{Rounded Mass} = 1 \text{ kg}[/tex]



Therefore, the mass of the pocket of tomatoes is approximately 1 kg.

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Rewritten by : Barada