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The provided text contains a till slip with meter number 07032985769. It lists electricity cost (excluding VAT) as R1 130.43 and total cost as R1 300.00. The electricity tariff is R2.19/kWh for the fi

Mathematics

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Answer

B=R169.57B = \text{R}169.57

475.06 kWh475.06 \text{ kWh}

Step-by-step solution

5 steps

  1. Answer question 2.1.1.

    The meter number is explicitly stated on the till slip under "Meter:".
    The meter number is 07032985769.

  2. Answer question 2.1.2.

    The till slip shows the following breakdown:
    Electricity: R1 130,43
    VAT 15%: B
    TOTAL: R1 300,00

    To find the missing value B, which represents the VAT, we subtract the Electricity amount from the Total amount.

    B=Total−ElectricityB = \text{Total} - \text{Electricity} B=R1 300.00−R1 130.43B = \text{R}1\,300.00 - \text{R}1\,130.43 B=R169.57B = \boxed{\text{R}169.57}

  3. Answer question 2.1.3 by calculating the cost for Block 1.

    The total electricity amount Mieecke purchased (excluding VAT) is R1 130,43.
    The tariff table is:

    • Block 1: 0-350 kWh at R2.19/kWh
    • Block 2: More than 350 kWh at R2.91/kWh

    First, calculate the cost for the maximum consumption in Block 1:

    Cost for Block 1=350 kWh×R2.19/kWh\text{Cost for Block 1} = 350 \text{ kWh} \times \text{R}2.19/\text{kWh} Cost for Block 1=R766.50\text{Cost for Block 1} = \text{R}766.50

  4. Calculate the remaining cost and the kWh units in Block 2.

    Since the total electricity cost (R1 130,43) is greater than the cost for Block 1 (R766.50), Mieecke purchased units in Block 2.
    Calculate the remaining cost that falls into Block 2:

    Remaining cost=Total electricity cost−Cost for Block 1\text{Remaining cost} = \text{Total electricity cost} - \text{Cost for Block 1} Remaining cost=R1 130.43−R766.50\text{Remaining cost} = \text{R}1\,130.43 - \text{R}766.50 Remaining cost=R363.93\text{Remaining cost} = \text{R}363.93

    Now, calculate the number of kWh units purchased in Block 2 using the tariff for Block 2:

    Units in Block 2=Remaining costTariff for Block 2\text{Units in Block 2} = \frac{\text{Remaining cost}}{\text{Tariff for Block 2}} Units in Block 2=R363.93R2.91/kWh\text{Units in Block 2} = \frac{\text{R}363.93}{\text{R}2.91/\text{kWh}} Units in Block 2=125.06185... kWh\text{Units in Block 2} = 125.06185... \text{ kWh}

  5. Calculate the total number of kWh units purchased.

    Add the units from Block 1 and Block 2:

    Total kWh units=Units in Block 1+Units in Block 2\text{Total kWh units} = \text{Units in Block 1} + \text{Units in Block 2} Total kWh units=350 kWh+125.06185... kWh\text{Total kWh units} = 350 \text{ kWh} + 125.06185... \text{ kWh} Total kWh units=475.06185... kWh\text{Total kWh units} = 475.06185... \text{ kWh}

    Rounding to two decimal places:

    Total kWh units=475.06 kWh\text{Total kWh units} = \boxed{475.06 \text{ kWh}}
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