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A family buys 3kg of groundnuts at Sh. 6000 per kg, 0.5kg of rice at Sh. 5000 per kg, 1 bar of soap at Sh. 6000 per bar and 2 litres of cooking oil at Sh. 8000 per litre. Calculate the total expenditu

Mathematics

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Answer

b

Sh. 7500\text{Sh. } 7500

Step-by-step solution

3 steps
  1. Calculate the missing quantity for Rice.

    The amount spent on Rice is Sh. 2500, and the unit cost is Sh. 5000 per kg.

    Quantity of Rice=AmountUnit cost=Sh. 2500Sh. 5000/kg=0.5 kg\text{Quantity of Rice} = \frac{\text{Amount}}{\text{Unit cost}} = \frac{\text{Sh. } 2500}{\text{Sh. } 5000/\text{kg}} = 0.5 \text{ kg}
  2. Complete the table for part (a).

    • G.nuts: 3 kg×Sh. 6000/kg=Sh. 180003 \text{ kg} \times \text{Sh. } 6000/\text{kg} = \text{Sh. } 18000
    • Rice: 0.5 kg×Sh. 5000/kg=Sh. 25000.5 \text{ kg} \times \text{Sh. } 5000/\text{kg} = \text{Sh. } 2500
    • Soap: 1 bar×Sh. 6000/bar=Sh. 60001 \text{ bar} \times \text{Sh. } 6000/\text{bar} = \text{Sh. } 6000
    • Cooking oil: 2 litres×Sh. 8000/litre=Sh. 160002 \text{ litres} \times \text{Sh. } 8000/\text{litre} = \text{Sh. } 16000

    The total expenditure is the sum of all amounts:

    Total expenditure=Sh. 18000+Sh. 2500+Sh. 6000+Sh. 16000=Sh. 42500\text{Total expenditure} = \text{Sh. } 18000 + \text{Sh. } 2500 + \text{Sh. } 6000 + \text{Sh. } 16000 = \text{Sh. } 42500

    The completed table is:

    ItemsQuantityUnit costAmount
    G.nuts3kgSh. 6000 per kgSh. 18000
    Rice0.5kgSh. 5000 per kgSh. 2500
    Soap1 barSh. 6000 per barSh. 6000
    Cooking oil2 litresSh. 8000 per litreSh. 16000
    Total expenditureSh. 42500
  3. Calculate the change for part (b).

    Mr. Denis went with Sh. 50,000.

    Change=Money given−Total expenditure\text{Change} = \text{Money given} - \text{Total expenditure} Change=Sh. 50000−Sh. 42500=Sh. 7500\text{Change} = \text{Sh. } 50000 - \text{Sh. } 42500 = \text{Sh. } 7500

    a) The completed table is shown above.

    b) The change is:

    Sh. 7500\boxed{\text{Sh. } 7500}
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