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A woman went to the market with 75,000 frs. She bought yams for 10,500 frs, meat for 28,800 frs, plantains for 15,000 frs, egusi for 3,000 frs, and palm oil for 1,500 frs. How much money did she spend

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Answers

3 parts
a

58,800 frs\text{58,800 frs}

b

16,200 frs\text{16,200 frs}

c

1,800 frs\text{1,800 frs}

Step-by-step solution

6 steps

here are the solutions to the market problem:

Part a· 2 steps

How much money did she spend altogether?

  1. Calculate the cost for each item.

    • Cost of yams: 3 bags×3,500 frs/bag=10,500 frs3 \text{ bags} \times 3,500 \text{ frs/bag} = 10,500 \text{ frs}
    • Cost of meat: 4 Kg×7,200 frs/Kg=28,800 frs4 \text{ Kg} \times 7,200 \text{ frs/Kg} = 28,800 \text{ frs}
    • Cost of plantains: 10 bunches×1,500 frs/bunch=15,000 frs10 \text{ bunches} \times 1,500 \text{ frs/bunch} = 15,000 \text{ frs}
    • Cost of egusi: Since 2 cups cost 300 frs, 1 cup costs 3002=150 frs\frac{300}{2} = 150 \text{ frs}. So, 20 cups×150 frs/cup=3,000 frs20 \text{ cups} \times 150 \text{ frs/cup} = 3,000 \text{ frs}
    • Cost of Palm oil: 3 litres×500 frs/litre=1,500 frs3 \text{ litres} \times 500 \text{ frs/litre} = 1,500 \text{ frs}

  2. Sum the costs of all items to find the total money spent.

    Total spent=10,500+28,800+15,000+3,000+1,500\text{Total spent} = 10,500 + 28,800 + 15,000 + 3,000 + 1,500 Total spent=58,800 frs\text{Total spent} = 58,800 \text{ frs}

    She spent 58,800 frs\boxed{\text{58,800 frs}} altogether.

Part b

16,200 frs\text{16,200 frs}

How much balance did she return home with?

  1. Identify the initial amount of money and the total amount spent.

    Initial money =75,000 frs= 75,000 \text{ frs}
    Total spent =58,800 frs= 58,800 \text{ frs} (from part a)

  2. Subtract the total spent from the initial money to find the balance.

    Balance=Initial money−Total spent\text{Balance} = \text{Initial money} - \text{Total spent} Balance=75,000 frs−58,800 frs\text{Balance} = 75,000 \text{ frs} - 58,800 \text{ frs} Balance=16,200 frs\text{Balance} = 16,200 \text{ frs}

    She returned home with a balance of 16,200 frs\boxed{\text{16,200 frs}}.

Part c

1,800 frs\text{1,800 frs}

What is the cost of a Kg of meat?

  1. Identify the total cost and quantity of meat purchased.

    Total cost of meat =7,200 frs= 7,200 \text{ frs}
    Quantity of meat =4 Kg= 4 \text{ Kg}

  2. Divide the total cost by the quantity to find the cost per Kg.

    Cost per Kg of meat=Total cost of meatQuantity of meat\text{Cost per Kg of meat} = \frac{\text{Total cost of meat}}{\text{Quantity of meat}} Cost per Kg of meat=7,200 frs4 Kg\text{Cost per Kg of meat} = \frac{7,200 \text{ frs}}{4 \text{ Kg}} Cost per Kg of meat=1,800 frs/Kg\text{Cost per Kg of meat} = 1,800 \text{ frs/Kg}

    The cost of a Kg of meat is 1,800 frs\boxed{\text{1,800 frs}}.

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