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Renee buys 5 kg of sweets to sell - Edexcel - GCSE Maths - Question 3 - 2018 - Paper 1

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Renee buys 5 kg of sweets to sell. She pays £10 for the sweets. Renee puts all the sweets into bags. She puts 250g of sweets into each bag. She sells each bag of sw... show full transcript

Worked Solution & Example Answer:Renee buys 5 kg of sweets to sell - Edexcel - GCSE Maths - Question 3 - 2018 - Paper 1

Step 1

Calculate the Number of Bags

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Answer

To find the number of bags Renee can create, we first convert the total weight of sweets from kilograms to grams. Since 1 kg equals 1000 grams, 5 kg is:

5extkg=5imes1000=5000extgrams5 ext{ kg} = 5 imes 1000 = 5000 ext{ grams}

Now, dividing the total grams by the amount of sweets per bag:

extNumberofbags=5000extgrams250extgrams/bag=20extbags ext{Number of bags} = \frac{5000 ext{ grams}}{250 ext{ grams/bag}} = 20 ext{ bags}

Step 2

Calculate Total Revenue from Sales

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Answer

Next, we calculate the revenue earned by selling all the bags at 65p each. First, we convert 65p to pounds:

65extp=0.65extpounds65 ext{ p} = 0.65 ext{ pounds}

Now, multiplying the number of bags by the selling price per bag:

Total Revenue=20extbags×0.65extpounds/bag=13extpounds\text{Total Revenue} = 20 ext{ bags} \times 0.65 ext{ pounds/bag} = 13 ext{ pounds}

Step 3

Calculate the Profit

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Answer

To find the profit, we subtract the initial cost from the total revenue:

Profit=Total RevenueCost=13extpounds10extpounds=3extpounds\text{Profit} = \text{Total Revenue} - \text{Cost} = 13 ext{ pounds} - 10 ext{ pounds} = 3 ext{ pounds}

Step 4

Calculate the Percentage Profit

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Finally, we calculate the percentage profit using the formula:

Percentage Profit=(ProfitCost)×100\text{Percentage Profit} = \left( \frac{\text{Profit}}{\text{Cost}} \right) \times 100

Substituting the values we found:

Percentage Profit=(310)×100=30%\text{Percentage Profit} = \left( \frac{3}{10} \right) \times 100 = 30\%

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