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Jo is going to buy 15 rolls of wallpaper - Edexcel - GCSE Maths - Question 5 - 2022 - Paper 3

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Jo is going to buy 15 rolls of wallpaper. Here is some information about the cost of rolls of wallpaper from each of two shops. Chic Decor 3 rolls for £36 Style P... show full transcript

Worked Solution & Example Answer:Jo is going to buy 15 rolls of wallpaper - Edexcel - GCSE Maths - Question 5 - 2022 - Paper 3

Step 1

Calculate the cost from Chic Decor

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Answer

To find the cost from Chic Decor for 15 rolls, we first determine the cost of one roll:

  • 3 rolls cost £36, thus the cost per roll is:

    Cost per roll=363=£12\text{Cost per roll} = \frac{36}{3} = £12

  • For 15 rolls, the total cost will be:

    Total cost=15×12=£180\text{Total cost} = 15 \times 12 = £180

Step 2

Calculate the cost from Style Papers

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Answer

Next, we calculate the cost from Style Papers. We first find out how many packs are needed:

  • If 5 rolls cost £70, then without discount:

    3 packs=3×5=15 rolls3 \text{ packs} = 3 \times 5 = 15 \text{ rolls}

  • The total cost without discount is:

    Total cost (without discount)=3×70=£210\text{Total cost (without discount)} = 3 \times 70 = £210

  • Applying the 12% discount:

    Discount=0.12×210=£25.20\text{Discount} = 0.12 \times 210 = £25.20

  • Therefore, the total cost with discount is:

    Total cost=210−25.20=£184.80\text{Total cost} = 210 - 25.20 = £184.80

Step 3

Decision

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Answer

Comparing both costs:

  • Cost from Chic Decor: £180
  • Cost from Style Papers: £184.80

Jo should buy the wallpaper from Chic Decor as it is cheaper at £180.

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