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 Papers Pack of 5 rolls normal price £70 12% off the normal price Jo wants to buy the 15 rolls of wallpaper as cheaply as possible. Should Jo buy the wallpaper from Chic Decor or from Style Papers? You must show how you get your answer.

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

Question 5

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 of 15 rolls from Chic Decor, we need to determine how many sets of 3 rolls are needed:

$\text{Number of sets} = \frac{15}{3} = 5$

The cost for each set of 3 rolls is £36, therefore the total cost is:

$\text{Total cost} = 5 \times 36 = £180$

Step 2

Calculate the cost from Style Papers

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Answer

To find the cost for 15 rolls from Style Papers, we first note that a pack contains 5 rolls.

The number of packs needed is:

$\text{Number of packs} = \frac{15}{5} = 3$

The normal price for 3 packs (15 rolls) at £70 per pack is:

$\text{Normal cost} = 3 \times 70 = £210$

Applying the 12% discount:

$\text{Discount} = 0.12 \times 210 = £25.2$

The total cost after discount is:

$\text{Total cost} = 210 - 25.2 = £184.8$

Step 3

Compare the costs

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Answer

The total cost for 15 rolls from Chic Decor is £180, and the total cost from Style Papers is £184.8.

Thus, Jo should buy the wallpaper from Chic Decor since it is cheaper.

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