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    PracticeAQA GCSEAQA GCSE Maths Foundation Tier Paper 1 Non-CalculatorQuestion 06
    Medium4 marksStructured
    NumberNumberMoneyMulti-step problemFoundation

    AQA GCSE · Question 06 · Number

    Sally buys two hats and three scarves.
    The total cost is £28.50
    Each hat costs £4.50
    Work out the cost of each scarf.

    How to approach this question

    1. Find the total cost of the two hats. Cost of one hat = £4.50 Cost of two hats = 2 × £4.50 = £9.00 2. Find the total cost of the three scarves. Total cost - cost of hats = cost of scarves £28.50 - £9.00 = £19.50 3. Find the cost of one scarf. Cost of three scarves = £19.50 Cost of one scarf = £19.50 ÷ 3 To calculate 19.50 ÷ 3: 18 ÷ 3 = 6 1.50 ÷ 3 = 0.50 So, £19.50 ÷ 3 = £6.50

    Full Answer

    This is a multi-step problem. We need to break it down. **Step 1: Calculate the total cost of the hats.** Sally buys two hats, and each one costs £4.50. Total cost of hats = 2 × £4.50 = £9.00. **Step 2: Calculate the total cost of the scarves.** The total cost for everything is £28.50. We can find the cost of the scarves by subtracting the cost of the hats from the total. Total cost of scarves = Total cost - Total cost of hats Total cost of scarves = £28.50 - £9.00 = £19.50. **Step 3: Calculate the cost of one scarf.** The £19.50 is the cost for three scarves. To find the cost of one scarf, we divide this amount by 3. Cost of one scarf = £19.50 ÷ 3. We can calculate this as: 18 ÷ 3 = 6 1.50 ÷ 3 = 0.50 So, £6 + £0.50 = £6.50. The cost of each scarf is £6.50.

    Common mistakes

    ✗ Forgetting to multiply the hat cost by 2.\n✗ Subtracting the cost of only one hat from the total.\n✗ Making an error in the subtraction or division calculations.
    Question 05All questionsQuestion 07.1

    Practice the full AQA GCSE Maths Foundation Tier Paper 1 Non-Calculator

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