ExpertMedium4 marksStructured
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.
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
£6.50
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.
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