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Hardeep buys 11 identical shirts and 24 identical ties for £403.51 - OCR - GCSE Maths - Question 8 - 2017 - Paper 1

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Question 8

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Hardeep buys 11 identical shirts and 24 identical ties for £403.51. The cost of a shirt is £15.65. Find the cost of a tie.

Worked Solution & Example Answer:Hardeep buys 11 identical shirts and 24 identical ties for £403.51 - OCR - GCSE Maths - Question 8 - 2017 - Paper 1

Step 1

Calculate the total cost of the shirts

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Answer

To find the total cost of the 11 shirts, we multiply the cost of a shirt by the number of shirts:

Total cost of shirts = Cost of a shirt × Number of shirts

Total cost of shirts = £15.65 × 11

Total cost of shirts = £172.15

Step 2

Calculate the total cost spent on the ties

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Answer

Next, we find the total cost spent on the ties by subtracting the total cost of the shirts from the total amount spent:

Total cost of ties = Total amount spent - Total cost of shirts

Total cost of ties = £403.51 - £172.15

Total cost of ties = £231.36

Step 3

Find the cost of a tie

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Answer

Finally, we can find the cost of one tie by dividing the total cost of the ties by the number of ties:

Cost of a tie = Total cost of ties ÷ Number of ties

Cost of a tie = £231.36 ÷ 24

Cost of a tie = £9.64

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