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

Question 8

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
Calculate the total cost of the shirts

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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
Calculate the total cost spent on the ties

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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
Find the cost of a tie

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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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