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Hardeep buys 11 identical shirts and 24 identical ties for £403.51 - OCR - GCSE Maths - Question 7 - 2017 - Paper 1

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Question 7

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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 7 - 2017 - Paper 1

Step 1

Find the total cost of the shirts

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Answer

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

extTotalcostofshirts=11imes15.65=172.15 ext{Total cost of shirts} = 11 imes 15.65 = 172.15

Step 2

Find the total cost of the ties

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Answer

Next, we subtract the total cost of the shirts from the total amount spent to find the total cost of the ties:

extTotalcostofties=403.51−172.15=231.36 ext{Total cost of ties} = 403.51 - 172.15 = 231.36

Step 3

Find the cost of one tie

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Answer

Finally, to find the cost of one tie, we divide the total cost of the ties by the number of ties:

extCostofonetie=231.3624=9.64 ext{Cost of one tie} = \frac{231.36}{24} = 9.64

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